TY  - JOUR
AU  - Chimirri, Leonardo
AU  - Fritzsch, Patrick
AU  - Heitger, Jochen
AU  - Joswig, Fabian
AU  - Panero, Marco
AU  - Pena, Carlos
AU  - Preti, David
TI  - Non-perturbative renormalisation and improvement of non-singlet tensor currents in N<sub>f</sub> = 3 QCD
JO  - Journal of high energy physics
VL  - 2024
IS  - 7
SN  - 1029-8479
CY  - [Trieste]
PB  - SISSA
M1  - PUBDB-2024-07174
M1  - arXiv:2309.04314
M1  - HU-EP-23/51
M1  - IFT-UAM/CSIC-23-102
M1  - MS-TP-23-42
M1  - YITP-23-109
SP  - 89
PY  - 2024
N1  - 39 pages, 10 figures, 11 tables,
AB  - 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]
KW  - flavor: 3 (INSPIRE)
KW  - Ward identity: axial (INSPIRE)
KW  - current: tensor (INSPIRE)
KW  - renormalization: nonperturbative (INSPIRE)
KW  - energy: low (INSPIRE)
KW  - scaling: finite size (INSPIRE)
KW  - fermion: Wilson (INSPIRE)
KW  - renormalization group (INSPIRE)
KW  - quantum chromodynamics (INSPIRE)
KW  - tree approximation (INSPIRE)
KW  - lattice (INSPIRE)
KW  - lattice field theory (INSPIRE)
KW  - scale dependence (INSPIRE)
KW  - Lattice QCD (autogen)
KW  - Non-Perturbative Renormalization (autogen)
KW  - Renormalization and Regularization (autogen)
KW  - Renormalization Group (autogen)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:001282223900001
DO  - DOI:10.1007/JHEP07(2024)089
UR  - https://bib-pubdb1.desy.de/record/618821
ER  -