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

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arxiv 2207.03503 v1 pith:34P46GRG submitted 2022-07-07 hep-ph hep-th

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

classification hep-ph hep-th
keywords amplitudescolorhelicityreggeresultsscatteringthree-loopamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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