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, g~02=g02(1+bgamq) , and the determination of bg(g02) 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 αs(mZ) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.

Dallabrida, M., Höllwieser, R., Knechtli, F., Korzec, T., Sint, S., Sommer, R. (2024). Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g. JOURNAL OF HIGH ENERGY PHYSICS, 2024(1) [10.1007/JHEP01(2024)188].

Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g

Dallabrida, M
;
2024

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, g~02=g02(1+bgamq) , and the determination of bg(g02) 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 αs(mZ) [1]. However, the improvement conditions and some insight into systematic effects may prove useful in other contexts, too.
Articolo in rivista - Articolo scientifico
Algorithms and Theoretical Developments; Lattice QCD; Non-Perturbative Renormalization; Standard Model Parameters;
English
31-gen-2024
2024
2024
1
188
open
Dallabrida, M., Höllwieser, R., Knechtli, F., Korzec, T., Sint, S., Sommer, R. (2024). Heavy Wilson quarks and O(a) improvement: nonperturbative results for b g. JOURNAL OF HIGH ENERGY PHYSICS, 2024(1) [10.1007/JHEP01(2024)188].
File in questo prodotto:
File Dimensione Formato  
Dallabrida-2024-Journal of High Energy Physics-VoR.pdf

accesso aperto

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Licenza: Creative Commons
Dimensione 508.05 kB
Formato Adobe PDF
508.05 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/482581
Citazioni
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
Social impact