${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ MASS RATIO

INSPIRE   PDGID:
Q004MSR
The ratio is that of the $\overline{\rm{}MS}$ masses at a common scale, for four dynamical quark flavors.
VALUE DOCUMENT ID TECN
$\bf{ 11.76 {}^{+0.05}_{-0.10}}$ OUR EVALUATION  See the ideogram below.
$11.48$ $\pm0.12$ ${}^{+0.25}_{-0.19}$ 1
ALEXANDROU
2021
LATT
$11.783$ $\pm0.025$ 2
BAZAVOV
2018
LATT
$11.652$ $\pm0.065$ 3
CHAKRABORTY
2015
LATT
$11.62$ $\pm0.16$ 4
CARRASCO
2014
LATT
$11.27$ $\pm0.30$ $\pm0.26$ 5
DURR
2012
LATT
$11.85$ $\pm0.16$ 6
DAVIES
2010
LATT
• • We do not use the following data for averages, fits, limits, etc. • •
$11.747$ $\pm0.019$ ${}^{+0.059}_{-0.043}$ 7
BAZAVOV
2014A
 LATT
$12.0$ $\pm0.3$ 8
BLOSSIER
2010
LATT
1  ALEXANDROU 2021 determines the quark mass using a lattice calculation of the meson and baryon masses with a twisted mass fermion action. The simulations are carried out using 2+1+1 dynamical quarks with ${\mathit m}_{{{\mathit u}}}$ = ${\mathit m}_{{{\mathit d}}}{}\not={\mathit m}_{{{\mathit s}}}{}\not={\mathit m}_{{{\mathit c}}}$, including gauge ensembles close to the physical pion point.
2  BAZAVOV 2018 determine the quark masses using a lattice computation with staggered fermions and four active quark flavors.
3  CHAKRABORTY 2015 is a lattice QCD computation on gluon field configurations with 2+1+1 dynamical flavors of HISQ quarks with u/d masses down to the physical value. ${\mathit m}_{{{\mathit c}}}$ and ${\mathit m}_{{{\mathit s}}}$ are tuned from pseudoscalar meson masses.
4  CARRASCO 2014 is a lattice QCD computation of light quark masses using 2 + 1 + 1 dynamical quarks, with ${{\mathit m}_{{u}}}$ = ${{\mathit m}_{{d}}}{}\not=$ ${{\mathit m}_{{s}}}{}\not=$ ${{\mathit m}_{{c}}}$. The ${\mathit {\mathit u}}$ and ${\mathit {\mathit d}}$ quark masses are obtained separately by using the ${{\mathit K}}$ meson mass splittings and lattice results for the electromagnetic contributions.
5  DURR 2012 determine ${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ using a lattice computation with ${{\mathit n}_{{f}}}$ = 2 dynamical fermions. The result is combined with other determinations of ${\mathit m}_{{{\mathit c}}}$ to obtain ${\mathit m}_{{{\mathit s}}}$(2 GeV) = $97.0$ $\pm2.6$ $\pm2.5~$MeV.
6  DAVIES 2010 determine ${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ from meson masses calculated on gluon fields including ${{\mathit u}}$, ${{\mathit d}}$, and ${{\mathit s}}$ sea quarks with lattice spacing down to 0.045 fm. The Highly Improved Staggered quark formalism is used for the valence quarks.
7  BAZAVOV 2014A is a lattice computation using 4 dynamical flavors of HISQ fermions.
8  BLOSSIER 2010 determine ${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ from a computation of the hadron spectrum using ${{\mathit n}_{{f}}}$ = 2 dynamical twisted-mass Wilson fermions.

           ${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ MASS RATIO
References:
ALEXANDROU 2021
PR D104 074515 Quark masses using twisted mass fermion gauge ensembles
BAZAVOV 2018
PR D98 054517 Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
CHAKRABORTY 2015
PR D91 054508 High-Precision Quark Masses and QCD Coupling from ${{\mathit n}_{{f}}}$ = 4 Lattice QCD
BAZAVOV 2014A
PR D90 074509 Charmed and Light Pseudoscalar Meson Decay Constants from Four-flavor Lattice QCD with Physical Light Quarks
CARRASCO 2014
NP B887 19 Up, Down, Strange and Charm Quark Masses with $\mathit N_{f}$ = 2+1+1 Twisted Mass Lattice QCD
DURR 2012
PRL 108 122003 Ratio ${\mathit m}_{{{\mathit c}}}/{\mathit m}_{{{\mathit s}}}$ with Wilson Fermions
BLOSSIER 2010
PR D82 114513 Average up/down, strange, and charm Quark Masses with $\mathit N_{f}$=2 Twisted-Mass Lattice QCD
DAVIES 2010
PRL 104 132003 Precise Charm to Strange Mass Ratio and Light Quark Masses from Full Lattice QCD