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Three-loop helicity amplitudes for four-quark scattering in massless QCD

Abstract:
We compute the three-loop corrections to the helicity amplitudes for qq¯¯ → QQ¯¯¯¯ scattering in massless QCD. In the Lorentz decomposition of the scattering amplitude we avoid evanescent Lorentz structures and map the corresponding form factors directly to the physical helicity amplitudes. We reduce the amplitudes to master integrals and express them in terms of harmonic polylogarithms. The renormalised amplitudes exhibit infrared divergences of dipole and quadrupole type, as predicted by previous work on the infrared structure of multileg scattering amplitudes. We derive the finite remainders and present explicit results for all relevant partonic channels, both for equal and different quark flavours.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/jhep10(2021)206

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author


Publisher:
Scuola Internazionale Superiore di Studi Avanzati
Journal:
Journal of High Energy Physics More from this journal
Volume:
2021
Issue:
10
Article number:
206
Publication date:
2021-10-26
Acceptance date:
2021-09-30
DOI:
EISSN:
1029-8479
ISSN:
1126-6708


Language:
English
Keywords:
Pubs id:
1209882
Local pid:
pubs:1209882
Deposit date:
2021-11-15

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