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Singlet and nonsinglet three-loop massive form factors

Fael, Matteo 1; Lange, Fabian 1,2; Schönwald, Kay 1; Steinhauser, Matthias 1
1 Institut für Theoretische Teilchenphysik (TTP), Karlsruher Institut für Technologie (KIT)
2 Institut für Astroteilchenphysik (IAP), Karlsruher Institut für Technologie (KIT)

Abstract:

We consider quantum chromodynamics with external vector, axial-vector, scalar, and pseudoscalar currents and compute three-loop corrections to the corresponding vertex function taking into account massive quarks. We consider all nonsinglet contributions as well as those singlet contributions where the external current couples to a massive quark loop. We apply a seminumerical method which is based on expansions around singular and regular kinematical points. They are matched at intermediate values of the squared partonic center-of-mass energy s which allows one to cover the whole kinematic range for negative and positive values of s. Our method permits a systematic increase of the precision by varying the expansion depth and the choice of the intermediate matching points. In our current setup we have at least seven significant digits for the finite contribution of all form factors. We present our results as a combination of series expansions and interpolation functions which allows for a straightforward use in practical applications.


Verlagsausgabe §
DOI: 10.5445/IR/1000150651
Veröffentlicht am 04.10.2022
Originalveröffentlichung
DOI: 10.1103/PhysRevD.106.034029
Scopus
Zitationen: 24
Web of Science
Zitationen: 18
Dimensions
Zitationen: 22
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Astroteilchenphysik (IAP)
Institut für Theoretische Teilchenphysik (TTP)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 08.2022
Sprache Englisch
Identifikator ISSN: 2470-0010, 0556-2821, 1089-4918, 1538-4500, 1550-2368, 1550-7998, 2470-0029
KITopen-ID: 1000150651
HGF-Programm 51.11.01 (POF IV, LK 01) Teilchenphysik
Erschienen in Physical Review D
Verlag American Physical Society (APS)
Band 106
Heft 3
Seiten Art.-Nr.: 034029
Vorab online veröffentlicht am 24.08.2022
Nachgewiesen in Web of Science
Dimensions
Scopus
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