Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour
Abstract We present the first benchmark evaluation of the two-loop finite remainders for the production of a top-quark pair in association with a jet at hadron colliders in the gluon channel. We work in the leading colour approximation, and perform the numerical evaluation in the physical phase spac...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)070 |
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| author | Simon Badger Matteo Becchetti Colomba Brancaccio Heribertus Bayu Hartanto Simone Zoia |
| author_facet | Simon Badger Matteo Becchetti Colomba Brancaccio Heribertus Bayu Hartanto Simone Zoia |
| author_sort | Simon Badger |
| collection | DOAJ |
| description | Abstract We present the first benchmark evaluation of the two-loop finite remainders for the production of a top-quark pair in association with a jet at hadron colliders in the gluon channel. We work in the leading colour approximation, and perform the numerical evaluation in the physical phase space. To achieve this result, we develop a new method for expressing the master integrals in terms of a (over-complete) basis of special functions that enables the infrared and ultraviolet poles to be cancelled analytically despite the presence of elliptic Feynman integrals. The special function basis makes it manifest that the elliptic functions appear solely in the finite remainder, and can be evaluated numerically through generalised series expansions. The helicity amplitudes are constructed using four dimensional projectors combined with finite-field techniques to perform integration-by-parts reduction, mapping to special functions and Laurent expansion in the dimensional regularisation parameter. |
| format | Article |
| id | doaj-art-7c93c5268a0a4e7eae4a2e834ac9b7fc |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-7c93c5268a0a4e7eae4a2e834ac9b7fc2025-08-20T02:11:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025313210.1007/JHEP03(2025)070Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colourSimon Badger0Matteo Becchetti1Colomba Brancaccio2Heribertus Bayu Hartanto3Simone Zoia4Dipartimento di Fisica and Arnold-Regge Center, Università di Torino, and INFN, Sezione di TorinoDipartimento di Fisica e Astronomia, Università di Bologna and INFN, Sezione di BolognaDipartimento di Fisica and Arnold-Regge Center, Università di Torino, and INFN, Sezione di TorinoAsia Pacific Center for Theoretical PhysicsPhysik-Institut, Universität ZürichAbstract We present the first benchmark evaluation of the two-loop finite remainders for the production of a top-quark pair in association with a jet at hadron colliders in the gluon channel. We work in the leading colour approximation, and perform the numerical evaluation in the physical phase space. To achieve this result, we develop a new method for expressing the master integrals in terms of a (over-complete) basis of special functions that enables the infrared and ultraviolet poles to be cancelled analytically despite the presence of elliptic Feynman integrals. The special function basis makes it manifest that the elliptic functions appear solely in the finite remainder, and can be evaluated numerically through generalised series expansions. The helicity amplitudes are constructed using four dimensional projectors combined with finite-field techniques to perform integration-by-parts reduction, mapping to special functions and Laurent expansion in the dimensional regularisation parameter.https://doi.org/10.1007/JHEP03(2025)070Higher-Order Perturbative CalculationsScattering AmplitudesTop Quark |
| spellingShingle | Simon Badger Matteo Becchetti Colomba Brancaccio Heribertus Bayu Hartanto Simone Zoia Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour Journal of High Energy Physics Higher-Order Perturbative Calculations Scattering Amplitudes Top Quark |
| title | Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour |
| title_full | Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour |
| title_fullStr | Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour |
| title_full_unstemmed | Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour |
| title_short | Numerical evaluation of two-loop QCD helicity amplitudes for gg → t t ¯ g $$ gg\to t\overline{t}g $$ at leading colour |
| title_sort | numerical evaluation of two loop qcd helicity amplitudes for gg t t ¯ g gg to t overline t g at leading colour |
| topic | Higher-Order Perturbative Calculations Scattering Amplitudes Top Quark |
| url | https://doi.org/10.1007/JHEP03(2025)070 |
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