Third-order correction to top-quark pair production near threshold II. Potential contributions
Abstract We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the top-antitop threshold production process in next-to-next-to-...
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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)274 |
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| author | M. Beneke Y. Kiyo |
| author_facet | M. Beneke Y. Kiyo |
| author_sort | M. Beneke |
| collection | DOAJ |
| description | Abstract We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the top-antitop threshold production process in next-to-next-to-next-to-leading (NNNLO) order and to the determination of the bottom-quark mass from high-moment sum rules, and have been employed in corresponding previous publications. Further to the third-order calculation, we discuss in detail three refinements necessary to obtain reliable third-order results for the top threshold: finite-width effects, pole resummation, and the implementation of the potential-subtracted mass scheme. A detailed numerical analysis of residual scale dependence and the size of various contributions to the top production cross section is provided. The S-wave energy levels and wave functions at the origin for heavy quarkonium states of arbitrary principal quantum number n are collected in an appendix. |
| format | Article |
| id | doaj-art-da39da9506124ac8af3d5fe1fe0e470b |
| 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-da39da9506124ac8af3d5fe1fe0e470b2025-08-20T03:42:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025719810.1007/JHEP07(2025)274Third-order correction to top-quark pair production near threshold II. Potential contributionsM. Beneke0Y. Kiyo1Physik Department T31, Technische Universität MünchenDepartment of Physics, Juntendo UniversityAbstract We provide a detailed account of the methods and calculations for the third-order corrections to the S-wave Green function from heavy-quark potentials other than the Coulomb potential. The results of this paper are relevant to the top-antitop threshold production process in next-to-next-to-next-to-leading (NNNLO) order and to the determination of the bottom-quark mass from high-moment sum rules, and have been employed in corresponding previous publications. Further to the third-order calculation, we discuss in detail three refinements necessary to obtain reliable third-order results for the top threshold: finite-width effects, pole resummation, and the implementation of the potential-subtracted mass scheme. A detailed numerical analysis of residual scale dependence and the size of various contributions to the top production cross section is provided. The S-wave energy levels and wave functions at the origin for heavy quarkonium states of arbitrary principal quantum number n are collected in an appendix.https://doi.org/10.1007/JHEP07(2025)274Effective Field Theories of QCDHigher-Order Perturbative CalculationsTop Quark |
| spellingShingle | M. Beneke Y. Kiyo Third-order correction to top-quark pair production near threshold II. Potential contributions Journal of High Energy Physics Effective Field Theories of QCD Higher-Order Perturbative Calculations Top Quark |
| title | Third-order correction to top-quark pair production near threshold II. Potential contributions |
| title_full | Third-order correction to top-quark pair production near threshold II. Potential contributions |
| title_fullStr | Third-order correction to top-quark pair production near threshold II. Potential contributions |
| title_full_unstemmed | Third-order correction to top-quark pair production near threshold II. Potential contributions |
| title_short | Third-order correction to top-quark pair production near threshold II. Potential contributions |
| title_sort | third order correction to top quark pair production near threshold ii potential contributions |
| topic | Effective Field Theories of QCD Higher-Order Perturbative Calculations Top Quark |
| url | https://doi.org/10.1007/JHEP07(2025)274 |
| work_keys_str_mv | AT mbeneke thirdordercorrectiontotopquarkpairproductionnearthresholdiipotentialcontributions AT ykiyo thirdordercorrectiontotopquarkpairproductionnearthresholdiipotentialcontributions |