Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
Abstract We present the first full analytic evaluation of the scattering amplitude for the process qq → Q Q ¯ $$ Q\overline{Q} $$ up-to two loops in Quantum Chromodynamics, for a massless (q) and a massive (Q) quark flavour. The interference terms of the one- and two-loop amplitudes with the Born am...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)129 |
| _version_ | 1818020924249604096 |
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| author | Manoj K. Mandal Pierpaolo Mastrolia Jonathan Ronca William J. Torres Bobadilla |
| author_facet | Manoj K. Mandal Pierpaolo Mastrolia Jonathan Ronca William J. Torres Bobadilla |
| author_sort | Manoj K. Mandal |
| collection | DOAJ |
| description | Abstract We present the first full analytic evaluation of the scattering amplitude for the process qq → Q Q ¯ $$ Q\overline{Q} $$ up-to two loops in Quantum Chromodynamics, for a massless (q) and a massive (Q) quark flavour. The interference terms of the one- and two-loop amplitudes with the Born amplitude, decomposed in terms of gauge invariant form factors depending on the colour and flavour structure, are analytically calculated by keeping complete dependence on the squared center-of-mass energy, the squared momentum transfer, and the heavy-quark mass. The results are expressed as Laurent series around four space-time dimensions, with coefficients given in terms of generalised polylogarithms and transcendental constants up-to weight four. Our results validate the known, purely numerical calculations of the squared amplitude, and extend the analytic knowledge, previously limited to a subset of form factors, to their whole set, coming from both planar and non-planar diagrams, up-to the second order corrections in the strong coupling constant. |
| first_indexed | 2024-04-14T08:12:00Z |
| format | Article |
| id | doaj.art-9d12fdae628645e1bc058ba38daf7ff8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T08:12:00Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9d12fdae628645e1bc058ba38daf7ff82022-12-22T02:04:32ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912810.1007/JHEP09(2022)129Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCDManoj K. Mandal0Pierpaolo Mastrolia1Jonathan Ronca2William J. Torres Bobadilla3INFN, Sezione di PadovaINFN, Sezione di PadovaDipartimento di Fisica, Università di Napoli Federico II, and INFN, Sezione di NapoliMax-Planck-Institut für Physik, Werner-Heisenberg-InstitutAbstract We present the first full analytic evaluation of the scattering amplitude for the process qq → Q Q ¯ $$ Q\overline{Q} $$ up-to two loops in Quantum Chromodynamics, for a massless (q) and a massive (Q) quark flavour. The interference terms of the one- and two-loop amplitudes with the Born amplitude, decomposed in terms of gauge invariant form factors depending on the colour and flavour structure, are analytically calculated by keeping complete dependence on the squared center-of-mass energy, the squared momentum transfer, and the heavy-quark mass. The results are expressed as Laurent series around four space-time dimensions, with coefficients given in terms of generalised polylogarithms and transcendental constants up-to weight four. Our results validate the known, purely numerical calculations of the squared amplitude, and extend the analytic knowledge, previously limited to a subset of form factors, to their whole set, coming from both planar and non-planar diagrams, up-to the second order corrections in the strong coupling constant.https://doi.org/10.1007/JHEP09(2022)129Higher-Order Perturbative CalculationsTop Quark |
| spellingShingle | Manoj K. Mandal Pierpaolo Mastrolia Jonathan Ronca William J. Torres Bobadilla Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD Journal of High Energy Physics Higher-Order Perturbative Calculations Top Quark |
| title | Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD |
| title_full | Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD |
| title_fullStr | Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD |
| title_full_unstemmed | Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD |
| title_short | Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD |
| title_sort | two loop scattering amplitude for heavy quark pair production through light quark annihilation in qcd |
| topic | Higher-Order Perturbative Calculations Top Quark |
| url | https://doi.org/10.1007/JHEP09(2022)129 |
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