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

28 Jul 2021, 13:15
15m
Oral presentation Standard Model Parameters Standard Model Parameters

Speaker

Ludovica Pirelli (INFN)

Description

We perform the complete non-perturbative running of the quark mass from hadronic to electroweak scales in $N_f = 3$ massless QCD. In the present work we use the same configuration ensembles used for a similar calculation arXiv 1802.05243, subject to Schrödinger Functional (SF) boundary conditions, whereas we use valence quarks with ($\chi$SF) boundary conditions, which results in O(a) improvement for observables after tuning of boundary counterterms. We establish the optimal tuning strategy for the critical hopping parameter $\kappa_{\rm crit}$ and the $\chi$SF boundary counterterm coefficient $z_{\rm f}$. Following the recent Alpha strategy, we work in two different energy regimes: at high energies ($\mu > $~2GeV) we use a SF-type coupling, while at low energies ($\mu < $~2GeV) a Gradient Flow (GF)-type coupling.

Primary authors

Isabel Campos Plasencia (Consejo Superior de Investigaciones Cientificas (CSIC) (ES)) Mattia Dalla Brida (CERN) Giulia Maria de Divitiis (University of Rome Tor Vergata and INFN) Dr Andrew Lytle (University of Illinois) Mauro Papinutto ("Sapienza" Universita` di Roma) Ludovica Pirelli (INFN) Tassos Vladikas

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