Journal Article

PUBDB-2024-06646

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Heavy Wilson quarks and O(a) improvement: nonperturbative results for b$_{g}$

Dalla Brida, M.DESY* ; Höllwieser, R.Extern* ; Knechtli, F.Extern* ; Korzec, T.Extern* ; Sint, S. ; Sommer, R.DESY* ; ALPHA Collaboration (Collaboration author)

2024
SISSA [Trieste]

This record in other databases:      

Please use a persistent id in citations: doi:10.1007/JHEP01(2024)188  doi:10.3204/PUBDB-2024-06646

Report No.: DESY-24-001; arXiv:2401.00216

Abstract: With Wilson quarks, on-shell O(a) improvement of the lattice QCD action is achieved by including the Sheikholeslami-Wohlert term and two further operators of mass dimension 5, which amount to a mass-dependent rescaling of the bare parameters. We here focus on the rescaled bare coupling, $ {\tilde{g}}_0^2={g}_0^2\left(1+{b}_{\textrm{g}}a{m}_{\textrm{q}}\right) $, and the determination of $ {b}_{\textrm{g}}\left({g}_0^2\right) $ which is currently only known to 1-loop order of perturbation theory. We derive suitable improvement conditions in the chiral limit and in a finite space-time volume and evaluate these for different gluonic observables, both with and without the gradient flow. The choice of β-values and the line of constant physics are motivated by the ALPHA collaboration’s decoupling strategy to determine α$_{s}$(m$_{Z}$) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.

Keyword(s): quark: Wilson ; dimension: 5 ; flow: gradient ; mass: operator ; quantum chromodynamics ; lattice field theory: action ; space-time ; symmetry: chiral ; decoupling ; nonperturbative ; mass dependence ; rescaling ; perturbation theory ; beta function ; coupling constant ; Algorithms and Theoretical Developments ; Lattice QCD ; Non-Perturbative Renormalization ; Standard Model Parameters

Note: J. High Energ. Phys. 2024, 188 (2024). 26 pages, 5 figures. Included additional references and fixed some typos. Matches published version The work is supported by the German Research Foundation (DFG) research unit FOR5269“Future methods for studying confined gluons in QCD”.

---

Contributing Institute(s):

1. Zeuthen Particle PhysicsTheory (Z_ZPPT)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. EuroPLEx - European network for Particle physics, Lattice field theory and Extreme computing (813942) (813942)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

---

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

---

---

Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Dalla Brida, M.DESY* ; Höllwieser, R.Extern* ; Knechtli, F.Extern* ; Korzec, T.Extern* ; Sint, S. ; Sommer, R.DESY* ; ALPHA Collaboration (Collaboration Author)
Heavy Wilson quarks and O(a) improvement: nonperturbative results for b$_{g}$
[10.3204/PUBDB-2023-07490]     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

---