Non-perturbative renormalisation and improvement of non-singlet tensor currents in N f = 3 QCD

Autor: Leonardo Chimirri, Patrick Fritzsch, Jochen Heitger, Fabian Joswig, Marco Panero, Carlos Pena, David Preti
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-42 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2024)089
Popis: Abstract Hadronic matrix elements involving tensor currents play an important rôle in decays that allow to probe the consistency of the Standard Model via precision lattice QCD calculations. The non-singlet tensor current is a scale-dependent (anomalous) quantity. We fully resolve its renormalisation group (RG) running in the continuum by carrying out a recursive finite-size scaling technique. In this way ambiguities due to a perturbative RG running and matching to lattice data at low energies are eliminated. We provide the total renormalisation factor at a hadronic scale of 233 MeV, which converts the bare current into its RG-invariant form. Our calculation features three flavours of O(a) improved Wilson fermions and tree-level Symanzik-improved gauge action. We employ the (massless) Schrödinger functional renormalisation scheme throughout and present the first non-perturbative determination of the Symanzik counterterm c T derived from an axial Ward identity. We elaborate on various details of our calculations, including two different renormalisation conditions.
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