2-LOOP 4-GLUON AMPLITUDES IN N=4 SUPER-YANG-MILLS

Using cutting techniques we obtain the two-loop N = 4 super-Yang-Mills helicity amplitudes for four-gluon scattering in terms of scalar inte gral functions, The N = 4 amplitudes are considerably simpler than cor responding QCD amplitudes and therefore provide a testing ground for e xploring two-loop amplitudes. The amplitudes are constructed directly in terms of gauge invariant quantities and therefore remain relatively compact throughout the calculation. We also present a conjecture for the leading color four-gluon amplitudes to all orders in the perturbat ive expansion. (C) 1997 Published by Elsevier Science B.V.