Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients

Abstract This is the first in a series of two papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e + e − collisions. The present paper provides a detailed outline of the strategy of computation in the framework of non-relativistic effective theory...

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Main Authors: M. Beneke, Y. Kiyo, K. Schuller
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)273
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author M. Beneke
Y. Kiyo
K. Schuller
author_facet M. Beneke
Y. Kiyo
K. Schuller
author_sort M. Beneke
collection DOAJ
description Abstract This is the first in a series of two papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e + e − collisions. The present paper provides a detailed outline of the strategy of computation in the framework of non-relativistic effective theory and the threshold expansion, applicable more generally to heavy-quark pair production near threshold. It summarizes matching coefficients and potentials relevant to the next-to-next-to-next-to-leading order and ends with the master formula for the computation of the third-order Green function. The master formula is evaluated in part II of the series.
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institution Kabale University
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publishDate 2025-07-01
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series Journal of High Energy Physics
spelling doaj-art-e9b5f90c22a743d696d7c3e3b594127c2025-08-20T04:01:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025716410.1007/JHEP07(2025)273Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficientsM. Beneke0Y. Kiyo1K. Schuller2Physik Department T31, Technische Universität MünchenDepartment of Physics, Juntendo UniversityInstitut für Theoretische Teilchenphysik und Kosmologie, RWTH Aachen UniversityAbstract This is the first in a series of two papers, in which we compute the third-order QCD corrections to top-antitop production near threshold in e + e − collisions. The present paper provides a detailed outline of the strategy of computation in the framework of non-relativistic effective theory and the threshold expansion, applicable more generally to heavy-quark pair production near threshold. It summarizes matching coefficients and potentials relevant to the next-to-next-to-next-to-leading order and ends with the master formula for the computation of the third-order Green function. The master formula is evaluated in part II of the series.https://doi.org/10.1007/JHEP07(2025)273Effective Field Theories of QCDHigher-Order Perturbative CalculationsTop Quark
spellingShingle M. Beneke
Y. Kiyo
K. Schuller
Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients
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. Part I. Effective theory set-up and matching coefficients
title_full Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients
title_fullStr Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients
title_full_unstemmed Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients
title_short Third-order correction to top-quark pair production near threshold. Part I. Effective theory set-up and matching coefficients
title_sort third order correction to top quark pair production near threshold part i effective theory set up and matching coefficients
topic Effective Field Theories of QCD
Higher-Order Perturbative Calculations
Top Quark
url https://doi.org/10.1007/JHEP07(2025)273
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AT ykiyo thirdordercorrectiontotopquarkpairproductionnearthresholdpartieffectivetheorysetupandmatchingcoefficients
AT kschuller thirdordercorrectiontotopquarkpairproductionnearthresholdpartieffectivetheorysetupandmatchingcoefficients