Two-loop QCD corrections to massless identical quark scattering

Abstract

We present the two-loop virtual QCD corrections to the scattering of massless identical quarks, q qbar to q qbar, in conventional dimensional regularisation and using the MSbar scheme. The structure of the infrared divergences agrees with that predicted by Catani while expressions for the finite remainder are given for the q qbar to qbar q and the q q to q q (qbar qbar to qbar qbar) scattering processes 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.

20 pages, journal version, title changed, latex with JHEP.cls

References in corpus (9)

• Differential Equations for Two-Loop Four-Point Functions
• A Two-Loop Four-Gluon Helicity Amplitude in QCD
• Two-loop QCD corrections to the scattering of massless distinct quarks
• The tensor reduction and master integrals of the two-loop massless crossed box with light-like legs
• Improved Approximations for the Three-Loop Splitting Functions in QCD
• The two-loop scalar and tensor pentabox graph with light-like legs
• The on-shell massless planar double box diagram with an irreducible numerator
• Using differential equations to compute two-loop box integrals
• Progress towards 2 to 2 scattering at two-loops

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