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

Chimirri, Leonardo; Fritzsch, Patrick; Heitger, Jochen; Joswig, Fabian; Panero, Marco; Pena, Carlos; Preti, David

doi:10.1007/JHEP07(2024)089

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

Leonardo Chimirri
(
- Humboldt U., Berlin and
- NIC, Zeuthen
)
,
Patrick Fritzsch
(
- Trinity Coll., Dublin
)
,
Jochen Heitger
(
- Munster U., ITP and
- Kyoto U., Yukawa Inst., Kyoto
)
,
Fabian Joswig
(
- Edinburgh U.
)
,
Marco Panero
(
- Turin U. and
- INFN, Turin
)

Sep 8, 2023

39 pages

Published in:

JHEP 07 (2024) 089

Published: Jul 10, 2024

e-Print:

2309.04314 [hep-lat]

DOI:

10.1007/JHEP07(2024)089

Report number:

HU-EP-23/51,
IFT-UAM/CSIC-23-102,
MS-TP-23-42,
YITP-23-109

View in:

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Abstract: (Springer)

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.[graphic not available: see fulltext]

Note:

39 pages, 10 figures, 11 tables,

Lattice QCD
Non-Perturbative Renormalization
Renormalization and Regularization
Renormalization Group
flavor: 3
Ward identity: axial
current: tensor
renormalization: nonperturbative
energy: low
scaling: finite size

References(105)

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