Journal Article PUBDB-2021-04383

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Quark masses using twisted-mass fermion gauge ensembles

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2021
Inst. Melville, NY

Physical review / D 104(7), 074515 () [10.1103/PhysRevD.104.074515]
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Report No.: arXiv:2104.13408

Abstract: We present a calculation of the up, down, strange, and charm quark masses performed within the lattice QCD framework. We use the twisted-mass fermion action and carry out simulations that include in the sea two light mass-degenerate quarks, as well as the strange and charm quarks. In the analysis, we use gauge ensembles simulated at three values of the lattice spacing and with light quarks that correspond to pion masses in the range from 350 MeV to the physical value, while the strange and charm quark masses are tuned approximately to their physical values. We use several quantities to set the scale in order to check for finite lattice spacing effects, and in the continuum limit, we get compatible results. The quark mass renormalization is carried out nonperturbatively using the (modified) Regularization Independent Momentum Subtraction (RI′-MOM) method converted into the $\overline{MS}$ scheme. For the determination of the quark masses, we use physical observables from both the meson and the baryon sectors, obtaining $m_{ud}$=3.636(66)($_{-57}^{+60}$) MeV and $m_s$=98.7(2.4)($_{-3.2}^{+4.0}$) MeV in the $\overline{MS}$(2 GeV) scheme and $m_c$=1036(17)($_{-8}^{+15}$) MeV in the $\overline{MS}$(3 GeV) scheme, where the first errors are statistical and the second ones are combinations of systematic errors. For the quark mass ratios, we get $m_s/m_{ud}$=27.17(32)($_{-38}^{+56}$) and $m_c/m_s$=11.48(12)($_{-19}^{+25}$).

Keyword(s): quark: mass ; vertex function ; fermion: mass: twist ; quark: mass ratio ; mass: renormalization ; pi: mass ; charm ; lattice ; GeV ; lattice field theory ; continuum limit ; statistical ; baryon ; meson

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Contributing Institute(s):
  1. NIC (ZEU-NIC)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2021
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 Record created 2021-11-08, last modified 2025-07-24


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