SISSA : Quark mass RG-running for $N_f=3$ QCD in a $\chi$SF setup

Pirelli, Ludovica; de Divitiis, Giulia Maria; Vladikas, Anastassios; Lytle, Andrew; Brida, Mattia Dalla; Papinutto, Mauro; Plasencia, Isabel Campos

doi:10.22323/1.396.0364

Article
Report number	arXiv:2111.15384 ; CERN-TH-2021-205
Title	Quark mass RG-running for $N_f=3$ QCD in a $\chi$SF setup
Author(s)	Pirelli, Ludovica (Rome U. ; INFN, Rome) ; Plasencia, Isabel Campos (Cantabria Inst. of Phys.) ; Brida, Mattia Dalla (CERN) ; de Divitiis, Giulia Maria (Rome U. ; INFN, Rome) ; Lytle, Andrew (Illinois U., Urbana) ; Papinutto, Mauro (Rome U. ; INFN, Rome) ; Vladikas, Anastassios (INFN, Rome)
Collaboration	ALPHA Collaboration
Publication	2022-05-16
Imprint	2021-11-30
Number of pages	7
Note	8 pages, 5 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021. Updated acknowledgements
In:	PoS LATTICE2021 (2022) 364
In:	38th International Symposium on Lattice Field Theory, Online, 26 - 30 Jul 2021, pp.364
DOI	10.22323/1.396.0364
Subject category	hep-lat ; Particle Physics - Lattice
Accelerator/Facility, Experiment	CERN ALPHA
Abstract	We compute the nonperturbative quark mass RG-running in the range $\Lambda_{QCD}\lessapprox\mu\lessapprox M_W$ for $N_f=3$ massless QCD with a mixed action approach: sea quarks are regularised using nonperturbatively $O(a)$-improved Wilson fermions with Schrödinger functional (SF) boundary conditions, employing the configurations of 1802.05243, while valence quarks are regularised using nonperturbatively $O(a)$-improved Wilson fermions with chirally rotated Schrödinger functional boundary conditions ($\chi$SF). Our result is compatible with its SF counterpart of ref.1802.05243, confirming the universality of $\chi$SF and SF in the continuum limit. We also establish the optimal tuning strategy for the critical hopping parameter $\kappa_c$ and the $\chi$SF boundary counterterm coefficient $z_{\rm f}$. We work in two energy regimes with two different definitions of the coupling: SF-coupling for 2 GeV $\lessapprox\mu\lessapprox M_W$ and GF-coupling for $\Lambda_{QCD} \lessapprox\mu\lessapprox 2 GeV$.
Copyright/License	preprint: © 2021-2025 the autor(s) (License: CC BY-NC-ND 4.0) publication: © 2022-2025 the author(s) (License: CC-BY-NC-ND-4.0)

$On the left: tuning of the boundary counterterm $\zf$ on SF and GF ensembles. The black dotted line is the perturbative result known at $O(g_0^2)$; the grey band is the result from fitting the SF data, truncated at $O(g_0^2)$. The curve is discontinuous in $\beta$ as the definitions of the coupling and the gauge actions are different in the GF and SF regimes. \\ On the right: $\SigmaPchiSF$ vs $(a/L)^2$ at $\uSF$=2.012, with and without the retuning of $\hopc$.$ $Left: fit to the step-scaling data $\SigmaPchiSF(u, a/L)$ in the high-energy regime; the transparent $L/a = 6$ data points are not included in the fit. The data points and the bands of the same colour are at a fixed value of the renormalised squared coupling $u$. Right: Fit to the step-scaling data $\SigmaP$ in the low-energy regime. The bands of the same colour are at a fixed value of $u$. The data points close to the bands are at {\it approximately} the same $u$.$ $$\sigmaP(u)$ compared with perturbation theory.$ Show more plots

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Element opprettet 2021-12-01, sist endret 2024-12-05

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