Gradient-flow scale setting with $N_f=2+1+1$ Wilson-clover twisted-mass fermions - INSPIRE

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Gradient-flow scale setting with $N_f=2+1+1$ Wilson-clover twisted-mass fermions

Bartosz Kostrzewa
(
- Bonn U.
)
,
Constantia Alexandrou
(
- Cyprus U. and
- Cyprus Inst.
)
,
Simone Bacchio
(
- Cyprus Inst.
)
,
Georg Bergner
(
- Jena U., TPI
)
,
Petros Dimopoulos
(
- Parma U. and
- INFN, Parma
)

Nov 29, 2021

10 pages

Published in:

PoS LATTICE2021 (2022) 131

Contribution to:

- Lattice 2021
, 131

Published: May 16, 2022

e-Print:

2111.14710 [hep-lat]

DOI:

10.22323/1.396.0131

View in:

ADS Abstract Service

reference search3 citations

Citations per year

Abstract: (SISSA)

We present a determination of the gradient flow scales

w_0

,

\sqrt{t_0}

and

t_0/w_0

in isosymmetric QCD, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with

N_f=2+1+1

flavours of Wilson-clover twisted-mass quarks including configurations close to the physical point for all dynamical flavours. The simulations are carried out at three values of the lattice spacing and the scale is set through the PDG value of the pion decay constant, yielding

w_0=0.17383(63)

fm,

\sqrt{t_0}=0.14436(61)

fm and

t_0/w_0=0.11969(62)

fm. Finally, fixing the kaon mass to its isosymmetric value, we determine the ratio of the kaon and pion leptonic decay constants to be

f_K/f_{\pi}=1.1995(44)

.

Note:

arXiv admin note: text overlap with arXiv:2104.06747

mass: twist
pi: leptonic decay
K: mass
pi: decay constant
flavor
flow
lattice
quantum chromodynamics
quark

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Figures(10)

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