PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Quark mass RG-running for $N_f=3$ QCD in a $\chi$SF setup
L. Pirelli*, I. Campos Plasencia, M. Dalla Brida, G. Maria de Divitiis, A. Lytle, M. Papinutto, A. Vladikas and  Alpha Collaboration
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Pre-published on: May 16, 2022
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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 Schr\"odinger 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 Schr\"odinger 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 $\Lambda_{QCD} \lessapprox\mu\lessapprox 2~GeV$.
DOI: https://doi.org/10.22323/1.396.0364
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