Non-perturbative renormalisation and improvement of non-singlet tensor currents in Nf = 3 QCD
Articolo
Data di Pubblicazione:
2024
Abstract:
Hadronic matrix elements involving tensor currents play an important role 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) Schr & ouml;dinger 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.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Lattice QCD; Non-Perturbative Renormalization; Renormalization and Regularization; Renormalization Group
Elenco autori:
Chimirri, Leonardo; Fritzsch, Patrick; Heitger, Jochen; Joswig, Fabian; Panero, Marco; Pena, Carlos; Preti, David
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