Three-loop helicity amplitudes for four-quark scattering in massless QCD
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866913571315646464 |
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| author | Caola, Fabrizio Chakraborty, Amlan Gambuti, Giulio von Manteuffel, Andreas Tancredi, Lorenzo |
| author_facet | Caola, Fabrizio Chakraborty, Amlan Gambuti, Giulio von Manteuffel, Andreas Tancredi, Lorenzo |
| contents | We compute the three-loop corrections to the helicity amplitudes for $q\bar{q}\to Q\bar{Q}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_00055 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Three-loop helicity amplitudes for four-quark scattering in massless QCD Caola, Fabrizio Chakraborty, Amlan Gambuti, Giulio von Manteuffel, Andreas Tancredi, Lorenzo High Energy Physics - Phenomenology High Energy Physics - Theory We compute the three-loop corrections to the helicity amplitudes for $q\bar{q}\to Q\bar{Q}$ 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. |
| title | Three-loop helicity amplitudes for four-quark scattering in massless QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2108.00055 |