%0 Journal Article
%A Chimirri, Leonardo
%A Fritzsch, Patrick
%A Heitger, Jochen
%A Joswig, Fabian
%A Panero, Marco
%A Pena, Carlos
%A Preti, David
%T Non-perturbative renormalisation and improvement of non-singlet tensor currents in N<sub>f</sub> = 3 QCD
%J Journal of high energy physics
%V 2024
%N 7
%@ 1029-8479
%C [Trieste]
%I SISSA
%M PUBDB-2024-07174
%M arXiv:2309.04314
%M HU-EP-23/51
%M IFT-UAM/CSIC-23-102
%M MS-TP-23-42
%M YITP-23-109
%P 89
%D 2024
%Z 39 pages, 10 figures, 11 tables,
%X 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<sub>T</sub> derived from an axial Ward identity. We elaborate on various details of our calculations, including two different renormalisation conditions.[graphic not available: see fulltext]
%K flavor: 3 (INSPIRE)
%K Ward identity: axial (INSPIRE)
%K current: tensor (INSPIRE)
%K renormalization: nonperturbative (INSPIRE)
%K energy: low (INSPIRE)
%K scaling: finite size (INSPIRE)
%K fermion: Wilson (INSPIRE)
%K renormalization group (INSPIRE)
%K quantum chromodynamics (INSPIRE)
%K tree approximation (INSPIRE)
%K lattice (INSPIRE)
%K lattice field theory (INSPIRE)
%K scale dependence (INSPIRE)
%K Lattice QCD (autogen)
%K Non-Perturbative Renormalization (autogen)
%K Renormalization and Regularization (autogen)
%K Renormalization Group (autogen)
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:001282223900001
%R 10.1007/JHEP07(2024)089
%U https://bib-pubdb1.desy.de/record/618821