Journal Article

PUBDB-2024-07174

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Non-perturbative renormalisation and improvement of non-singlet tensor currents in N$_{f}$ = 3 QCD

Chimirri, L.Extern*DESY* ; Fritzsch, P. (Corresponding author)Extern* ; Heitger, J.Extern* ; Joswig, F. ; Panero, M. ; Pena, C.Extern* ; Preti, D.Extern*

2024
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP07(2024)089  doi:10.3204/PUBDB-2024-07174

Report No.: HU-EP-23/51; IFT-UAM/CSIC-23-102; MS-TP-23-42; YITP-23-109; arXiv:2309.04314

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.[graphic not available: see fulltext]

Keyword(s): flavor: 3 ; Ward identity: axial ; current: tensor ; renormalization: nonperturbative ; energy: low ; scaling: finite size ; fermion: Wilson ; renormalization group ; quantum chromodynamics ; tree approximation ; lattice ; lattice field theory ; scale dependence ; Lattice QCD ; Non-Perturbative Renormalization ; Renormalization and Regularization ; Renormalization Group

Note: 39 pages, 10 figures, 11 tables,

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Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. GRK 2149 - GRK 2149: Starke und schwache Wechselwirkung - von Hadronen zu Dunkler Materie (269952272) (269952272)
3. STRONG-2020 - The strong interaction at the frontier of knowledge: fundamental research and applications (824093) (824093)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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