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

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

ALPHA

Collaboration

•

Ludovica Pirelli
(
- Rome U. and
- INFN, Rome
)

Nov 30, 2021

7 pages

Published in:

PoS LATTICE2021 (2022) 364

Contribution to:

- Lattice 2021
, 364
,
- Lattice 2021

Published: May 16, 2022

e-Print:

2111.15384 [hep-lat]

DOI:

10.22323/1.396.0364

Report number:

CERN-TH-2021-205

Experiments:

CERN-ALPHA

View in:

reference search2 citations

Citations per year

Abstract: (SISSA)

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

.

Note:

8 pages, 5 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021. Updated acknowledgements

fermion: Wilson
quark: mass
quark: sea
quark: valence
quantum chromodynamics: massless
regularization
GeV
boundary condition
hopping
universality

References(13)

Figures(3)

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ALPHA

Collaboration

•

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)

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ALPHA

Collaboration

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ALPHA

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ALPHA

Collaboration

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