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arXiv · 2207.03503

Three-loop helicity amplitudes for quark-gluon scattering in QCD

Fabrizio Caola·Amlan Chakraborty·Giulio Gambuti·Andreas von Manteuffel·Lorenzo Tancredi
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Abstract

We compute the three-loop helicity amplitudes for $q\bar{q} \to gg$ and its crossed partonic channels, in massless QCD. Our analytical results provide a non-trivial check of the color quadrupole contribution to the infrared poles for external states in different color representations. At high energies, the $qg \to qg$ amplitude shows the predicted factorized form from Regge theory and confirms previous results for the gluon Regge trajectory extracted from $qq' \to qq'$ and $gg \to gg$ scattering.

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Fabrizio Caola, Amlan Chakraborty, Giulio Gambuti, Andreas von Manteuffel, Lorenzo Tancredi. 2022-07-07. Three-loop helicity amplitudes for quark-gluon scattering in QCD. https://doi.org/10.1007/jhep12(2022)082

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