Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders
Abstract We compute a complete set of the two-loop Feynman integrals that are required for the next-to-next-to-leading order QCD corrections to on-shell top-pair production in association with a W boson at hadron colliders in the leading colour approximation. These Feynman integrals also contribute...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)001 |
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| author | Matteo Becchetti Dhimiter Canko Vsevolod Chestnov Tiziano Peraro Mattia Pozzoli Simone Zoia |
| author_facet | Matteo Becchetti Dhimiter Canko Vsevolod Chestnov Tiziano Peraro Mattia Pozzoli Simone Zoia |
| author_sort | Matteo Becchetti |
| collection | DOAJ |
| description | Abstract We compute a complete set of the two-loop Feynman integrals that are required for the next-to-next-to-leading order QCD corrections to on-shell top-pair production in association with a W boson at hadron colliders in the leading colour approximation. These Feynman integrals also contribute to Higgs or Z-boson production in association with a top pair. We employ the method of differential equations (DEs), facilitated by the use of finite field methods to handle the algebraic complexity stemming from the seven-scale kinematics. The presence of the top quark in the virtual propagators, in addition to the mass of the external W boson, gives rise to nested square roots and three elliptic curves. We obtain DEs that depend at most quadratically on the dimensional regulator ϵ for sectors where these analytic structures appear, and are ϵ-factorised otherwise. We express the DEs in terms of a minimal set of differential one-forms, separating the logarithmic ones. We solve the DEs numerically in the physical kinematic region, with the method of generalised power series expansions. |
| format | Article |
| id | doaj-art-4f91cc13339f48dcb857c301b8fa1038 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4f91cc13339f48dcb857c301b8fa10382025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713710.1007/JHEP07(2025)001Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron collidersMatteo Becchetti0Dhimiter Canko1Vsevolod Chestnov2Tiziano Peraro3Mattia Pozzoli4Simone Zoia5Dipartimento di Fisica e Astronomia, Università di Bologna, INFN, Sezione di BolognaDipartimento di Fisica e Astronomia, Università di Bologna, INFN, Sezione di BolognaDipartimento di Fisica e Astronomia, Università di Bologna, INFN, Sezione di BolognaDipartimento di Fisica e Astronomia, Università di Bologna, INFN, Sezione di BolognaDipartimento di Fisica e Astronomia, Università di Bologna, INFN, Sezione di BolognaPhysik-Institut, Universität ZürichAbstract We compute a complete set of the two-loop Feynman integrals that are required for the next-to-next-to-leading order QCD corrections to on-shell top-pair production in association with a W boson at hadron colliders in the leading colour approximation. These Feynman integrals also contribute to Higgs or Z-boson production in association with a top pair. We employ the method of differential equations (DEs), facilitated by the use of finite field methods to handle the algebraic complexity stemming from the seven-scale kinematics. The presence of the top quark in the virtual propagators, in addition to the mass of the external W boson, gives rise to nested square roots and three elliptic curves. We obtain DEs that depend at most quadratically on the dimensional regulator ϵ for sectors where these analytic structures appear, and are ϵ-factorised otherwise. We express the DEs in terms of a minimal set of differential one-forms, separating the logarithmic ones. We solve the DEs numerically in the physical kinematic region, with the method of generalised power series expansions.https://doi.org/10.1007/JHEP07(2025)001Higher-Order Perturbative CalculationsTop Quark |
| spellingShingle | Matteo Becchetti Dhimiter Canko Vsevolod Chestnov Tiziano Peraro Mattia Pozzoli Simone Zoia Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders Journal of High Energy Physics Higher-Order Perturbative Calculations Top Quark |
| title | Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders |
| title_full | Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders |
| title_fullStr | Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders |
| title_full_unstemmed | Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders |
| title_short | Two-loop Feynman integrals for leading colour t t ¯ W $$ t\overline{t}W $$ production at hadron colliders |
| title_sort | two loop feynman integrals for leading colour t t ¯ w t overline t w production at hadron colliders |
| topic | Higher-Order Perturbative Calculations Top Quark |
| url | https://doi.org/10.1007/JHEP07(2025)001 |
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