High-precision quark masses and QCD coupling from nf=4n_f=4 lattice QCD

Aug 18, 2014
19 pages
Published in:
  • Phys.Rev.D 91 (2015) 5, 054508
  • Published: Mar 17, 2015
e-Print:

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Abstract: (APS)

We present a new lattice QCD analysis of heavy-quark pseudoscalar-pseudoscalar correlators, using gluon configurations from the MILC Collaboration that include vacuum polarization from u, d, s, and c quarks (nf=4). We extract new values for the QCD coupling and for the c quark’s MS¯ mass: αMS¯(MZ,nf=5)=0.11822(74) and mc(3GeV,nf=4)=0.9851(63)GeV. These agree well with our earlier simulations using nf=3 sea quarks, vindicating the perturbative treatment of c quarks in that analysis. We also obtain a new nonperturbative result for the ratio of c and s quark masses: mc/ms=11.652(65). This ratio implies ms(2GeV,nf=3)=93.6(8)MeV when it is combined with our new c mass. Combining mc/ms with our earlier mb/mc gives mb/ms=52.55(55), which is several standard deviations (but only 4%) away from the Georgi-Jarlskop prediction from certain grand unified theories. Finally we obtain an nf=4 estimate for mb/mc=4.528(54) which agrees well with our earlier nf=3 result. The new ratio implies mb(mb,nf=5)=4.162(48)GeV.

Note:
  • 16 pages, 9 figures, 6 tables
  • 11.15.Ha
  • 12.38.Aw
  • 12.38.Gc
  • quark: mass: calculated
  • heavy quark: mass
  • quark: sea
  • quantum chromodynamics: lattice
  • lattice field theory
  • correlation function
  • grand unified theory
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