Two-loop QCD corrections to the scattering of massless distinct quarks∗

Abstract: We present the two-loop virtual QCD corrections to the scattering of distinct massless quarks, qq̄ → qq̄, in conventional dimensional regularisation. The structure of the infrared divergences agrees with that predicted by Catani while expressions for the finite remainder are given for each of the s-, tand u-channels in terms of polylogarithms. The results presented here form a vital part of the next-to-next-to-leading order contribution to inclusive jet production in hadron colliders and will play a crucial role in improving the theoretical prediction for jet cross sections in hadron-hadron collisions.