(* Results for RCs and anomalous dimensions of a non-abelian gauge model with any number of irreducible representations at four-loop level *) (* Symbols: nli, nlj, nlk, nll = Numbers of fermion multiplets in representation i,j,k,l, where we sum over i,j,k,l tri, trj, trk, trl = Traces TF for representations i,j,k,l cfi, cfj, cfk, cfl = Casimir operators cF for representation i,j,k,l cA = Casimir operator for the adjoint representation NA = number of gauge group generators/ gauge bosons cR1 = Casimir operator cF for the representation R1 NR1 = dimension of the representation R1 dAA4 = contraction of 2 symmetrized Traces of 4 adjoint generators each dFF4ij= contraction of 2 symmetrized Traces of 4 generators in representations i and j dFFAi= contraction of 2 symmetrized Traces one with 4 generators in representations i and one with 4 adjoint generators dFF4iR1= contraction of 2 symmetrized Traces of 4 generators in representations i and R1 dFFAR1= contraction of 2 symmetrized Traces one with 4 generators in representations R1 and one with 4 adjoint generators *) (* wave function renormalization constants for gauge boson, ghost and the fermion field q in representation R1 *) Z3gg = +a*(-4/3*ep^-1*nli*tri + 5/3*ep^-1*cA + 1/2*ep^-1*xi*cA) + a^2*(+5/3*ep^-2*cA*nli*tri - 25/12*ep^-2*cA^2 - 2/3*ep^-2*xi*cA*nli*tri + 5/24*ep^-2*xi*cA^2 + 1/4*ep^-2*xi^2*cA^2 - 2*ep^-1*nli*cfi*tri - 5/2*ep^-1*cA*nli*tri + 23/8*ep^-1*cA^2 + 15/16*ep^-1*xi*cA^2 - 1/8*ep^-1*xi^2*cA^2) + a^3*(+4/9*ep^-3*cA*nli*nlj*tri*trj - 65/18*ep^-3*cA^2*nli*tri + 275/72*ep^-3*cA^3 + 3/2*ep^-3*xi*cA^2*nli*tri - 15/16*ep^-3*xi*cA^3 - 1/3*ep^-3*xi^2*cA^2*nli*tri - 5/24*ep^-3*xi^2*cA^3 + 1/8*ep^-3*xi^3*cA^3 - 8/9*ep^-2*nli*nlj*cfj*tri*trj + 40/9*ep^-2*cA*nli*cfi*tri - 50/27*ep^-2*cA*nli*nlj*tri*trj + 1151/108*ep^-2*cA^2*nli*tri - 4325/432*ep^-2*cA^3 - ep^-2*xi*cA*nli*cfi*tri - 23/12*ep^-2*xi*cA^2*nli*tri - 1/32*ep^-2*xi*cA^3 + 1/6*ep^-2*xi^2*cA^2*nli*tri + 47/48*ep^-2*xi^2*cA^3 - 7/48*ep^-2*xi^3*cA^3 + 2/3*ep^-1*nli*cfi^2*tri + 44/27*ep^-1*nli*nlj*cfj*tri*trj - 5/54*ep^-1*cA*nli*cfi*tri + 76/27*ep^-1*cA*nli*nlj*tri*trj - 875/54*ep^-1*cA^2*nli*tri + 4051/432*ep^-1*cA^3 - 8*ep^-1*z3*cA*nli*cfi*tri + 6*ep^-1*z3*cA^2*nli*tri - 1/2*ep^-1*z3*cA^3 - 2/3*ep^-1*xi*cA^2*nli*tri + 127/48*ep^-1*xi*cA^3 + 3/8*ep^-1*xi*z3*cA^3 - 9/16*ep^-1*xi^2*cA^3 - 1/16*ep^-1*xi^2*z3*cA^3 + 7/96*ep^-1*xi^3*cA^3) + a^4*(+8/27*ep^-4*cA*nli*nlj*nlk*tri*trj*trk - 53/18*ep^-4*cA^2*nli*nlj*tri*trj + 1445/144*ep^-4*cA^3*nli*tri - 14725/1728*ep^-4*cA^4 + 1/3*ep^-4*xi*cA^2*nli*nlj*tri*trj - 59/16*ep^-4*xi*cA^3*nli*tri + 985/384*ep^-4*xi*cA^4 + 13/12*ep^-4*xi^2*cA^3*nli*tri - 5/192*ep^-4*xi^2*cA^4 - 1/6*ep^-4*xi^3*cA^3*nli*tri - 25/96*ep^-4*xi^3*cA^4 + 1/16*ep^-4*xi^4*cA^4 - 16/27*ep^-3*nli*nlj*nlk*cfi*tri*trj*trk + 154/27*ep^-3*cA*nli*nlj*cfj*tri*trj - 100/81*ep^-3*cA*nli*nlj*nlk*tri*trj*trk - 2555/216*ep^-3*cA^2*nli*cfi*tri + 725/54*ep^-3*cA^2*nli*nlj*tri*trj - 5893/144*ep^-3*cA^3*nli*tri + 82645/2592*ep^-3*cA^4 - 4/9*ep^-3*xi*cA*nli*nlj*cfj*tri*trj + 223/72*ep^-3*xi*cA^2*nli*cfi*tri - 71/54*ep^-3*xi*cA^2*nli*nlj*tri*trj + 4105/432*ep^-3*xi*cA^3*nli*tri - 15131/3456*ep^-3*xi*cA^4 - 1/2*ep^-3*xi^2*cA^2*nli*cfi*tri - 43/24*ep^-3*xi^2*cA^3*nli*tri - 227/128*ep^-3*xi^2*cA^4 + 7/36*ep^-3*xi^3*cA^3*nli*tri + 1079/1152*ep^-3*xi^3*cA^4 - 23/192*ep^-3*xi^4*cA^4 + 4/9*ep^-2*nli*nlj*cfj^2*tri*trj - 2*ep^-2*nli*nlj*cfi*cfj*tri*trj + 88/81*ep^-2*nli*nlj*nlk*cfi*tri*trj*trk - 65/36*ep^-2*cA*nli*cfi^2*tri - 1510/81*ep^-2*cA*nli*nlj*cfj*tri*trj + 82/81*ep^-2*cA*nli*nlj*nlk*tri*trj*trk + 14189/648*ep^-2*cA^2*nli*cfi*tri - 577/24*ep^-2*cA^2*nli*nlj*tri*trj + 136289/1728*ep^-2*cA^3*nli*tri - 1043621/20736*ep^-2*cA^4 + 8/3*ep^-2*z3*cA*nli*nlj*cfj*tri*trj + 35/3*ep^-2*z3*cA^2*nli*cfi*tri - 2*ep^-2*z3*cA^2*nli*nlj*tri*trj - 203/24*ep^-2*z3*cA^3*nli*tri + 55/96*ep^-2*z3*cA^4 + 1/3*ep^-2*xi*cA*nli*cfi^2*tri + 22/27*ep^-2*xi*cA*nli*nlj*cfj*tri*trj + 341/216*ep^-2*xi*cA^2*nli*cfi*tri + 235/108*ep^-2*xi*cA^2*nli*nlj*tri*trj - 16747/1728*ep^-2*xi*cA^3*nli*tri - 32845/13824*ep^-2*xi*cA^4 - 7*ep^-2*xi*z3*cA^2*nli*cfi*tri + 119/24*ep^-2*xi*z3*cA^3*nli*tri - 79/96*ep^-2*xi*z3*cA^4 + 1/4*ep^-2*xi^2*cA^2*nli*cfi*tri + 17/96*ep^-2*xi^2*cA^3*nli*tri + 1571/384*ep^-2*xi^2*cA^4 + 1/16*ep^-2*xi^2*z3*cA^3*nli*tri + 55/128*ep^-2*xi^2*z3*cA^4 - 7/72*ep^-2*xi^3*cA^3*nli*tri - 2267/2304*ep^-2*xi^3*cA^4 - 9/128*ep^-2*xi^3*z3*cA^4 + 11/96*ep^-2*xi^4*cA^4 + 128/9*ep^-1*NA^-1*nli*dFA4i - 176/9*ep^-1*NA^-1*nli*nlj*dFF4ij + 23/2*ep^-1*nli*cfi^3*tri - 76/27*ep^-1*nli*nlj*cfj^2*tri*trj + 46/3*ep^-1*nli*nlj*cfi*cfj*tri*trj + 308/243*ep^-1*nli*nlj*nlk*cfi*tri*trj*trk - 10847/216*ep^-1*cA*nli*cfi^2*tri + 7541/486*ep^-1*cA*nli*nlj*cfj*tri*trj + 355/243*ep^-1*cA*nli*nlj*nlk*tri*trj*trk + 363565/7776*ep^-1*cA^2*nli*cfi*tri + 41273/1944*ep^-1*cA^2*nli*nlj*tri*trj - 1404961/15552*ep^-1*cA^3*nli*tri + 252385/7776*ep^-1*cA^4 - 30*ep^-1*z5*NA^-1*nli*dFA4i + 60*ep^-1*z5*cA*nli*cfi^2*tri - 30*ep^-1*z5*cA^2*nli*cfi*tri - 55/2*ep^-1*z5*cA^3*nli*tri + 5125/192*ep^-1*z5*cA^4 - 12*ep^-1*z4*cA*nli*nlj*cfj*tri*trj + 63/2*ep^-1*z4*cA^2*nli*cfi*tri + 9*ep^-1*z4*cA^2*nli*nlj*tri*trj - 387/16*ep^-1*z4*cA^3*nli*tri + 111/64*ep^-1*z4*cA^4 - 344/3*ep^-1*z3*NA^-1*nli*dFA4i + 128/3*ep^-1*z3*NA^-1*nli*nlj*dFF4ij - 32/9*ep^-1*z3*nli*nlj*cfj^2*tri*trj - 16*ep^-1*z3*nli*nlj*cfi*cfj*tri*trj - 245/9*ep^-1*z3*cA*nli*cfi^2*tri + 292/9*ep^-1*z3*cA*nli*nlj*cfj*tri*trj - 16/9*ep^-1*z3*cA*nli*nlj*nlk*tri*trj*trk - 623/9*ep^-1*z3*cA^2*nli*cfi*tri - 85/9*ep^-1*z3*cA^2*nli*nlj*tri*trj + 1285/16*ep^-1*z3*cA^3*nli*tri - 1045/48*ep^-1*z3*cA^4 - 863/96*ep^-1*xi*cA^2*nli*cfi*tri - 1229/1944*ep^-1*xi*cA^2*nli*nlj*tri*trj - 35345/15552*ep^-1*xi*cA^3*nli*tri + 1539403/124416*ep^-1*xi*cA^4 - 55/16*ep^-1*xi*z5*cA^4 + 3/2*ep^-1*xi*z4*cA^2*nli*cfi*tri - 13/16*ep^-1*xi*z4*cA^3*nli*tri - 73/64*ep^-1*xi*z4*cA^4 + 7*ep^-1*xi*z3*cA^2*nli*cfi*tri + 2/3*ep^-1*xi*z3*cA^2*nli*nlj*tri*trj - 37/6*ep^-1*xi*z3*cA^3*nli*tri + 389/64*ep^-1*xi*z3*cA^4 + 43/128*ep^-1*xi^2*cA^3*nli*tri - 3823/1536*ep^-1*xi^2*cA^4 - 35/512*ep^-1*xi^2*z5*cA^4 - 1/32*ep^-1*xi^2*z4*cA^3*nli*tri + 49/256*ep^-1*xi^2*z4*cA^4 + 1/12*ep^-1*xi^2*z3*cA^3*nli*tri - 1267/1536*ep^-1*xi^2*z3*cA^4 + 1657/3072*ep^-1*xi^3*cA^4 + 325/3072*ep^-1*xi^3*z5*cA^4 - 3/256*ep^-1*xi^3*z4*cA^4 + 3/256*ep^-1*xi^3*z3*cA^4 - 15/256*ep^-1*xi^4*cA^4 - 115/6144*ep^-1*xi^4*z5*cA^4 + 37/3072*ep^-1*xi^4*z3*cA^4 - 131/144*dAA4*ep^-1*NA^-1 + 335/8*dAA4*ep^-1*z5*NA^-1 + 307/24*dAA4*ep^-1*z3*NA^-1 - 9/32*dAA4*ep^-1*xi*NA^-1 + 139/16*dAA4*ep^-1*xi*z3*NA^-1 + 3/64*dAA4*ep^-1*xi^2*NA^-1 - 165/64*dAA4*ep^-1*xi^2*z5*NA^-1 - 63/64*dAA4*ep^-1*xi^2*z3*NA^-1 + 65/128*dAA4*ep^-1*xi^3*z5*NA^-1 + 9/64*dAA4*ep^-1*xi^3*z3*NA^-1 - 5/256*dAA4*ep^-1*xi^4*z5*NA^-1 - 1/32*dAA4*ep^-1*xi^4*z3*NA^-1) + 1; Z3cc = +a*(+1/2*ep^-1*cA + 1/4*ep^-1*xi*cA) + a^2*(+1/2*ep^-2*cA*nli*tri - ep^-2*cA^2 - 3/16*ep^-2*xi*cA^2 + 3/32*ep^-2*xi^2*cA^2 - 5/12*ep^-1*cA*nli*tri + 49/48*ep^-1*cA^2 - 1/32*ep^-1*xi*cA^2) + a^3*(+4/9*ep^-3*cA*nli*nlj*tri*trj - 19/9*ep^-3*cA^2*nli*tri + 343/144*ep^-3*cA^3 + 1/24*ep^-3*xi*cA^2*nli*tri + 1/6*ep^-3*xi*cA^3 - 3/16*ep^-3*xi^2*cA^3 + 5/128*ep^-3*xi^3*cA^3 + ep^-2*cA*nli*cfi*tri - 10/27*ep^-2*cA*nli*nlj*tri*trj + 349/108*ep^-2*cA^2*nli*tri - 1873/432*ep^-2*cA^3 + 1/48*ep^-2*xi*cA^2*nli*tri - 61/192*ep^-2*xi*cA^3 + 21/128*ep^-2*xi^2*cA^3 - 1/48*ep^-2*xi^3*cA^3 - 15/4*ep^-1*cA*nli*cfi*tri - 35/81*ep^-1*cA*nli*nlj*tri*trj - 5/648*ep^-1*cA^2*nli*tri + 229/81*ep^-1*cA^3 + 4*ep^-1*z3*cA*nli*cfi*tri - 3*ep^-1*z3*cA^2*nli*tri + 1/4*ep^-1*z3*cA^3 - 7/24*ep^-1*xi*cA^2*nli*tri + 55/192*ep^-1*xi*cA^3 - 3/16*ep^-1*xi*z3*cA^3 - 5/64*ep^-1*xi^2*cA^3 + 1/32*ep^-1*xi^2*z3*cA^3 + 1/64*ep^-1*xi^3*cA^3) + a^4*(+4/9*ep^-4*cA*nli*nlj*nlk*tri*trj*trk - 235/72*ep^-4*cA^2*nli*nlj*tri*trj + 2293/288*ep^-4*cA^3*nli*tri - 7283/1152*ep^-4*cA^4 + 1/18*ep^-4*xi*cA^2*nli*nlj*tri*trj - 35/144*ep^-4*xi*cA^3*nli*tri - 193/2304*ep^-4*xi*cA^4 - 1/64*ep^-4*xi^2*cA^3*nli*tri + 187/512*ep^-4*xi^2*cA^4 - 65/512*ep^-4*xi^3*cA^4 + 35/2048*ep^-4*xi^4*cA^4 + 2*ep^-3*cA*nli*nlj*cfj*tri*trj - 10/27*ep^-3*cA*nli*nlj*nlk*tri*trj*trk - 77/16*ep^-3*cA^2*nli*cfi*tri + 1247/216*ep^-3*cA^2*nli*nlj*tri*trj - 1019/54*ep^-3*cA^3*nli*tri + 9757/576*ep^-3*cA^4 + 1/16*ep^-3*xi*cA^2*nli*cfi*tri - 1/108*ep^-3*xi*cA^2*nli*nlj*tri*trj - 2/27*ep^-3*xi*cA^3*nli*tri + 2989/3456*ep^-3*xi*cA^4 + 37/384*ep^-3*xi^2*cA^3*nli*tri - 589/768*ep^-3*xi^2*cA^4 + 607/3072*ep^-3*xi^3*cA^4 - 1/48*ep^-3*xi^4*cA^4 - 3/8*ep^-2*cA*nli*cfi^2*tri - 11/2*ep^-2*cA*nli*nlj*cfj*tri*trj - 35/81*ep^-2*cA*nli*nlj*nlk*tri*trj*trk + 213/16*ep^-2*cA^2*nli*cfi*tri - 4391/2592*ep^-2*cA^2*nli*nlj*tri*trj + 186107/10368*ep^-2*cA^3*nli*tri - 69365/3456*ep^-2*cA^4 + 4*ep^-2*z3*cA*nli*nlj*cfj*tri*trj - 15/2*ep^-2*z3*cA^2*nli*cfi*tri - 3*ep^-2*z3*cA^2*nli*nlj*tri*trj + 93/16*ep^-2*z3*cA^3*nli*tri - 25/64*ep^-2*z3*cA^4 + 7/16*ep^-2*xi*cA^2*nli*cfi*tri - 91/648*ep^-2*xi*cA^2*nli*nlj*tri*trj + 5279/5184*ep^-2*xi*cA^3*nli*tri - 142559/82944*ep^-2*xi*cA^4 - 1/2*ep^-2*xi*z3*cA^2*nli*cfi*tri + 13/48*ep^-2*xi*z3*cA^3*nli*tri + 23/96*ep^-2*xi*z3*cA^4 - 47/192*ep^-2*xi^2*cA^3*nli*tri + 4937/6144*ep^-2*xi^2*cA^4 + 1/96*ep^-2*xi^2*z3*cA^3*nli*tri - 31/768*ep^-2*xi^2*z3*cA^4 - 91/512*ep^-2*xi^3*cA^4 + 1/256*ep^-2*xi^3*z3*cA^4 + 3/128*ep^-2*xi^4*cA^4 + 271/48*ep^-1*cA*nli*cfi^2*tri + 115/108*ep^-1*cA*nli*nlj*cfj*tri*trj - 83/162*ep^-1*cA*nli*nlj*nlk*tri*trj*trk - 22517/1728*ep^-1*cA^2*nli*cfi*tri + 8315/3888*ep^-1*cA^2*nli*nlj*tri*trj - 449239/31104*ep^-1*cA^3*nli*tri + 256337/15552*ep^-1*cA^4 + 15*ep^-1*z5*NA^-1*nli*dFA4i - 30*ep^-1*z5*cA*nli*cfi^2*tri + 15*ep^-1*z5*cA^2*nli*cfi*tri + 55/4*ep^-1*z5*cA^3*nli*tri - 4505/384*ep^-1*z5*cA^4 + 6*ep^-1*z4*cA*nli*nlj*cfj*tri*trj - 69/4*ep^-1*z4*cA^2*nli*cfi*tri - 9/2*ep^-1*z4*cA^2*nli*nlj*tri*trj + 423/32*ep^-1*z4*cA^3*nli*tri - 123/128*ep^-1*z4*cA^4 - 12*ep^-1*z3*NA^-1*nli*dFA4i + 37/2*ep^-1*z3*cA*nli*cfi^2*tri - 10*ep^-1*z3*cA*nli*nlj*cfj*tri*trj + 8/9*ep^-1*z3*cA*nli*nlj*nlk*tri*trj*trk + 43/2*ep^-1*z3*cA^2*nli*cfi*tri + 43/6*ep^-1*z3*cA^2*nli*nlj*tri*trj - 2983/96*ep^-1*z3*cA^3*nli*tri + 2485/288*ep^-1*z3*cA^4 - 425/192*ep^-1*xi*cA^2*nli*cfi*tri - 779/3888*ep^-1*xi*cA^2*nli*nlj*tri*trj + 2527/31104*ep^-1*xi*cA^3*nli*tri + 256273/248832*ep^-1*xi*cA^4 - 25/192*ep^-1*xi*z5*cA^4 + 3/4*ep^-1*xi*z4*cA^2*nli*cfi*tri - 23/32*ep^-1*xi*z4*cA^3*nli*tri + 47/64*ep^-1*xi*z4*cA^4 + 1/2*ep^-1*xi*z3*cA^2*nli*cfi*tri + 1/3*ep^-1*xi*z3*cA^2*nli*nlj*tri*trj - 7/16*ep^-1*xi*z3*cA^3*nli*tri - 199/192*ep^-1*xi*z3*cA^4 + 217/2304*ep^-1*xi^2*cA^3*nli*tri - 2063/9216*ep^-1*xi^2*cA^4 + 305/1024*ep^-1*xi^2*z5*cA^4 + 1/64*ep^-1*xi^2*z4*cA^3*nli*tri - 91/512*ep^-1*xi^2*z4*cA^4 + 1/16*ep^-1*xi^2*z3*cA^3*nli*tri - 9/1024*ep^-1*xi^2*z3*cA^4 + 347/6144*ep^-1*xi^3*cA^4 - 155/2048*ep^-1*xi^3*z5*cA^4 + 9/512*ep^-1*xi^3*z4*cA^4 + 91/1536*ep^-1*xi^3*z3*cA^4 - 1/128*ep^-1*xi^4*cA^4 + 35/12288*ep^-1*xi^4*z5*cA^4 - 41/6144*ep^-1*xi^4*z3*cA^4 - 21/32*dAA4*ep^-1*NA^-1 - 265/16*dAA4*ep^-1*z5*NA^-1 + 299/16*dAA4*ep^-1*z3*NA^-1 + 9/64*dAA4*ep^-1*xi*NA^-1 - 85/16*dAA4*ep^-1*xi*z5*NA^-1 + 27/32*dAA4*ep^-1*xi*z3*NA^-1 - 3/128*dAA4*ep^-1*xi^2*NA^-1 + 315/128*dAA4*ep^-1*xi^2*z5*NA^-1 - 63/128*dAA4*ep^-1*xi^2*z3*NA^-1 - 105/256*dAA4*ep^-1*xi^3*z5*NA^-1 - 17/128*dAA4*ep^-1*xi^3*z3*NA^-1 - 35/512*dAA4*ep^-1*xi^4*z5*NA^-1 + 1/8*dAA4*ep^-1*xi^4*z3*NA^-1) + 1; Zqq = +a*(-ep^-1*cR1 + ep^-1*xi*cR1) + a^2*(+1/2*ep^-2*cR1^2 + ep^-2*cA*cR1 - ep^-2*xi*cR1^2 - 5/4*ep^-2*xi*cA*cR1 + 1/2*ep^-2*xi^2*cR1^2 + 1/4*ep^-2*xi^2*cA*cR1 + 3/4*ep^-1*cR1^2 + ep^-1*nli*tri*cR1 - 17/4*ep^-1*cA*cR1 + 5/4*ep^-1*xi*cA*cR1 - 1/8*ep^-1*xi^2*cA*cR1) + a^3*(-1/6*ep^-3*cR1^3 - ep^-3*cA*cR1^2 + 1/3*ep^-3*cA*nli*tri*cR1 - 7/4*ep^-3*cA^2*cR1 + 1/2*ep^-3*xi*cR1^3 + 9/4*ep^-3*xi*cA*cR1^2 - 1/3*ep^-3*xi*cA*nli*tri*cR1 + 55/24*ep^-3*xi*cA^2*cR1 - 1/2*ep^-3*xi^2*cR1^3 - 3/2*ep^-3*xi^2*cA*cR1^2 - 5/8*ep^-3*xi^2*cA^2*cR1 + 1/6*ep^-3*xi^3*cR1^3 + 1/4*ep^-3*xi^3*cA*cR1^2 + 1/12*ep^-3*xi^3*cA^2*cR1 - 3/4*ep^-2*cR1^3 - 1/3*ep^-2*nli*tri*cR1^2 + 8/9*ep^-2*nli*nlj*tri*trj*cR1 + 29/12*ep^-2*cA*cR1^2 - 56/9*ep^-2*cA*nli*tri*cR1 + 104/9*ep^-2*cA^2*cR1 + 3/4*ep^-2*xi*cR1^3 + ep^-2*xi*nli*tri*cR1^2 - 11/2*ep^-2*xi*cA*cR1^2 + ep^-2*xi*cA*nli*tri*cR1 - 59/12*ep^-2*xi*cA^2*cR1 + 11/8*ep^-2*xi^2*cA*cR1^2 + 9/8*ep^-2*xi^2*cA^2*cR1 - 1/8*ep^-2*xi^3*cA*cR1^2 - 1/8*ep^-2*xi^3*cA^2*cR1 - 1/2*ep^-1*cR1^3 - 3*ep^-1*nli*tri*cR1^2 + 2*ep^-1*nli*cfi*tri*cR1 - 20/27*ep^-1*nli*nlj*tri*trj*cR1 + 143/12*ep^-1*cA*cR1^2 + 1301/108*ep^-1*cA*nli*tri*cR1 - 10559/432*ep^-1*cA^2*cR1 - 4*ep^-1*z3*cA*cR1^2 + 5/2*ep^-1*z3*cA^2*cR1 - 17/12*ep^-1*xi*cA*nli*tri*cR1 + 371/96*ep^-1*xi*cA^2*cR1 + 1/2*ep^-1*xi*z3*cA^2*cR1 - 23/32*ep^-1*xi^2*cA^2*cR1 - 1/8*ep^-1*xi^2*z3*cA^2*cR1 + 5/48*ep^-1*xi^3*cA^2*cR1) + a^4*(+1/24*ep^-4*cR1^4 + 1/2*ep^-4*cA*cR1^3 - 1/3*ep^-4*cA*nli*tri*cR1^2 + 2/9*ep^-4*cA*nli*nlj*tri*trj*cR1 + 9/4*ep^-4*cA^2*cR1^2 - 127/72*ep^-4*cA^2*nli*tri*cR1 + 1111/288*ep^-4*cA^3*cR1 - 1/6*ep^-4*xi*cR1^4 - 13/8*ep^-4*xi*cA*cR1^3 + 2/3*ep^-4*xi*cA*nli*tri*cR1^2 - 2/9*ep^-4*xi*cA*nli*nlj*tri*trj*cR1 - 127/24*ep^-4*xi*cA^2*cR1^2 + 139/72*ep^-4*xi*cA^2*nli*tri*cR1 - 2945/576*ep^-4*xi*cA^3*cR1 + 1/4*ep^-4*xi^2*cR1^4 + 15/8*ep^-4*xi^2*cA*cR1^3 - 1/3*ep^-4*xi^2*cA*nli*tri*cR1^2 + 379/96*ep^-4*xi^2*cA^2*cR1^2 - 1/6*ep^-4*xi^2*cA^2*nli*tri*cR1 + 295/192*ep^-4*xi^2*cA^3*cR1 - 1/6*ep^-4*xi^3*cR1^4 - 7/8*ep^-4*xi^3*cA*cR1^3 - 49/48*ep^-4*xi^3*cA^2*cR1^2 - 5/16*ep^-4*xi^3*cA^3*cR1 + 1/24*ep^-4*xi^4*cR1^4 + 1/8*ep^-4*xi^4*cA*cR1^3 + 11/96*ep^-4*xi^4*cA^2*cR1^2 + 1/32*ep^-4*xi^4*cA^3*cR1 + 3/8*ep^-3*cR1^4 - 1/6*ep^-3*nli*tri*cR1^3 - 2/9*ep^-3*nli*nlj*tri*trj*cR1^2 + 8/9*ep^-3*nli*nlj*nlk*tri*trj*trk*cR1 + 11/24*ep^-3*cA*cR1^3 + 32/9*ep^-3*cA*nli*tri*cR1^2 + 3/4*ep^-3*cA*nli*cfi*tri*cR1 - 25/3*ep^-3*cA*nli*nlj*tri*trj*cR1 - 775/72*ep^-3*cA^2*cR1^2 + 4087/144*ep^-3*cA^2*nli*tri*cR1 - 6451/192*ep^-3*cA^3*cR1 - 3/4*ep^-3*xi*cR1^4 - 1/3*ep^-3*xi*nli*tri*cR1^3 + 8/9*ep^-3*xi*nli*nlj*tri*trj*cR1^2 + 101/48*ep^-3*xi*cA*cR1^3 - 305/36*ep^-3*xi*cA*nli*tri*cR1^2 - 3/4*ep^-3*xi*cA*nli*cfi*tri*cR1 + 2/3*ep^-3*xi*cA*nli*nlj*tri*trj*cR1 + 3317/144*ep^-3*xi*cA^2*cR1^2 - 1003/144*ep^-3*xi*cA^2*nli*tri*cR1 + 18781/1152*ep^-3*xi*cA^3*cR1 + 3/8*ep^-3*xi^2*cR1^4 + 1/2*ep^-3*xi^2*nli*tri*cR1^3 - 13/4*ep^-3*xi^2*cA*cR1^3 + 5/4*ep^-3*xi^2*cA*nli*tri*cR1^2 - 211/24*ep^-3*xi^2*cA^2*cR1^2 + 7/12*ep^-3*xi^2*cA^2*nli*tri*cR1 - 575/128*ep^-3*xi^2*cA^3*cR1 + 3/4*ep^-3*xi^3*cA*cR1^3 + 55/32*ep^-3*xi^3*cA^2*cR1^2 + 55/64*ep^-3*xi^3*cA^3*cR1 - 1/16*ep^-3*xi^4*cA*cR1^3 - 5/32*ep^-3*xi^4*cA^2*cR1^2 - 5/64*ep^-3*xi^4*cA^3*cR1 + 25/32*ep^-2*cR1^4 + 13/4*ep^-2*nli*tri*cR1^3 - 1/2*ep^-2*nli*cfi*tri*cR1^2 - 95/54*ep^-2*nli*nlj*tri*trj*cR1^2 + 4*ep^-2*nli*nlj*cfj*tri*trj*cR1 - 20/27*ep^-2*nli*nlj*nlk*tri*trj*trk*cR1 - 659/48*ep^-2*cA*cR1^3 + 172/27*ep^-2*cA*nli*tri*cR1^2 - 147/8*ep^-2*cA*nli*cfi*tri*cR1 + 440/27*ep^-2*cA*nli*nlj*tri*trj*cR1 - 3065/864*ep^-2*cA^2*cR1^2 - 64723/864*ep^-2*cA^2*nli*tri*cR1 + 12043/128*ep^-2*cA^3*cR1 + 4*ep^-2*z3*cA*cR1^3 - 4*ep^-2*z3*cA*nli*tri*cR1^2 + 6*ep^-2*z3*cA*nli*cfi*tri*cR1 + 17/2*ep^-2*z3*cA^2*cR1^2 - 11/6*ep^-2*z3*cA^2*nli*tri*cR1 - 161/24*ep^-2*z3*cA^3*cR1 - 1/2*ep^-2*xi*cR1^4 - 3*ep^-2*xi*nli*tri*cR1^3 + 2*ep^-2*xi*nli*cfi*tri*cR1^2 - 20/27*ep^-2*xi*nli*nlj*tri*trj*cR1^2 + 617/48*ep^-2*xi*cA*cR1^3 + 1589/108*ep^-2*xi*cA*nli*tri*cR1^2 + 53/8*ep^-2*xi*cA*nli*cfi*tri*cR1 - 8/27*ep^-2*xi*cA*nli*nlj*tri*trj*cR1 - 29047/864*ep^-2*xi*cA^2*cR1^2 + 8053/864*ep^-2*xi*cA^2*nli*tri*cR1 - 156161/6912*ep^-2*xi*cA^3*cR1 - 4*ep^-2*xi*z3*cA*cR1^3 - 6*ep^-2*xi*z3*cA*nli*cfi*tri*cR1 + 2*ep^-2*xi*z3*cA^2*cR1^2 + 19/4*ep^-2*xi*z3*cA^2*nli*tri*cR1 - 57/32*ep^-2*xi*z3*cA^3*cR1 - 3/32*ep^-2*xi^2*cA*cR1^3 - 37/24*ep^-2*xi^2*cA*nli*tri*cR1^2 + 283/48*ep^-2*xi^2*cA^2*cR1^2 - 11/12*ep^-2*xi^2*cA^2*nli*tri*cR1 + 4183/768*ep^-2*xi^2*cA^3*cR1 + 5/8*ep^-2*xi^2*z3*cA^2*cR1^2 - 1/24*ep^-2*xi^2*z3*cA^2*nli*tri*cR1 + 127/192*ep^-2*xi^2*z3*cA^3*cR1 - 47/48*ep^-2*xi^3*cA^2*cR1^2 - 17/16*ep^-2*xi^3*cA^3*cR1 - 1/8*ep^-2*xi^3*z3*cA^2*cR1^2 - 5/64*ep^-2*xi^3*z3*cA^3*cR1 + 43/384*ep^-2*xi^4*cA^2*cR1^2 + 7/64*ep^-2*xi^4*cA^3*cR1 + 1027/32*ep^-1*cR1^4 + 33/2*ep^-1*dFA4R1*NR1^-1 - 32*ep^-1*nli*dFF4iR1*NR1^-1 + 119/12*ep^-1*nli*tri*cR1^3 - 31/2*ep^-1*nli*cfi*tri*cR1^2 - 3/4*ep^-1*nli*cfi^2*tri*cR1 + 23/9*ep^-1*nli*nlj*tri*trj*cR1^2 - 11*ep^-1*nli*nlj*cfj*tri*trj*cR1 - 70/81*ep^-1*nli*nlj*nlk*tri*trj*trk*cR1 - 5131/48*ep^-1*cA*cR1^3 - 1607/36*ep^-1*cA*nli*tri*cR1^2 + 2945/48*ep^-1*cA*nli*cfi*tri*cR1 - 6835/972*ep^-1*cA*nli*nlj*tri*trj*cR1 + 23777/144*ep^-1*cA^2*cR1^2 + 1365691/15552*ep^-1*cA^2*nli*tri*cR1 - 10059589/62208*ep^-1*cA^3*cR1 - 160*ep^-1*z5*cR1^4 + 85/2*ep^-1*z5*dFA4R1*NR1^-1 + 360*ep^-1*z5*cA*cR1^3 - 40*ep^-1*z5*cA*nli*tri*cR1^2 - 395/2*ep^-1*z5*cA^2*cR1^2 + 20*ep^-1*z5*cA^2*nli*tri*cR1 + 1865/48*ep^-1*z5*cA^3*cR1 - 6*ep^-1*z4*cA*nli*tri*cR1^2 - 3*ep^-1*z4*cA*nli*cfi*tri*cR1 + 33/2*ep^-1*z4*cA^2*cR1^2 + 25/4*ep^-1*z4*cA^2*nli*tri*cR1 - 173/16*ep^-1*z4*cA^3*cR1 + 100*ep^-1*z3*cR1^4 - 95/2*ep^-1*z3*dFA4R1*NR1^-1 + 4*ep^-1*z3*nli*tri*cR1^3 + 12*ep^-1*z3*nli*cfi*tri*cR1^2 + 8*ep^-1*z3*nli*nlj*cfj*tri*trj*cR1 - 212*ep^-1*z3*cA*cR1^3 + 28*ep^-1*z3*cA*nli*tri*cR1^2 - 39*ep^-1*z3*cA*nli*cfi*tri*cR1 - 28/3*ep^-1*z3*cA*nli*nlj*tri*trj*cR1 + 107/2*ep^-1*z3*cA^2*cR1^2 + 119/12*ep^-1*z3*cA^2*nli*tri*cR1 + 1489/96*ep^-1*z3*cA^3*cR1 + 1/4*ep^-1*xi*dFA4R1*NR1^-1 - 767/48*ep^-1*xi*cA*nli*cfi*tri*cR1 - 269/243*ep^-1*xi*cA*nli*nlj*tri*trj*cR1 + 3/4*ep^-1*xi*cA^2*cR1^2 - 48865/15552*ep^-1*xi*cA^2*nli*tri*cR1 + 2127929/124416*ep^-1*xi*cA^3*cR1 - 35/2*ep^-1*xi*z5*dFA4R1*NR1^-1 + 5/4*ep^-1*xi*z5*cA^2*cR1^2 - 665/96*ep^-1*xi*z5*cA^3*cR1 + 3*ep^-1*xi*z4*cA*nli*cfi*tri*cR1 - 15/8*ep^-1*xi*z4*cA^2*nli*tri*cR1 - 87/64*ep^-1*xi*z4*cA^3*cR1 + 12*ep^-1*xi*z3*dFA4R1*NR1^-1 + 11*ep^-1*xi*z3*cA*nli*cfi*tri*cR1 + 4/3*ep^-1*xi*z3*cA*nli*nlj*tri*trj*cR1 - 7/8*ep^-1*xi*z3*cA^2*cR1^2 - 59/6*ep^-1*xi*z3*cA^2*nli*tri*cR1 + 1013/96*ep^-1*xi*z3*cA^3*cR1 + 109/288*ep^-1*xi^2*cA^2*nli*tri*cR1 - 13883/4608*ep^-1*xi^2*cA^3*cR1 + 5/4*ep^-1*xi^2*z5*dFA4R1*NR1^-1 + 5/12*ep^-1*xi^2*z5*cA^3*cR1 - 1/16*ep^-1*xi^2*z4*cA^2*nli*tri*cR1 + 43/128*ep^-1*xi^2*z4*cA^3*cR1 + 7/4*ep^-1*xi^2*z3*dFA4R1*NR1^-1 + 7/24*ep^-1*xi^2*z3*cA^2*nli*tri*cR1 - 253/128*ep^-1*xi^2*z3*cA^3*cR1 + 263/384*ep^-1*xi^3*cA^3*cR1 + 5/8*ep^-1*xi^3*z5*dFA4R1*NR1^-1 + 5/96*ep^-1*xi^3*z5*cA^3*cR1 - 3/128*ep^-1*xi^3*z4*cA^3*cR1 - 5/4*ep^-1*xi^3*z3*dFA4R1*NR1^-1 + 65/384*ep^-1*xi^3*z3*cA^3*cR1 - 19/256*ep^-1*xi^4*cA^3*cR1 - 5/32*ep^-1*xi^4*z5*dFA4R1*NR1^-1 - 5/384*ep^-1*xi^4*z5*cA^3*cR1 + 7/32*ep^-1*xi^4*z3*dFA4R1*NR1^-1 - 1/768*ep^-1*xi^4*z3*cA^3*cR1) + 1; (* renormalization constants for gauge boson-ghost-ghost and gauge boson-fermion-fermion vertexes (the external fermion line is transformed according to the fermion representation R1) *) Z1ccg = +a*(-1/2*ep^-1*cA + 1/2*ep^-1*xi*cA) + a^2*(+5/8*ep^-2*cA^2 - 7/8*ep^-2*xi*cA^2 + 1/4*ep^-2*xi^2*cA^2 - 3/8*ep^-1*cA^2 + 7/16*ep^-1*xi*cA^2 - 1/16*ep^-1*xi^2*cA^2) + a^3*(+1/6*ep^-3*cA^2*nli*tri - 55/48*ep^-3*cA^3 - 1/6*ep^-3*xi*cA^2*nli*tri + 85/48*ep^-3*xi*cA^3 - 3/4*ep^-3*xi^2*cA^3 + 1/8*ep^-3*xi^3*cA^3 - 5/12*ep^-2*cA^2*nli*tri + 43/24*ep^-2*cA^3 + 5/12*ep^-2*xi*cA^2*nli*tri - 119/48*ep^-2*xi*cA^3 + 25/32*ep^-2*xi^2*cA^3 - 3/32*ep^-2*xi^3*cA^3 + 5/8*ep^-1*cA^2*nli*tri - 125/96*ep^-1*cA^3 - 5/8*ep^-1*xi*cA^2*nli*tri + 103/64*ep^-1*xi*cA^3 - 23/64*ep^-1*xi^2*cA^3 + 5/96*ep^-1*xi^3*cA^3) + a^4*(+1/9*ep^-4*cA^2*nli*nlj*tri*trj - 139/144*ep^-4*cA^3*nli*tri + 2945/1152*ep^-4*cA^4 - 1/9*ep^-4*xi*cA^2*nli*nlj*tri*trj + 163/144*ep^-4*xi*cA^3*nli*tri - 4715/1152*ep^-4*xi*cA^4 - 1/6*ep^-4*xi^2*cA^3*nli*tri + 385/192*ep^-4*xi^2*cA^4 - 17/32*ep^-4*xi^3*cA^4 + 1/16*ep^-4*xi^4*cA^4 + 3/8*ep^-3*cA^2*nli*cfi*tri - 5/18*ep^-3*cA^2*nli*nlj*tri*trj + 143/48*ep^-3*cA^3*nli*tri - 3755/576*ep^-3*cA^4 - 3/8*ep^-3*xi*cA^2*nli*cfi*tri + 5/18*ep^-3*xi*cA^2*nli*nlj*tri*trj - 83/24*ep^-3*xi*cA^3*nli*tri + 2785/288*ep^-3*xi*cA^4 + 23/48*ep^-3*xi^2*cA^3*nli*tri - 379/96*ep^-3*xi^2*cA^4 + 113/128*ep^-3*xi^3*cA^4 - 11/128*ep^-3*xi^4*cA^4 - 25/8*ep^-2*cA^2*nli*cfi*tri + 5/54*ep^-2*cA^2*nli*nlj*tri*trj - 3209/864*ep^-2*cA^3*nli*tri + 3553/432*ep^-2*cA^4 + 3*ep^-2*z3*cA^2*nli*cfi*tri - 9/4*ep^-2*z3*cA^3*nli*tri + 3/16*ep^-2*z3*cA^4 + 25/8*ep^-2*xi*cA^2*nli*cfi*tri - 5/54*ep^-2*xi*cA^2*nli*nlj*tri*trj + 1933/432*ep^-2*xi*cA^3*nli*tri - 77701/6912*ep^-2*xi*cA^4 - 3*ep^-2*xi*z3*cA^2*nli*cfi*tri + 9/4*ep^-2*xi*z3*cA^3*nli*tri - 21/64*ep^-2*xi*z3*cA^4 - 73/96*ep^-2*xi^2*cA^3*nli*tri + 5663/1536*ep^-2*xi^2*cA^4 + 21/128*ep^-2*xi^2*z3*cA^4 - 289/384*ep^-2*xi^3*cA^4 - 3/128*ep^-2*xi^3*z3*cA^4 + 127/1536*ep^-2*xi^4*cA^4 + 161/24*ep^-1*cA^2*nli*cfi*tri + 251/486*ep^-1*cA^2*nli*nlj*tri*trj + 3083/3888*ep^-1*cA^3*nli*tri - 46945/7776*ep^-1*cA^4 + 155/96*ep^-1*z5*cA^4 - 3/2*ep^-1*z4*cA^2*nli*cfi*tri + 9/8*ep^-1*z4*cA^3*nli*tri - 3/32*ep^-1*z4*cA^4 - 4*ep^-1*z3*cA^2*nli*cfi*tri - 2/3*ep^-1*z3*cA^2*nli*nlj*tri*trj + 41/12*ep^-1*z3*cA^3*nli*tri - 79/48*ep^-1*z3*cA^4 - 161/24*ep^-1*xi*cA^2*nli*cfi*tri - 251/486*ep^-1*xi*cA^2*nli*nlj*tri*trj - 16409/15552*ep^-1*xi*cA^3*nli*tri + 448919/62208*ep^-1*xi*cA^4 - 355/192*ep^-1*xi*z5*cA^4 + 3/2*ep^-1*xi*z4*cA^2*nli*cfi*tri - 9/8*ep^-1*xi*z4*cA^3*nli*tri + 21/128*ep^-1*xi*z4*cA^4 + 4*ep^-1*xi*z3*cA^2*nli*cfi*tri + 2/3*ep^-1*xi*z3*cA^2*nli*nlj*tri*trj - 169/48*ep^-1*xi*z3*cA^3*nli*tri + 769/384*ep^-1*xi*z3*cA^4 + 151/576*ep^-1*xi^2*cA^3*nli*tri - 3383/2304*ep^-1*xi^2*cA^4 + 135/512*ep^-1*xi^2*z5*cA^4 - 21/256*ep^-1*xi^2*z4*cA^4 + 5/48*ep^-1*xi^2*z3*cA^3*nli*tri - 647/1536*ep^-1*xi^2*z3*cA^4 + 167/512*ep^-1*xi^3*cA^4 - 35/1536*ep^-1*xi^3*z5*cA^4 + 3/256*ep^-1*xi^3*z4*cA^4 + 25/384*ep^-1*xi^3*z3*cA^4 - 19/512*ep^-1*xi^4*cA^4 - 5/768*ep^-1*xi^4*z5*cA^4 - 1/1536*ep^-1*xi^4*z3*cA^4 + 35/8*dAA4*ep^-1*z5*NA^-1 - 17/4*dAA4*ep^-1*z3*NA^-1 - 85/16*dAA4*ep^-1*xi*z5*NA^-1 + 83/16*dAA4*ep^-1*xi*z3*NA^-1 + 75/64*dAA4*ep^-1*xi^2*z5*NA^-1 - 63/64*dAA4*ep^-1*xi^2*z3*NA^-1 - 5/32*dAA4*ep^-1*xi^3*z5*NA^-1 - 1/16*dAA4*ep^-1*xi^3*z3*NA^-1 - 5/64*dAA4*ep^-1*xi^4*z5*NA^-1 + 7/64*dAA4*ep^-1*xi^4*z3*NA^-1) + 1; Z1qqg = +a*(-ep^-1*cR1 - ep^-1*cA + ep^-1*xi*cR1 + 1/4*ep^-1*xi*cA) + a^2*(+1/2*ep^-2*cR1^2 + 2*ep^-2*cA*cR1 - 1/2*ep^-2*cA*nli*tri + 17/8*ep^-2*cA^2 - ep^-2*xi*cR1^2 - 5/2*ep^-2*xi*cA*cR1 - 9/16*ep^-2*xi*cA^2 + 1/2*ep^-2*xi^2*cR1^2 + 1/2*ep^-2*xi^2*cA*cR1 + 3/32*ep^-2*xi^2*cA^2 + 3/4*ep^-1*cR1^2 + ep^-1*nli*tri*cR1 - 17/4*ep^-1*cA*cR1 + 5/12*ep^-1*cA*nli*tri - 67/48*ep^-1*cA^2 + 5/4*ep^-1*xi*cA*cR1 + 15/32*ep^-1*xi*cA^2 - 1/8*ep^-1*xi^2*cA*cR1 - 1/16*ep^-1*xi^2*cA^2) + a^3*(-1/6*ep^-3*cR1^3 - 3/2*ep^-3*cA*cR1^2 + 5/6*ep^-3*cA*nli*tri*cR1 - 4/9*ep^-3*cA*nli*nlj*tri*trj - 39/8*ep^-3*cA^2*cR1 + 109/36*ep^-3*cA^2*nli*tri - 805/144*ep^-3*cA^3 + 1/2*ep^-3*xi*cR1^3 + 27/8*ep^-3*xi*cA*cR1^2 - 5/6*ep^-3*xi*cA*nli*tri*cR1 + 311/48*ep^-3*xi*cA^2*cR1 - 5/24*ep^-3*xi*cA^2*nli*tri + 17/12*ep^-3*xi*cA^3 - 1/2*ep^-3*xi^2*cR1^3 - 9/4*ep^-3*xi^2*cA*cR1^2 - 59/32*ep^-3*xi^2*cA^2*cR1 - 21/64*ep^-3*xi^2*cA^3 + 1/6*ep^-3*xi^3*cR1^3 + 3/8*ep^-3*xi^3*cA*cR1^2 + 23/96*ep^-3*xi^3*cA^2*cR1 + 5/128*ep^-3*xi^3*cA^3 - 3/4*ep^-2*cR1^3 - 1/3*ep^-2*nli*tri*cR1^2 + 8/9*ep^-2*nli*nlj*tri*trj*cR1 + 5/3*ep^-2*cA*cR1^2 - 275/36*ep^-2*cA*nli*tri*cR1 - ep^-2*cA*nli*cfi*tri + 10/27*ep^-2*cA*nli*nlj*tri*trj + 2477/144*ep^-2*cA^2*cR1 - 923/216*ep^-2*cA^2*nli*tri + 6779/864*ep^-2*cA^3 + 3/4*ep^-2*xi*cR1^3 + ep^-2*xi*nli*tri*cR1^2 - 85/16*ep^-2*xi*cA*cR1^2 + 5/3*ep^-2*xi*cA*nli*tri*cR1 - 291/32*ep^-2*xi*cA^2*cR1 + 19/48*ep^-2*xi*cA^2*nli*tri - 7/3*ep^-2*xi*cA^3 + 11/8*ep^-2*xi^2*cA*cR1^2 + 67/32*ep^-2*xi^2*cA^2*cR1 + 69/128*ep^-2*xi^2*cA^3 - 1/8*ep^-2*xi^3*cA*cR1^2 - 7/32*ep^-2*xi^3*cA^2*cR1 - 11/192*ep^-2*xi^3*cA^3 - 1/2*ep^-1*cR1^3 - 3*ep^-1*nli*tri*cR1^2 + 2*ep^-1*nli*cfi*tri*cR1 - 20/27*ep^-1*nli*nlj*tri*trj*cR1 + 143/12*ep^-1*cA*cR1^2 + 1301/108*ep^-1*cA*nli*tri*cR1 + 15/4*ep^-1*cA*nli*cfi*tri + 35/81*ep^-1*cA*nli*nlj*tri*trj - 10559/432*ep^-1*cA^2*cR1 + 205/324*ep^-1*cA^2*nli*tri - 10703/2592*ep^-1*cA^3 - 4*ep^-1*z3*cA*cR1^2 - 4*ep^-1*z3*cA*nli*cfi*tri + 5/2*ep^-1*z3*cA^2*cR1 + 3*ep^-1*z3*cA^2*nli*tri - 1/4*ep^-1*z3*cA^3 - 17/12*ep^-1*xi*cA*nli*tri*cR1 + 371/96*ep^-1*xi*cA^2*cR1 - 1/3*ep^-1*xi*cA^2*nli*tri + 127/96*ep^-1*xi*cA^3 + 1/2*ep^-1*xi*z3*cA^2*cR1 + 3/16*ep^-1*xi*z3*cA^3 - 23/32*ep^-1*xi^2*cA^2*cR1 - 9/32*ep^-1*xi^2*cA^3 - 1/8*ep^-1*xi^2*z3*cA^2*cR1 - 1/32*ep^-1*xi^2*z3*cA^3 + 5/48*ep^-1*xi^3*cA^2*cR1 + 7/192*ep^-1*xi^3*cA^3) + a^4*(+1/24*ep^-4*cR1^4 + 2/3*ep^-4*cA*cR1^3 - 7/12*ep^-4*cA*nli*tri*cR1^2 + 2/3*ep^-4*cA*nli*nlj*tri*trj*cR1 - 4/9*ep^-4*cA*nli*nlj*nlk*tri*trj*trk + 69/16*ep^-4*cA^2*cR1^2 - 45/8*ep^-4*cA^2*nli*tri*cR1 + 103/24*ep^-4*cA^2*nli*nlj*tri*trj + 1279/96*ep^-4*cA^3*cR1 - 1355/96*ep^-4*cA^3*nli*tri + 1165/72*ep^-4*cA^4 - 1/6*ep^-4*xi*cR1^4 - 13/6*ep^-4*xi*cA*cR1^3 + 7/6*ep^-4*xi*cA*nli*tri*cR1^2 - 2/3*ep^-4*xi*cA*nli*nlj*tri*trj*cR1 - 979/96*ep^-4*xi*cA^2*cR1^2 + 149/24*ep^-4*xi*cA^2*nli*tri*cR1 - 1/6*ep^-4*xi*cA^2*nli*nlj*tri*trj - 3469/192*ep^-4*xi*cA^3*cR1 + 71/48*ep^-4*xi*cA^3*nli*tri - 3005/768*ep^-4*xi*cA^4 + 1/4*ep^-4*xi^2*cR1^4 + 5/2*ep^-4*xi^2*cA*cR1^3 - 7/12*ep^-4*xi^2*cA*nli*tri*cR1^2 + 1475/192*ep^-4*xi^2*cA^2*cR1^2 - 7/12*ep^-4*xi^2*cA^2*nli*tri*cR1 + 1115/192*ep^-4*xi^2*cA^3*cR1 - 7/64*ep^-4*xi^2*cA^3*nli*tri + 517/512*ep^-4*xi^2*cA^4 - 1/6*ep^-4*xi^3*cR1^4 - 7/6*ep^-4*xi^3*cA*cR1^3 - 97/48*ep^-4*xi^3*cA^2*cR1^2 - 113/96*ep^-4*xi^3*cA^3*cR1 - 95/512*ep^-4*xi^3*cA^4 + 1/24*ep^-4*xi^4*cR1^4 + 1/6*ep^-4*xi^4*cA*cR1^3 + 43/192*ep^-4*xi^4*cA^2*cR1^2 + 11/96*ep^-4*xi^4*cA^3*cR1 + 35/2048*ep^-4*xi^4*cA^4 + 3/8*ep^-3*cR1^4 - 1/6*ep^-3*nli*tri*cR1^3 - 2/9*ep^-3*nli*nlj*tri*trj*cR1^2 + 8/9*ep^-3*nli*nlj*nlk*tri*trj*trk*cR1 + 29/24*ep^-3*cA*cR1^3 + 67/18*ep^-3*cA*nli*tri*cR1^2 + 7/4*ep^-3*cA*nli*cfi*tri*cR1 - 545/54*ep^-3*cA*nli*nlj*tri*trj*cR1 - 2*ep^-3*cA*nli*nlj*cfj*tri*trj + 10/27*ep^-3*cA*nli*nlj*nlk*tri*trj*trk - 1769/144*ep^-3*cA^2*cR1^2 + 18811/432*ep^-3*cA^2*nli*tri*cR1 + 107/16*ep^-3*cA^2*nli*cfi*tri - 1517/216*ep^-3*cA^2*nli*nlj*tri*trj - 109603/1728*ep^-3*cA^3*cR1 + 25685/864*ep^-3*cA^3*nli*tri - 40645/1152*ep^-3*cA^4 - 3/4*ep^-3*xi*cR1^4 - 1/3*ep^-3*xi*nli*tri*cR1^3 + 8/9*ep^-3*xi*nli*nlj*tri*trj*cR1^2 + 7/6*ep^-3*xi*cA*cR1^3 - 359/36*ep^-3*xi*cA*nli*tri*cR1^2 - 7/4*ep^-3*xi*cA*nli*cfi*tri*cR1 + 34/27*ep^-3*xi*cA*nli*nlj*tri*trj*cR1 + 2185/72*ep^-3*xi*cA^2*cR1^2 - 1717/108*ep^-3*xi*cA^2*nli*tri*cR1 - 7/16*ep^-3*xi*cA^2*nli*cfi*tri + 31/108*ep^-3*xi*cA^2*nli*nlj*tri*trj + 143591/3456*ep^-3*xi*cA^3*cR1 - 3203/864*ep^-3*xi*cA^3*nli*tri + 66523/6912*ep^-3*xi*cA^4 + 3/8*ep^-3*xi^2*cR1^4 + 1/2*ep^-3*xi^2*nli*tri*cR1^3 - 49/16*ep^-3*xi^2*cA*cR1^3 + 41/24*ep^-3*xi^2*cA*nli*tri*cR1^2 - 4865/384*ep^-3*xi^2*cA^2*cR1^2 + 143/96*ep^-3*xi^2*cA^2*nli*tri*cR1 - 145/12*ep^-3*xi^2*cA^3*cR1 + 119/384*ep^-3*xi^2*cA^3*nli*tri - 991/384*ep^-3*xi^2*cA^4 + 3/4*ep^-3*xi^3*cA*cR1^3 + 159/64*ep^-3*xi^3*cA^2*cR1^2 + 431/192*ep^-3*xi^3*cA^3*cR1 + 1427/3072*ep^-3*xi^3*cA^4 - 1/16*ep^-3*xi^4*cA*cR1^3 - 7/32*ep^-3*xi^4*cA^2*cR1^2 - 149/768*ep^-3*xi^4*cA^3*cR1 - 61/1536*ep^-3*xi^4*cA^4 + 25/32*ep^-2*cR1^4 + 13/4*ep^-2*nli*tri*cR1^3 - 1/2*ep^-2*nli*cfi*tri*cR1^2 - 95/54*ep^-2*nli*nlj*tri*trj*cR1^2 + 4*ep^-2*nli*nlj*cfj*tri*trj*cR1 - 20/27*ep^-2*nli*nlj*nlk*tri*trj*trk*cR1 - 635/48*ep^-2*cA*cR1^3 + 4183/432*ep^-2*cA*nli*tri*cR1^2 - 193/8*ep^-2*cA*nli*cfi*tri*cR1 + 3/8*ep^-2*cA*nli*cfi^2*tri + 5515/324*ep^-2*cA*nli*nlj*tri*trj*cR1 + 11/2*ep^-2*cA*nli*nlj*cfj*tri*trj + 35/81*ep^-2*cA*nli*nlj*nlk*tri*trj*trk - 28531/1728*ep^-2*cA^2*cR1^2 - 235241/2592*ep^-2*cA^2*nli*tri*cR1 - 353/16*ep^-2*cA^2*nli*cfi*tri + 3401/2592*ep^-2*cA^2*nli*nlj*tri*trj + 1333217/10368*ep^-2*cA^3*cR1 - 238415/10368*ep^-2*cA^3*nli*tri + 239239/6912*ep^-2*cA^4 + 4*ep^-2*z3*cA*cR1^3 - 4*ep^-2*z3*cA*nli*tri*cR1^2 + 10*ep^-2*z3*cA*nli*cfi*tri*cR1 - 4*ep^-2*z3*cA*nli*nlj*cfj*tri*trj + 25/2*ep^-2*z3*cA^2*cR1^2 - 29/6*ep^-2*z3*cA^2*nli*tri*cR1 + 33/2*ep^-2*z3*cA^2*nli*cfi*tri + 3*ep^-2*z3*cA^2*nli*nlj*tri*trj - 215/24*ep^-2*z3*cA^3*cR1 - 201/16*ep^-2*z3*cA^3*nli*tri + 61/64*ep^-2*z3*cA^4 - 1/2*ep^-2*xi*cR1^4 - 3*ep^-2*xi*nli*tri*cR1^3 + 2*ep^-2*xi*nli*cfi*tri*cR1^2 - 20/27*ep^-2*xi*nli*nlj*tri*trj*cR1^2 + 611/48*ep^-2*xi*cA*cR1^3 + 377/27*ep^-2*xi*cA*nli*tri*cR1^2 + 87/8*ep^-2*xi*cA*nli*cfi*tri*cR1 - 4/81*ep^-2*xi*cA*nli*nlj*tri*trj*cR1 - 104677/3456*ep^-2*xi*cA^2*cR1^2 + 20353/1296*ep^-2*xi*cA^2*nli*tri*cR1 + 43/16*ep^-2*xi*cA^2*nli*cfi*tri + 31/648*ep^-2*xi*cA^2*nli*nlj*tri*trj - 865873/20736*ep^-2*xi*cA^3*cR1 + 17539/5184*ep^-2*xi*cA^3*nli*tri - 837265/82944*ep^-2*xi*cA^4 - 4*ep^-2*xi*z3*cA*cR1^3 - 10*ep^-2*xi*z3*cA*nli*cfi*tri*cR1 + ep^-2*xi*z3*cA^2*cR1^2 + 31/4*ep^-2*xi*z3*cA^2*nli*tri*cR1 - 5/2*ep^-2*xi*z3*cA^2*nli*cfi*tri - 67/32*ep^-2*xi*z3*cA^3*cR1 + 95/48*ep^-2*xi*z3*cA^3*nli*tri - 163/192*ep^-2*xi*z3*cA^4 - 3/32*ep^-2*xi^2*cA*cR1^3 - 37/24*ep^-2*xi^2*cA*nli*tri*cR1^2 + 1123/192*ep^-2*xi^2*cA^2*cR1^2 - 55/32*ep^-2*xi^2*cA^2*nli*tri*cR1 + 2499/256*ep^-2*xi^2*cA^3*cR1 - 37/96*ep^-2*xi^2*cA^3*nli*tri + 16109/6144*ep^-2*xi^2*cA^4 + 5/8*ep^-2*xi^2*z3*cA^2*cR1^2 - 1/24*ep^-2*xi^2*z3*cA^2*nli*tri*cR1 + 217/192*ep^-2*xi^2*z3*cA^3*cR1 - 1/96*ep^-2*xi^2*z3*cA^3*nli*tri + 193/768*ep^-2*xi^2*z3*cA^4 - 47/48*ep^-2*xi^3*cA^2*cR1^2 - 461/256*ep^-2*xi^3*cA^3*cR1 - 47/96*ep^-2*xi^3*cA^4 - 1/8*ep^-2*xi^3*z3*cA^2*cR1^2 - 9/64*ep^-2*xi^3*z3*cA^3*cR1 - 7/256*ep^-2*xi^3*z3*cA^4 + 43/384*ep^-2*xi^4*cA^2*cR1^2 + 23/128*ep^-2*xi^4*cA^3*cR1 + 71/1536*ep^-2*xi^4*cA^4 + 1027/32*ep^-1*cR1^4 + 33/2*ep^-1*dFA4R1*NR1^-1 - 32*ep^-1*nli*dFF4iR1*NR1^-1 + 119/12*ep^-1*nli*tri*cR1^3 - 31/2*ep^-1*nli*cfi*tri*cR1^2 - 3/4*ep^-1*nli*cfi^2*tri*cR1 + 23/9*ep^-1*nli*nlj*tri*trj*cR1^2 - 11*ep^-1*nli*nlj*cfj*tri*trj*cR1 - 70/81*ep^-1*nli*nlj*nlk*tri*trj*trk*cR1 - 5131/48*ep^-1*cA*cR1^3 - 1607/36*ep^-1*cA*nli*tri*cR1^2 + 2945/48*ep^-1*cA*nli*cfi*tri*cR1 - 271/48*ep^-1*cA*nli*cfi^2*tri - 6835/972*ep^-1*cA*nli*nlj*tri*trj*cR1 - 115/108*ep^-1*cA*nli*nlj*cfj*tri*trj + 83/162*ep^-1*cA*nli*nlj*nlk*tri*trj*trk + 23777/144*ep^-1*cA^2*cR1^2 + 1365691/15552*ep^-1*cA^2*nli*tri*cR1 + 34109/1728*ep^-1*cA^2*nli*cfi*tri - 6307/3888*ep^-1*cA^2*nli*nlj*tri*trj - 10059589/62208*ep^-1*cA^3*cR1 + 473903/31104*ep^-1*cA^3*nli*tri - 350227/15552*ep^-1*cA^4 - 15*ep^-1*z5*NA^-1*nli*dFA4i - 160*ep^-1*z5*cR1^4 + 85/2*ep^-1*z5*dFA4R1*NR1^-1 + 360*ep^-1*z5*cA*cR1^3 - 40*ep^-1*z5*cA*nli*tri*cR1^2 + 30*ep^-1*z5*cA*nli*cfi^2*tri - 395/2*ep^-1*z5*cA^2*cR1^2 + 20*ep^-1*z5*cA^2*nli*tri*cR1 - 15*ep^-1*z5*cA^2*nli*cfi*tri + 1865/48*ep^-1*z5*cA^3*cR1 - 55/4*ep^-1*z5*cA^3*nli*tri + 5125/384*ep^-1*z5*cA^4 - 6*ep^-1*z4*cA*nli*tri*cR1^2 - 3*ep^-1*z4*cA*nli*cfi*tri*cR1 - 6*ep^-1*z4*cA*nli*nlj*cfj*tri*trj + 33/2*ep^-1*z4*cA^2*cR1^2 + 25/4*ep^-1*z4*cA^2*nli*tri*cR1 + 63/4*ep^-1*z4*cA^2*nli*cfi*tri + 9/2*ep^-1*z4*cA^2*nli*nlj*tri*trj - 173/16*ep^-1*z4*cA^3*cR1 - 387/32*ep^-1*z4*cA^3*nli*tri + 111/128*ep^-1*z4*cA^4 + 12*ep^-1*z3*NA^-1*nli*dFA4i + 100*ep^-1*z3*cR1^4 - 95/2*ep^-1*z3*dFA4R1*NR1^-1 + 4*ep^-1*z3*nli*tri*cR1^3 + 12*ep^-1*z3*nli*cfi*tri*cR1^2 + 8*ep^-1*z3*nli*nlj*cfj*tri*trj*cR1 - 212*ep^-1*z3*cA*cR1^3 + 28*ep^-1*z3*cA*nli*tri*cR1^2 - 39*ep^-1*z3*cA*nli*cfi*tri*cR1 - 37/2*ep^-1*z3*cA*nli*cfi^2*tri - 28/3*ep^-1*z3*cA*nli*nlj*tri*trj*cR1 + 10*ep^-1*z3*cA*nli*nlj*cfj*tri*trj - 8/9*ep^-1*z3*cA*nli*nlj*nlk*tri*trj*trk + 107/2*ep^-1*z3*cA^2*cR1^2 + 119/12*ep^-1*z3*cA^2*nli*tri*cR1 - 51/2*ep^-1*z3*cA^2*nli*cfi*tri - 47/6*ep^-1*z3*cA^2*nli*nlj*tri*trj + 1489/96*ep^-1*z3*cA^3*cR1 + 3311/96*ep^-1*z3*cA^3*nli*tri - 2959/288*ep^-1*z3*cA^4 + 1/4*ep^-1*xi*dFA4R1*NR1^-1 - 767/48*ep^-1*xi*cA*nli*cfi*tri*cR1 - 269/243*ep^-1*xi*cA*nli*nlj*tri*trj*cR1 + 3/4*ep^-1*xi*cA^2*cR1^2 - 48865/15552*ep^-1*xi*cA^2*nli*tri*cR1 - 863/192*ep^-1*xi*cA^2*nli*cfi*tri - 1229/3888*ep^-1*xi*cA^2*nli*nlj*tri*trj + 2127929/124416*ep^-1*xi*cA^3*cR1 - 35345/31104*ep^-1*xi*cA^3*nli*tri + 1539403/248832*ep^-1*xi*cA^4 - 35/2*ep^-1*xi*z5*dFA4R1*NR1^-1 + 5/4*ep^-1*xi*z5*cA^2*cR1^2 - 665/96*ep^-1*xi*z5*cA^3*cR1 - 55/32*ep^-1*xi*z5*cA^4 + 3*ep^-1*xi*z4*cA*nli*cfi*tri*cR1 - 15/8*ep^-1*xi*z4*cA^2*nli*tri*cR1 + 3/4*ep^-1*xi*z4*cA^2*nli*cfi*tri - 87/64*ep^-1*xi*z4*cA^3*cR1 - 13/32*ep^-1*xi*z4*cA^3*nli*tri - 73/128*ep^-1*xi*z4*cA^4 + 12*ep^-1*xi*z3*dFA4R1*NR1^-1 + 11*ep^-1*xi*z3*cA*nli*cfi*tri*cR1 + 4/3*ep^-1*xi*z3*cA*nli*nlj*tri*trj*cR1 - 7/8*ep^-1*xi*z3*cA^2*cR1^2 - 59/6*ep^-1*xi*z3*cA^2*nli*tri*cR1 + 7/2*ep^-1*xi*z3*cA^2*nli*cfi*tri + 1/3*ep^-1*xi*z3*cA^2*nli*nlj*tri*trj + 1013/96*ep^-1*xi*z3*cA^3*cR1 - 37/12*ep^-1*xi*z3*cA^3*nli*tri + 389/128*ep^-1*xi*z3*cA^4 + 109/288*ep^-1*xi^2*cA^2*nli*tri*cR1 - 13883/4608*ep^-1*xi^2*cA^3*cR1 + 43/256*ep^-1*xi^2*cA^3*nli*tri - 3823/3072*ep^-1*xi^2*cA^4 + 5/4*ep^-1*xi^2*z5*dFA4R1*NR1^-1 + 5/12*ep^-1*xi^2*z5*cA^3*cR1 - 35/1024*ep^-1*xi^2*z5*cA^4 - 1/16*ep^-1*xi^2*z4*cA^2*nli*tri*cR1 + 43/128*ep^-1*xi^2*z4*cA^3*cR1 - 1/64*ep^-1*xi^2*z4*cA^3*nli*tri + 49/512*ep^-1*xi^2*z4*cA^4 + 7/4*ep^-1*xi^2*z3*dFA4R1*NR1^-1 + 7/24*ep^-1*xi^2*z3*cA^2*nli*tri*cR1 - 253/128*ep^-1*xi^2*z3*cA^3*cR1 + 1/24*ep^-1*xi^2*z3*cA^3*nli*tri - 1267/3072*ep^-1*xi^2*z3*cA^4 + 263/384*ep^-1*xi^3*cA^3*cR1 + 1657/6144*ep^-1*xi^3*cA^4 + 5/8*ep^-1*xi^3*z5*dFA4R1*NR1^-1 + 5/96*ep^-1*xi^3*z5*cA^3*cR1 + 325/6144*ep^-1*xi^3*z5*cA^4 - 3/128*ep^-1*xi^3*z4*cA^3*cR1 - 3/512*ep^-1*xi^3*z4*cA^4 - 5/4*ep^-1*xi^3*z3*dFA4R1*NR1^-1 + 65/384*ep^-1*xi^3*z3*cA^3*cR1 + 3/512*ep^-1*xi^3*z3*cA^4 - 19/256*ep^-1*xi^4*cA^3*cR1 - 15/512*ep^-1*xi^4*cA^4 - 5/32*ep^-1*xi^4*z5*dFA4R1*NR1^-1 - 5/384*ep^-1*xi^4*z5*cA^3*cR1 - 115/12288*ep^-1*xi^4*z5*cA^4 + 7/32*ep^-1*xi^4*z3*dFA4R1*NR1^-1 - 1/768*ep^-1*xi^4*z3*cA^3*cR1 + 37/6144*ep^-1*xi^4*z3*cA^4 + 21/32*dAA4*ep^-1*NA^-1 + 335/16*dAA4*ep^-1*z5*NA^-1 - 367/16*dAA4*ep^-1*z3*NA^-1 - 9/64*dAA4*ep^-1*xi*NA^-1 + 139/32*dAA4*ep^-1*xi*z3*NA^-1 + 3/128*dAA4*ep^-1*xi^2*NA^-1 - 165/128*dAA4*ep^-1*xi^2*z5*NA^-1 - 63/128*dAA4*ep^-1*xi^2*z3*NA^-1 + 65/256*dAA4*ep^-1*xi^3*z5*NA^-1 + 9/128*dAA4*ep^-1*xi^3*z3*NA^-1 - 5/512*dAA4*ep^-1*xi^4*z5*NA^-1 - 1/64*dAA4*ep^-1*xi^4*z3*NA^-1) + 1; (* renormalization constants for the mass (of the quark in the representation R1) and coupling g *) Zm = +a*(-3*ep^-1*cR1) + a^2*(+9/2*ep^-2*cR1^2 - 2*ep^-2*nli*tri*cR1 + 11/2*ep^-2*cA*cR1 - 3/4*ep^-1*cR1^2 + 5/3*ep^-1*nli*tri*cR1 - 97/12*ep^-1*cA*cR1) + a^3*(-9/2*ep^-3*cR1^3 + 6*ep^-3*nli*tri*cR1^2 - 16/9*ep^-3*nli*nlj*tri*trj*cR1 - 33/2*ep^-3*cA*cR1^2 + 88/9*ep^-3*cA*nli*tri*cR1 - 121/9*ep^-3*cA^2*cR1 + 9/4*ep^-2*cR1^3 - 17/3*ep^-2*nli*tri*cR1^2 - 4*ep^-2*nli*cfi*tri*cR1 + 40/27*ep^-2*nli*nlj*tri*trj*cR1 + 313/12*ep^-2*cA*cR1^2 - 484/27*ep^-2*cA*nli*tri*cR1 + 1679/54*ep^-2*cA^2*cR1 - 43/2*ep^-1*cR1^3 + 1/3*ep^-1*nli*tri*cR1^2 + 15*ep^-1*nli*cfi*tri*cR1 + 140/81*ep^-1*nli*nlj*tri*trj*cR1 + 43/4*ep^-1*cA*cR1^2 + 556/81*ep^-1*cA*nli*tri*cR1 - 11413/324*ep^-1*cA^2*cR1 - 16*ep^-1*z3*nli*cfi*tri*cR1 + 16*ep^-1*z3*cA*nli*tri*cR1) + a^4*(+27/8*ep^-4*cR1^4 - 9*ep^-4*nli*tri*cR1^3 + 22/3*ep^-4*nli*nlj*tri*trj*cR1^2 - 16/9*ep^-4*nli*nlj*nlk*tri*trj*trk*cR1 + 99/4*ep^-4*cA*cR1^3 - 121/3*ep^-4*cA*nli*tri*cR1^2 + 44/3*ep^-4*cA*nli*nlj*tri*trj*cR1 + 1331/24*ep^-4*cA^2*cR1^2 - 121/3*ep^-4*cA^2*nli*tri*cR1 + 1331/36*ep^-4*cA^3*cR1 - 27/8*ep^-3*cR1^4 + 11*ep^-3*nli*tri*cR1^3 + 12*ep^-3*nli*cfi*tri*cR1^2 - 76/9*ep^-3*nli*nlj*tri*trj*cR1^2 - 8*ep^-3*nli*nlj*cfj*tri*trj*cR1 + 40/27*ep^-3*nli*nlj*nlk*tri*trj*trk*cR1 - 46*ep^-3*cA*cR1^3 + 745/9*ep^-3*cA*nli*tri*cR1^2 + 22*ep^-3*cA*nli*cfi*tri*cR1 - 86/3*ep^-3*cA*nli*nlj*tri*trj*cR1 - 1285/9*ep^-3*cA^2*cR1^2 + 1981/18*ep^-3*cA^2*nli*tri*cR1 - 25201/216*ep^-3*cA^3*cR1 + 2073/32*ep^-2*cR1^4 - 95/4*ep^-2*nli*tri*cR1^3 - 93/2*ep^-2*nli*cfi*tri*cR1^2 + 3/2*ep^-2*nli*cfi^2*tri*cR1 - 187/54*ep^-2*nli*nlj*tri*trj*cR1^2 + 22*ep^-2*nli*nlj*cfj*tri*trj*cR1 + 140/81*ep^-2*nli*nlj*nlk*tri*trj*trk*cR1 + 527/16*ep^-2*cA*cR1^3 - 2887/108*ep^-2*cA*nli*tri*cR1^2 - 149/2*ep^-2*cA*nli*cfi*tri*cR1 + 217/18*ep^-2*cA*nli*nlj*tri*trj*cR1 + 97661/864*ep^-2*cA^2*cR1^2 - 7009/54*ep^-2*cA^2*nli*tri*cR1 + 236333/1296*ep^-2*cA^3*cR1 + 48*ep^-2*z3*nli*cfi*tri*cR1^2 - 16*ep^-2*z3*nli*nlj*cfj*tri*trj*cR1 - 48*ep^-2*z3*cA*nli*tri*cR1^2 + 44*ep^-2*z3*cA*nli*cfi*tri*cR1 + 16*ep^-2*z3*cA*nli*nlj*tri*trj*cR1 - 44*ep^-2*z3*cA^2*nli*tri*cR1 + 1261/32*ep^-1*cR1^4 + 8*ep^-1*dFA4R1*NR1^-1 - 16*ep^-1*nli*dFF4iR1*NR1^-1 + 437/12*ep^-1*nli*tri*cR1^3 + 19/2*ep^-1*nli*cfi*tri*cR1^2 - 271/12*ep^-1*nli*cfi^2*tri*cR1 + 13/9*ep^-1*nli*nlj*tri*trj*cR1^2 - 115/27*ep^-1*nli*nlj*cfj*tri*trj*cR1 + 166/81*ep^-1*nli*nlj*nlk*tri*trj*trk*cR1 - 15349/48*ep^-1*cA*cR1^3 - 1429/36*ep^-1*cA*nli*tri*cR1^2 + 6553/54*ep^-1*cA*nli*cfi*tri*cR1 - 671/162*ep^-1*cA*nli*nlj*tri*trj*cR1 + 34045/144*ep^-1*cA^2*cR1^2 + 65459/648*ep^-1*cA^2*nli*tri*cR1 - 70055/288*ep^-1*cA^3*cR1 + 120*ep^-1*z5*nli*cfi^2*tri*cR1 + 40*ep^-1*z5*cA*nli*tri*cR1^2 - 60*ep^-1*z5*cA*nli*cfi*tri*cR1 - 110*ep^-1*z5*cA^2*cR1^2 - 100*ep^-1*z5*cA^2*nli*tri*cR1 + 110*ep^-1*z5*cA^3*cR1 - 24*ep^-1*z4*nli*nlj*cfj*tri*trj*cR1 + 66*ep^-1*z4*cA*nli*cfi*tri*cR1 + 24*ep^-1*z4*cA*nli*nlj*tri*trj*cR1 - 66*ep^-1*z4*cA^2*nli*tri*cR1 + 84*ep^-1*z3*cR1^4 - 60*ep^-1*z3*dFA4R1*NR1^-1 + 120*ep^-1*z3*nli*dFF4iR1*NR1^-1 - 52*ep^-1*z3*nli*tri*cR1^3 - 12*ep^-1*z3*nli*cfi*tri*cR1^2 - 74*ep^-1*z3*nli*cfi^2*tri*cR1 + 40*ep^-1*z3*nli*nlj*cfj*tri*trj*cR1 - 32/9*ep^-1*z3*nli*nlj*nlk*tri*trj*trk*cR1 - 79*ep^-1*z3*cA*cR1^3 + 56*ep^-1*z3*cA*nli*tri*cR1^2 - 148*ep^-1*z3*cA*nli*cfi*tri*cR1 - 40*ep^-1*z3*cA*nli*nlj*tri*trj*cR1 + 38*ep^-1*z3*cA^2*cR1^2 + 671/3*ep^-1*z3*cA^2*nli*tri*cR1 - 709/18*ep^-1*z3*cA^3*cR1) + 1; Zg = +a*(+2/3*ep^-1*nli*tri - 11/6*ep^-1*cA) + a^2*(+2/3*ep^-2*nli*nlj*tri*trj - 11/3*ep^-2*cA*nli*tri + 121/24*ep^-2*cA^2 + ep^-1*nli*cfi*tri + 5/3*ep^-1*cA*nli*tri - 17/6*ep^-1*cA^2) + a^3*(+20/27*ep^-3*nli*nlj*nlk*tri*trj*trk - 55/9*ep^-3*cA*nli*nlj*tri*trj + 605/36*ep^-3*cA^2*nli*tri - 6655/432*ep^-3*cA^3 + 22/9*ep^-2*nli*nlj*cfj*tri*trj - 121/18*ep^-2*cA*nli*cfi*tri + 110/27*ep^-2*cA*nli*nlj*tri*trj - 979/54*ep^-2*cA^2*nli*tri + 2057/108*ep^-2*cA^3 - 1/3*ep^-1*nli*cfi^2*tri - 22/27*ep^-1*nli*nlj*cfj*tri*trj + 205/54*ep^-1*cA*nli*cfi*tri - 79/81*ep^-1*cA*nli*nlj*tri*trj + 1415/162*ep^-1*cA^2*nli*tri - 2857/324*ep^-1*cA^3) + a^4*(+70/81*ep^-4*nli*nlj*nlk*tri*trj*trk*nll*trl - 770/81*ep^-4*cA*nli*nlj*nlk*tri*trj*trk + 4235/108*ep^-4*cA^2*nli*nlj*tri*trj - 46585/648*ep^-4*cA^3*nli*tri + 512435/10368*ep^-4*cA^4 + 122/27*ep^-3*nli*nlj*nlk*cfi*tri*trj*trk - 671/27*ep^-3*cA*nli*nlj*cfj*tri*trj + 610/81*ep^-3*cA*nli*nlj*nlk*tri*trj*trk + 7381/216*ep^-3*cA^2*nli*cfi*tri - 488/9*ep^-3*cA^2*nli*nlj*tri*trj + 27511/216*ep^-3*cA^3*nli*tri - 125477/1296*ep^-3*cA^4 - 8/9*ep^-2*nli*nlj*cfj^2*tri*trj + 5/2*ep^-2*nli*nlj*cfi*cfj*tri*trj - 176/81*ep^-2*nli*nlj*nlk*cfi*tri*trj*trk + 22/9*ep^-2*cA*nli*cfi^2*tri + 1979/81*ep^-2*cA*nli*nlj*cfj*tri*trj - 632/243*ep^-2*cA*nli*nlj*nlk*tri*trj*trk - 6805/162*ep^-2*cA^2*nli*cfi*tri + 673/18*ep^-2*cA^2*nli*nlj*tri*trj - 18011/162*ep^-2*cA^3*nli*tri + 164723/1944*ep^-2*cA^4 - 64/9*ep^-1*NA^-1*nli*dFA4i + 88/9*ep^-1*NA^-1*nli*nlj*dFF4ij - 23/4*ep^-1*nli*cfi^3*tri + 38/27*ep^-1*nli*nlj*cfj^2*tri*trj - 23/3*ep^-1*nli*nlj*cfi*cfj*tri*trj - 154/243*ep^-1*nli*nlj*nlk*cfi*tri*trj*trk + 1051/54*ep^-1*cA*nli*cfi^2*tri - 2144/243*ep^-1*cA*nli*nlj*cfj*tri*trj - 53/243*ep^-1*cA*nli*nlj*nlk*tri*trj*trk - 7073/1944*ep^-1*cA^2*nli*cfi*tri - 3965/324*ep^-1*cA^2*nli*nlj*tri*trj + 39143/648*ep^-1*cA^3*nli*tri - 150653/3888*ep^-1*cA^4 + 208/3*ep^-1*z3*NA^-1*nli*dFA4i - 64/3*ep^-1*z3*NA^-1*nli*nlj*dFF4ij + 16/9*ep^-1*z3*nli*nlj*cfj^2*tri*trj + 8*ep^-1*z3*nli*nlj*cfi*cfj*tri*trj - 44/9*ep^-1*z3*cA*nli*cfi^2*tri - 56/9*ep^-1*z3*cA*nli*nlj*cfj*tri*trj + 82/9*ep^-1*z3*cA^2*nli*cfi*tri - 28/9*ep^-1*z3*cA^2*nli*nlj*tri*trj - 17/3*ep^-1*z3*cA^3*nli*tri + 11/18*ep^-1*z3*cA^4 + 10/9*dAA4*ep^-1*NA^-1 - 88/3*dAA4*ep^-1*z3*NA^-1) + 1; (* anomalous dimension gauge boson, ghost and fermion fields (the latter in the representation R1) *) gamma3gg = +a*(-4/3*nli*tri + 5/3*cA + 1/2*xi*cA) + a^2*(-4*nli*cfi*tri - 5*cA*nli*tri + 23/4*cA^2 + 15/8*xi*cA^2 - 1/4*xi^2*cA^2) + a^3*(+2*nli*cfi^2*tri + 44/9*nli*nlj*cfj*tri*trj - 5/18*cA*nli*cfi*tri + 76/9*cA*nli*nlj*tri*trj - 875/18*cA^2*nli*tri + 4051/144*cA^3 - 24*z3*cA*nli*cfi*tri + 18*z3*cA^2*nli*tri - 3/2*z3*cA^3 - 2*xi*cA^2*nli*tri + 127/16*xi*cA^3 + 9/8*xi*z3*cA^3 - 27/16*xi^2*cA^3 - 3/16*xi^2*z3*cA^3 + 7/32*xi^3*cA^3) + a^4*(+512/9*NA^-1*nli*dFA4i - 704/9*NA^-1*nli*nlj*dFF4ij + 46*nli*cfi^3*tri - 304/27*nli*nlj*cfj^2*tri*trj + 184/3*nli*nlj*cfi*cfj*tri*trj + 1232/243*nli*nlj*nlk*cfi*tri*trj*trk - 10847/54*cA*nli*cfi^2*tri + 15082/243*cA*nli*nlj*cfj*tri*trj + 1420/243*cA*nli*nlj*nlk*tri*trj*trk + 363565/1944*cA^2*nli*cfi*tri + 41273/486*cA^2*nli*nlj*tri*trj - 1404961/3888*cA^3*nli*tri + 252385/1944*cA^4 - 120*z5*NA^-1*nli*dFA4i + 240*z5*cA*nli*cfi^2*tri - 120*z5*cA^2*nli*cfi*tri - 110*z5*cA^3*nli*tri + 5125/48*z5*cA^4 - 48*z4*cA*nli*nlj*cfj*tri*trj + 126*z4*cA^2*nli*cfi*tri + 36*z4*cA^2*nli*nlj*tri*trj - 387/4*z4*cA^3*nli*tri + 111/16*z4*cA^4 - 1376/3*z3*NA^-1*nli*dFA4i + 512/3*z3*NA^-1*nli*nlj*dFF4ij - 128/9*z3*nli*nlj*cfj^2*tri*trj - 64*z3*nli*nlj*cfi*cfj*tri*trj - 980/9*z3*cA*nli*cfi^2*tri + 1168/9*z3*cA*nli*nlj*cfj*tri*trj - 64/9*z3*cA*nli*nlj*nlk*tri*trj*trk - 2492/9*z3*cA^2*nli*cfi*tri - 340/9*z3*cA^2*nli*nlj*tri*trj + 1285/4*z3*cA^3*nli*tri - 1045/12*z3*cA^4 - 863/24*xi*cA^2*nli*cfi*tri - 1229/486*xi*cA^2*nli*nlj*tri*trj - 35345/3888*xi*cA^3*nli*tri + 1539403/31104*xi*cA^4 - 55/4*xi*z5*cA^4 + 6*xi*z4*cA^2*nli*cfi*tri - 13/4*xi*z4*cA^3*nli*tri - 73/16*xi*z4*cA^4 + 28*xi*z3*cA^2*nli*cfi*tri + 8/3*xi*z3*cA^2*nli*nlj*tri*trj - 74/3*xi*z3*cA^3*nli*tri + 389/16*xi*z3*cA^4 + 43/32*xi^2*cA^3*nli*tri - 3823/384*xi^2*cA^4 - 35/128*xi^2*z5*cA^4 - 1/8*xi^2*z4*cA^3*nli*tri + 49/64*xi^2*z4*cA^4 + 1/3*xi^2*z3*cA^3*nli*tri - 1267/384*xi^2*z3*cA^4 + 1657/768*xi^3*cA^4 + 325/768*xi^3*z5*cA^4 - 3/64*xi^3*z4*cA^4 + 3/64*xi^3*z3*cA^4 - 15/64*xi^4*cA^4 - 115/1536*xi^4*z5*cA^4 + 37/768*xi^4*z3*cA^4 - 131/36*dAA4*NA^-1 + 335/2*dAA4*z5*NA^-1 + 307/6*dAA4*z3*NA^-1 - 9/8*dAA4*xi*NA^-1 + 139/4*dAA4*xi*z3*NA^-1 + 3/16*dAA4*xi^2*NA^-1 - 165/16*dAA4*xi^2*z5*NA^-1 - 63/16*dAA4*xi^2*z3*NA^-1 + 65/32*dAA4*xi^3*z5*NA^-1 + 9/16*dAA4*xi^3*z3*NA^-1 - 5/64*dAA4*xi^4*z5*NA^-1 - 1/8*dAA4*xi^4*z3*NA^-1); gamma3cc = +a*(+1/2*cA + 1/4*xi*cA) + a^2*(-5/6*cA*nli*tri + 49/24*cA^2 - 1/16*xi*cA^2) + a^3*(-45/4*cA*nli*cfi*tri - 35/27*cA*nli*nlj*tri*trj - 5/216*cA^2*nli*tri + 229/27*cA^3 + 12*z3*cA*nli*cfi*tri - 9*z3*cA^2*nli*tri + 3/4*z3*cA^3 - 7/8*xi*cA^2*nli*tri + 55/64*xi*cA^3 - 9/16*xi*z3*cA^3 - 15/64*xi^2*cA^3 + 3/32*xi^2*z3*cA^3 + 3/64*xi^3*cA^3) + a^4*(+271/12*cA*nli*cfi^2*tri + 115/27*cA*nli*nlj*cfj*tri*trj - 166/81*cA*nli*nlj*nlk*tri*trj*trk - 22517/432*cA^2*nli*cfi*tri + 8315/972*cA^2*nli*nlj*tri*trj - 449239/7776*cA^3*nli*tri + 256337/3888*cA^4 + 60*z5*NA^-1*nli*dFA4i - 120*z5*cA*nli*cfi^2*tri + 60*z5*cA^2*nli*cfi*tri + 55*z5*cA^3*nli*tri - 4505/96*z5*cA^4 + 24*z4*cA*nli*nlj*cfj*tri*trj - 69*z4*cA^2*nli*cfi*tri - 18*z4*cA^2*nli*nlj*tri*trj + 423/8*z4*cA^3*nli*tri - 123/32*z4*cA^4 - 48*z3*NA^-1*nli*dFA4i + 74*z3*cA*nli*cfi^2*tri - 40*z3*cA*nli*nlj*cfj*tri*trj + 32/9*z3*cA*nli*nlj*nlk*tri*trj*trk + 86*z3*cA^2*nli*cfi*tri + 86/3*z3*cA^2*nli*nlj*tri*trj - 2983/24*z3*cA^3*nli*tri + 2485/72*z3*cA^4 - 425/48*xi*cA^2*nli*cfi*tri - 779/972*xi*cA^2*nli*nlj*tri*trj + 2527/7776*xi*cA^3*nli*tri + 256273/62208*xi*cA^4 - 25/48*xi*z5*cA^4 + 3*xi*z4*cA^2*nli*cfi*tri - 23/8*xi*z4*cA^3*nli*tri + 47/16*xi*z4*cA^4 + 2*xi*z3*cA^2*nli*cfi*tri + 4/3*xi*z3*cA^2*nli*nlj*tri*trj - 7/4*xi*z3*cA^3*nli*tri - 199/48*xi*z3*cA^4 + 217/576*xi^2*cA^3*nli*tri - 2063/2304*xi^2*cA^4 + 305/256*xi^2*z5*cA^4 + 1/16*xi^2*z4*cA^3*nli*tri - 91/128*xi^2*z4*cA^4 + 1/4*xi^2*z3*cA^3*nli*tri - 9/256*xi^2*z3*cA^4 + 347/1536*xi^3*cA^4 - 155/512*xi^3*z5*cA^4 + 9/128*xi^3*z4*cA^4 + 91/384*xi^3*z3*cA^4 - 1/32*xi^4*cA^4 + 35/3072*xi^4*z5*cA^4 - 41/1536*xi^4*z3*cA^4 - 21/8*dAA4*NA^-1 - 265/4*dAA4*z5*NA^-1 + 299/4*dAA4*z3*NA^-1 + 9/16*dAA4*xi*NA^-1 - 85/4*dAA4*xi*z5*NA^-1 + 27/8*dAA4*xi*z3*NA^-1 - 3/32*dAA4*xi^2*NA^-1 + 315/32*dAA4*xi^2*z5*NA^-1 - 63/32*dAA4*xi^2*z3*NA^-1 - 105/64*dAA4*xi^3*z5*NA^-1 - 17/32*dAA4*xi^3*z3*NA^-1 - 35/128*dAA4*xi^4*z5*NA^-1 + 1/2*dAA4*xi^4*z3*NA^-1); gamma2qR1 = +a*(-cR1 + xi*cR1) + a^2*(+3/2*cR1^2 + 2*nli*tri*cR1 - 17/2*cA*cR1 + 5/2*xi*cA*cR1 - 1/4*xi^2*cA*cR1) + a^3*(-3/2*cR1^3 - 9*nli*tri*cR1^2 + 6*nli*cfi*tri*cR1 - 20/9*nli*nlj*tri*trj*cR1 + 143/4*cA*cR1^2 + 1301/36*cA*nli*tri*cR1 - 10559/144*cA^2*cR1 - 12*z3*cA*cR1^2 + 15/2*z3*cA^2*cR1 - 17/4*xi*cA*nli*tri*cR1 + 371/32*xi*cA^2*cR1 + 3/2*xi*z3*cA^2*cR1 - 69/32*xi^2*cA^2*cR1 - 3/8*xi^2*z3*cA^2*cR1 + 5/16*xi^3*cA^2*cR1) + a^4*(+1027/8*cR1^4 + 66*dFA4R1*NR1^-1 - 128*nli*dFF4iR1*NR1^-1 + 119/3*nli*tri*cR1^3 - 62*nli*cfi*tri*cR1^2 - 3*nli*cfi^2*tri*cR1 + 92/9*nli*nlj*tri*trj*cR1^2 - 44*nli*nlj*cfj*tri*trj*cR1 - 280/81*nli*nlj*nlk*tri*trj*trk*cR1 - 5131/12*cA*cR1^3 - 1607/9*cA*nli*tri*cR1^2 + 2945/12*cA*nli*cfi*tri*cR1 - 6835/243*cA*nli*nlj*tri*trj*cR1 + 23777/36*cA^2*cR1^2 + 1365691/3888*cA^2*nli*tri*cR1 - 10059589/15552*cA^3*cR1 - 640*z5*cR1^4 + 170*z5*dFA4R1*NR1^-1 + 1440*z5*cA*cR1^3 - 160*z5*cA*nli*tri*cR1^2 - 790*z5*cA^2*cR1^2 + 80*z5*cA^2*nli*tri*cR1 + 1865/12*z5*cA^3*cR1 - 24*z4*cA*nli*tri*cR1^2 - 12*z4*cA*nli*cfi*tri*cR1 + 66*z4*cA^2*cR1^2 + 25*z4*cA^2*nli*tri*cR1 - 173/4*z4*cA^3*cR1 + 400*z3*cR1^4 - 190*z3*dFA4R1*NR1^-1 + 16*z3*nli*tri*cR1^3 + 48*z3*nli*cfi*tri*cR1^2 + 32*z3*nli*nlj*cfj*tri*trj*cR1 - 848*z3*cA*cR1^3 + 112*z3*cA*nli*tri*cR1^2 - 156*z3*cA*nli*cfi*tri*cR1 - 112/3*z3*cA*nli*nlj*tri*trj*cR1 + 214*z3*cA^2*cR1^2 + 119/3*z3*cA^2*nli*tri*cR1 + 1489/24*z3*cA^3*cR1 + xi*dFA4R1*NR1^-1 - 767/12*xi*cA*nli*cfi*tri*cR1 - 1076/243*xi*cA*nli*nlj*tri*trj*cR1 + 3*xi*cA^2*cR1^2 - 48865/3888*xi*cA^2*nli*tri*cR1 + 2127929/31104*xi*cA^3*cR1 - 70*xi*z5*dFA4R1*NR1^-1 + 5*xi*z5*cA^2*cR1^2 - 665/24*xi*z5*cA^3*cR1 + 12*xi*z4*cA*nli*cfi*tri*cR1 - 15/2*xi*z4*cA^2*nli*tri*cR1 - 87/16*xi*z4*cA^3*cR1 + 48*xi*z3*dFA4R1*NR1^-1 + 44*xi*z3*cA*nli*cfi*tri*cR1 + 16/3*xi*z3*cA*nli*nlj*tri*trj*cR1 - 7/2*xi*z3*cA^2*cR1^2 - 118/3*xi*z3*cA^2*nli*tri*cR1 + 1013/24*xi*z3*cA^3*cR1 + 109/72*xi^2*cA^2*nli*tri*cR1 - 13883/1152*xi^2*cA^3*cR1 + 5*xi^2*z5*dFA4R1*NR1^-1 + 5/3*xi^2*z5*cA^3*cR1 - 1/4*xi^2*z4*cA^2*nli*tri*cR1 + 43/32*xi^2*z4*cA^3*cR1 + 7*xi^2*z3*dFA4R1*NR1^-1 + 7/6*xi^2*z3*cA^2*nli*tri*cR1 - 253/32*xi^2*z3*cA^3*cR1 + 263/96*xi^3*cA^3*cR1 + 5/2*xi^3*z5*dFA4R1*NR1^-1 + 5/24*xi^3*z5*cA^3*cR1 - 3/32*xi^3*z4*cA^3*cR1 - 5*xi^3*z3*dFA4R1*NR1^-1 + 65/96*xi^3*z3*cA^3*cR1 - 19/64*xi^4*cA^3*cR1 - 5/8*xi^4*z5*dFA4R1*NR1^-1 - 5/96*xi^4*z5*cA^3*cR1 + 7/8*xi^4*z3*dFA4R1*NR1^-1 - 1/192*xi^4*z3*cA^3*cR1); (* anomalous dimensions of the gauge boson-ghost-ghost and gauge boson-fermion-fermion vertexes (the external fermion line is transformed according to the fermion representation R1) *) gamma1qqg = +a*(-cR1 - cA + xi*cR1 + 1/4*xi*cA) + a^2*(+3/2*cR1^2 + 2*nli*tri*cR1 - 17/2*cA*cR1 + 5/6*cA*nli*tri - 67/24*cA^2 + 5/2*xi*cA*cR1 + 15/16*xi*cA^2 - 1/4*xi^2*cA*cR1 - 1/8*xi^2*cA^2) + a^3*(-3/2*cR1^3 - 9*nli*tri*cR1^2 + 6*nli*cfi*tri*cR1 - 20/9*nli*nlj*tri*trj*cR1 + 143/4*cA*cR1^2 + 1301/36*cA*nli*tri*cR1 + 45/4*cA*nli*cfi*tri + 35/27*cA*nli*nlj*tri*trj - 10559/144*cA^2*cR1 + 205/108*cA^2*nli*tri - 10703/864*cA^3 - 12*z3*cA*cR1^2 - 12*z3*cA*nli*cfi*tri + 15/2*z3*cA^2*cR1 + 9*z3*cA^2*nli*tri - 3/4*z3*cA^3 - 17/4*xi*cA*nli*tri*cR1 + 371/32*xi*cA^2*cR1 - xi*cA^2*nli*tri + 127/32*xi*cA^3 + 3/2*xi*z3*cA^2*cR1 + 9/16*xi*z3*cA^3 - 69/32*xi^2*cA^2*cR1 - 27/32*xi^2*cA^3 - 3/8*xi^2*z3*cA^2*cR1 - 3/32*xi^2*z3*cA^3 + 5/16*xi^3*cA^2*cR1 + 7/64*xi^3*cA^3) + a^4*(+1027/8*cR1^4 + 66*dFA4R1*NR1^-1 - 128*nli*dFF4iR1*NR1^-1 + 119/3*nli*tri*cR1^3 - 62*nli*cfi*tri*cR1^2 - 3*nli*cfi^2*tri*cR1 + 92/9*nli*nlj*tri*trj*cR1^2 - 44*nli*nlj*cfj*tri*trj*cR1 - 280/81*nli*nlj*nlk*tri*trj*trk*cR1 - 5131/12*cA*cR1^3 - 1607/9*cA*nli*tri*cR1^2 + 2945/12*cA*nli*cfi*tri*cR1 - 271/12*cA*nli*cfi^2*tri - 6835/243*cA*nli*nlj*tri*trj*cR1 - 115/27*cA*nli*nlj*cfj*tri*trj + 166/81*cA*nli*nlj*nlk*tri*trj*trk + 23777/36*cA^2*cR1^2 + 1365691/3888*cA^2*nli*tri*cR1 + 34109/432*cA^2*nli*cfi*tri - 6307/972*cA^2*nli*nlj*tri*trj - 10059589/15552*cA^3*cR1 + 473903/7776*cA^3*nli*tri - 350227/3888*cA^4 - 60*z5*NA^-1*nli*dFA4i - 640*z5*cR1^4 + 170*z5*dFA4R1*NR1^-1 + 1440*z5*cA*cR1^3 - 160*z5*cA*nli*tri*cR1^2 + 120*z5*cA*nli*cfi^2*tri - 790*z5*cA^2*cR1^2 + 80*z5*cA^2*nli*tri*cR1 - 60*z5*cA^2*nli*cfi*tri + 1865/12*z5*cA^3*cR1 - 55*z5*cA^3*nli*tri + 5125/96*z5*cA^4 - 24*z4*cA*nli*tri*cR1^2 - 12*z4*cA*nli*cfi*tri*cR1 - 24*z4*cA*nli*nlj*cfj*tri*trj + 66*z4*cA^2*cR1^2 + 25*z4*cA^2*nli*tri*cR1 + 63*z4*cA^2*nli*cfi*tri + 18*z4*cA^2*nli*nlj*tri*trj - 173/4*z4*cA^3*cR1 - 387/8*z4*cA^3*nli*tri + 111/32*z4*cA^4 + 48*z3*NA^-1*nli*dFA4i + 400*z3*cR1^4 - 190*z3*dFA4R1*NR1^-1 + 16*z3*nli*tri*cR1^3 + 48*z3*nli*cfi*tri*cR1^2 + 32*z3*nli*nlj*cfj*tri*trj*cR1 - 848*z3*cA*cR1^3 + 112*z3*cA*nli*tri*cR1^2 - 156*z3*cA*nli*cfi*tri*cR1 - 74*z3*cA*nli*cfi^2*tri - 112/3*z3*cA*nli*nlj*tri*trj*cR1 + 40*z3*cA*nli*nlj*cfj*tri*trj - 32/9*z3*cA*nli*nlj*nlk*tri*trj*trk + 214*z3*cA^2*cR1^2 + 119/3*z3*cA^2*nli*tri*cR1 - 102*z3*cA^2*nli*cfi*tri - 94/3*z3*cA^2*nli*nlj*tri*trj + 1489/24*z3*cA^3*cR1 + 3311/24*z3*cA^3*nli*tri - 2959/72*z3*cA^4 + xi*dFA4R1*NR1^-1 - 767/12*xi*cA*nli*cfi*tri*cR1 - 1076/243*xi*cA*nli*nlj*tri*trj*cR1 + 3*xi*cA^2*cR1^2 - 48865/3888*xi*cA^2*nli*tri*cR1 - 863/48*xi*cA^2*nli*cfi*tri - 1229/972*xi*cA^2*nli*nlj*tri*trj + 2127929/31104*xi*cA^3*cR1 - 35345/7776*xi*cA^3*nli*tri + 1539403/62208*xi*cA^4 - 70*xi*z5*dFA4R1*NR1^-1 + 5*xi*z5*cA^2*cR1^2 - 665/24*xi*z5*cA^3*cR1 - 55/8*xi*z5*cA^4 + 12*xi*z4*cA*nli*cfi*tri*cR1 - 15/2*xi*z4*cA^2*nli*tri*cR1 + 3*xi*z4*cA^2*nli*cfi*tri - 87/16*xi*z4*cA^3*cR1 - 13/8*xi*z4*cA^3*nli*tri - 73/32*xi*z4*cA^4 + 48*xi*z3*dFA4R1*NR1^-1 + 44*xi*z3*cA*nli*cfi*tri*cR1 + 16/3*xi*z3*cA*nli*nlj*tri*trj*cR1 - 7/2*xi*z3*cA^2*cR1^2 - 118/3*xi*z3*cA^2*nli*tri*cR1 + 14*xi*z3*cA^2*nli*cfi*tri + 4/3*xi*z3*cA^2*nli*nlj*tri*trj + 1013/24*xi*z3*cA^3*cR1 - 37/3*xi*z3*cA^3*nli*tri + 389/32*xi*z3*cA^4 + 109/72*xi^2*cA^2*nli*tri*cR1 - 13883/1152*xi^2*cA^3*cR1 + 43/64*xi^2*cA^3*nli*tri - 3823/768*xi^2*cA^4 + 5*xi^2*z5*dFA4R1*NR1^-1 + 5/3*xi^2*z5*cA^3*cR1 - 35/256*xi^2*z5*cA^4 - 1/4*xi^2*z4*cA^2*nli*tri*cR1 + 43/32*xi^2*z4*cA^3*cR1 - 1/16*xi^2*z4*cA^3*nli*tri + 49/128*xi^2*z4*cA^4 + 7*xi^2*z3*dFA4R1*NR1^-1 + 7/6*xi^2*z3*cA^2*nli*tri*cR1 - 253/32*xi^2*z3*cA^3*cR1 + 1/6*xi^2*z3*cA^3*nli*tri - 1267/768*xi^2*z3*cA^4 + 263/96*xi^3*cA^3*cR1 + 1657/1536*xi^3*cA^4 + 5/2*xi^3*z5*dFA4R1*NR1^-1 + 5/24*xi^3*z5*cA^3*cR1 + 325/1536*xi^3*z5*cA^4 - 3/32*xi^3*z4*cA^3*cR1 - 3/128*xi^3*z4*cA^4 - 5*xi^3*z3*dFA4R1*NR1^-1 + 65/96*xi^3*z3*cA^3*cR1 + 3/128*xi^3*z3*cA^4 - 19/64*xi^4*cA^3*cR1 - 15/128*xi^4*cA^4 - 5/8*xi^4*z5*dFA4R1*NR1^-1 - 5/96*xi^4*z5*cA^3*cR1 - 115/3072*xi^4*z5*cA^4 + 7/8*xi^4*z3*dFA4R1*NR1^-1 - 1/192*xi^4*z3*cA^3*cR1 + 37/1536*xi^4*z3*cA^4 + 21/8*dAA4*NA^-1 + 335/4*dAA4*z5*NA^-1 - 367/4*dAA4*z3*NA^-1 - 9/16*dAA4*xi*NA^-1 + 139/8*dAA4*xi*z3*NA^-1 + 3/32*dAA4*xi^2*NA^-1 - 165/32*dAA4*xi^2*z5*NA^-1 - 63/32*dAA4*xi^2*z3*NA^-1 + 65/64*dAA4*xi^3*z5*NA^-1 + 9/32*dAA4*xi^3*z3*NA^-1 - 5/128*dAA4*xi^4*z5*NA^-1 - 1/16*dAA4*xi^4*z3*NA^-1); gamma1ccg = +a*(-1/2*cA + 1/2*xi*cA) + a^2*(-3/4*cA^2 + 7/8*xi*cA^2 - 1/8*xi^2*cA^2) + a^3*(+15/8*cA^2*nli*tri - 125/32*cA^3 - 15/8*xi*cA^2*nli*tri + 309/64*xi*cA^3 - 69/64*xi^2*cA^3 + 5/32*xi^3*cA^3) + a^4*(+161/6*cA^2*nli*cfi*tri + 502/243*cA^2*nli*nlj*tri*trj + 3083/972*cA^3*nli*tri - 46945/1944*cA^4 + 155/24*z5*cA^4 - 6*z4*cA^2*nli*cfi*tri + 9/2*z4*cA^3*nli*tri - 3/8*z4*cA^4 - 16*z3*cA^2*nli*cfi*tri - 8/3*z3*cA^2*nli*nlj*tri*trj + 41/3*z3*cA^3*nli*tri - 79/12*z3*cA^4 - 161/6*xi*cA^2*nli*cfi*tri - 502/243*xi*cA^2*nli*nlj*tri*trj - 16409/3888*xi*cA^3*nli*tri + 448919/15552*xi*cA^4 - 355/48*xi*z5*cA^4 + 6*xi*z4*cA^2*nli*cfi*tri - 9/2*xi*z4*cA^3*nli*tri + 21/32*xi*z4*cA^4 + 16*xi*z3*cA^2*nli*cfi*tri + 8/3*xi*z3*cA^2*nli*nlj*tri*trj - 169/12*xi*z3*cA^3*nli*tri + 769/96*xi*z3*cA^4 + 151/144*xi^2*cA^3*nli*tri - 3383/576*xi^2*cA^4 + 135/128*xi^2*z5*cA^4 - 21/64*xi^2*z4*cA^4 + 5/12*xi^2*z3*cA^3*nli*tri - 647/384*xi^2*z3*cA^4 + 167/128*xi^3*cA^4 - 35/384*xi^3*z5*cA^4 + 3/64*xi^3*z4*cA^4 + 25/96*xi^3*z3*cA^4 - 19/128*xi^4*cA^4 - 5/192*xi^4*z5*cA^4 - 1/384*xi^4*z3*cA^4 + 35/2*dAA4*z5*NA^-1 - 17*dAA4*z3*NA^-1 - 85/4*dAA4*xi*z5*NA^-1 + 83/4*dAA4*xi*z3*NA^-1 + 75/16*dAA4*xi^2*z5*NA^-1 - 63/16*dAA4*xi^2*z3*NA^-1 - 5/8*dAA4*xi^3*z5*NA^-1 - 1/4*dAA4*xi^3*z3*NA^-1 - 5/16*dAA4*xi^4*z5*NA^-1 + 7/16*dAA4*xi^4*z3*NA^-1); (* anomalous dimension of the mass for the fermion field in the epresentation R1 *) gamma3m = +a*(-3*cR1) + a^2*(-3/2*cR1^2 + 10/3*nli*tri*cR1 - 97/6*cA*cR1) + a^3*(-129/2*cR1^3 + nli*tri*cR1^2 + 45*nli*cfi*tri*cR1 + 140/27*nli*nlj*tri*trj*cR1 + 129/4*cA*cR1^2 + 556/27*cA*nli*tri*cR1 - 11413/108*cA^2*cR1 - 48*z3*nli*cfi*tri*cR1 + 48*z3*cA*nli*tri*cR1) + a^4*(+1261/8*cR1^4 + 32*dFA4R1*NR1^-1 - 64*nli*dFF4iR1*NR1^-1 + 437/3*nli*tri*cR1^3 + 38*nli*cfi*tri*cR1^2 - 271/3*nli*cfi^2*tri*cR1 + 52/9*nli*nlj*tri*trj*cR1^2 - 460/27*nli*nlj*cfj*tri*trj*cR1 + 664/81*nli*nlj*nlk*tri*trj*trk*cR1 - 15349/12*cA*cR1^3 - 1429/9*cA*nli*tri*cR1^2 + 13106/27*cA*nli*cfi*tri*cR1 - 1342/81*cA*nli*nlj*tri*trj*cR1 + 34045/36*cA^2*cR1^2 + 65459/162*cA^2*nli*tri*cR1 - 70055/72*cA^3*cR1 + 480*z5*nli*cfi^2*tri*cR1 + 160*z5*cA*nli*tri*cR1^2 - 240*z5*cA*nli*cfi*tri*cR1 - 440*z5*cA^2*cR1^2 - 400*z5*cA^2*nli*tri*cR1 + 440*z5*cA^3*cR1 - 96*z4*nli*nlj*cfj*tri*trj*cR1 + 264*z4*cA*nli*cfi*tri*cR1 + 96*z4*cA*nli*nlj*tri*trj*cR1 - 264*z4*cA^2*nli*tri*cR1 + 336*z3*cR1^4 - 240*z3*dFA4R1*NR1^-1 + 480*z3*nli*dFF4iR1*NR1^-1 - 208*z3*nli*tri*cR1^3 - 48*z3*nli*cfi*tri*cR1^2 - 296*z3*nli*cfi^2*tri*cR1 + 160*z3*nli*nlj*cfj*tri*trj*cR1 - 128/9*z3*nli*nlj*nlk*tri*trj*trk*cR1 - 316*z3*cA*cR1^3 + 224*z3*cA*nli*tri*cR1^2 - 592*z3*cA*nli*cfi*tri*cR1 - 160*z3*cA*nli*nlj*tri*trj*cR1 + 152*z3*cA^2*cR1^2 + 2684/3*z3*cA^2*nli*tri*cR1 - 1418/9*z3*cA^3*cR1); (* beta function for coupling a=g^2/16/\[Pi]^2 *) betaa = 2* a*(a*(+2/3*nli*tri - 11/6*cA) + a^2*(+2*nli*cfi*tri + 10/3*cA*nli*tri - 17/3*cA^2) + a^3*(-nli*cfi^2*tri - 22/9*nli*nlj*cfj*tri*trj + 205/18*cA*nli*cfi*tri - 79/27*cA*nli*nlj*tri*trj + 1415/54*cA^2*nli*tri - 2857/108*cA^3) + a^4*(-256/9*NA^-1*nli*dFA4i + 352/9*NA^-1*nli*nlj*dFF4ij - 23*nli*cfi^3*tri + 152/27*nli*nlj*cfj^2*tri*trj - 92/3*nli*nlj*cfi*cfj*tri*trj - 616/243*nli*nlj*nlk*cfi*tri*trj*trk + 2102/27*cA*nli*cfi^2*tri - 8576/243*cA*nli*nlj*cfj*tri*trj - 212/243*cA*nli*nlj*nlk*tri*trj*trk - 7073/486*cA^2*nli*cfi*tri - 3965/81*cA^2*nli*nlj*tri*trj + 39143/162*cA^3*nli*tri - 150653/972*cA^4 + 832/3*z3*NA^-1*nli*dFA4i - 256/3*z3*NA^-1*nli*nlj*dFF4ij + 64/9*z3*nli*nlj*cfj^2*tri*trj + 32*z3*nli*nlj*cfi*cfj*tri*trj - 176/9*z3*cA*nli*cfi^2*tri - 224/9*z3*cA*nli*nlj*cfj*tri*trj + 328/9*z3*cA^2*nli*cfi*tri - 112/9*z3*cA^2*nli*nlj*tri*trj - 68/3*z3*cA^3*nli*tri + 22/9*z3*cA^4 + 40/9*dAA4*NA^-1 - 352/3*dAA4*z3*NA^-1));