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Beam functions for N-jettiness at N$^3$LO in perturbative QCD

Baranowski, Daniel 1; Behring, Arnd 1; Melnikov, Kirill 1; Tancredi, Lorenzo; Wever, Christopher
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)

Abstract:

We present a calculation of all matching coefficients for N-jettiness beam functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative quantum chromodynamics (QCD). Our computation is performed starting from the respective collinear splitting kernels, which we integrate using the axial gauge. We use reverse unitarity to map the relevant phase-space integrals to loop integrals, which allows us to employ multi-loop techniques including integration-by-parts identities and differential equations. We find a canonical basis and use an algorithm to establish non-trivial partial fraction relations among the resulting master integrals, which allows us to reduce their number substantially. By use of regularity conditions, we express all necessary boundary constants in terms of an independent set, which we compute by direct integration of the corresponding integrals in the soft limit. In this way, we provide an entirely independent calculation of the matching coefficients which were previously computed in ref. [1].


Verlagsausgabe §
DOI: 10.5445/IR/1000156344
Veröffentlicht am 01.03.2023
Originalveröffentlichung
DOI: 10.1007/JHEP02(2023)073
Scopus
Zitationen: 2
Web of Science
Zitationen: 2
Dimensions
Zitationen: 3
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 1029-8479, 1126-6708, 1127-2236
KITopen-ID: 1000156344
Erschienen in Journal of High Energy Physics
Verlag Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Band 2023
Heft 2
Seiten Art.-Nr.: 73
Vorab online veröffentlicht am 07.02.2023
Schlagwörter Higher-Order Perturbative Calculations, Effective Field Theories of QCD, Factorization, Renormalization Group
Nachgewiesen in Scopus
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Web of Science
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