Three-loop helicity amplitudes for four-quark scattering in massless QCD
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 reduc...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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Scuola Internazionale Superiore di Studi Avanzati
2021
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| _version_ | 1797056354080260096 |
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| author | Caola, F Chakraborty, A Gambuti, G von Manteuffel, A Tancredi, L |
| author_facet | Caola, F Chakraborty, A Gambuti, G von Manteuffel, A Tancredi, L |
| author_sort | Caola, F |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T19:22:13Z |
| format | Journal article |
| id | oxford-uuid:1a7d2762-c292-4927-b588-adc186d8fa13 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:22:13Z |
| publishDate | 2021 |
| publisher | Scuola Internazionale Superiore di Studi Avanzati |
| record_format | dspace |
| spelling | oxford-uuid:1a7d2762-c292-4927-b588-adc186d8fa132022-03-26T10:55:07ZThree-loop helicity amplitudes for four-quark scattering in massless QCDJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1a7d2762-c292-4927-b588-adc186d8fa13EnglishSymplectic ElementsScuola Internazionale Superiore di Studi Avanzati2021Caola, FChakraborty, AGambuti, Gvon Manteuffel, ATancredi, LWe 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. |
| spellingShingle | Caola, F Chakraborty, A Gambuti, G von Manteuffel, A Tancredi, L Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title_full | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title_fullStr | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title_full_unstemmed | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title_short | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| title_sort | three loop helicity amplitudes for four quark scattering in massless qcd |
| work_keys_str_mv | AT caolaf threeloophelicityamplitudesforfourquarkscatteringinmasslessqcd AT chakrabortya threeloophelicityamplitudesforfourquarkscatteringinmasslessqcd AT gambutig threeloophelicityamplitudesforfourquarkscatteringinmasslessqcd AT vonmanteuffela threeloophelicityamplitudesforfourquarkscatteringinmasslessqcd AT tancredil threeloophelicityamplitudesforfourquarkscatteringinmasslessqcd |