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Title: Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD

Abstract

We present a determination of the strong coupling constant and heavy quark masses in (2+1)-flavor QCD using lattice calculations of the moments of the pseudo-scalar quarkonium correlators at several values of the heavy valence quark mass with Highly Improved Staggered Quark (HISQ) action. We determine the strong coupling constant in the $$\overline{MS}$$ scheme at four low-energy scales corresponding to m c, 1.5m c, 2m c, and 3m c, with m c being the charm quark mass. The novel feature of our analysis that up to eleven lattice spacings are used in the continuum extrapolations, with the smallest lattice spacing being 0.025 fm. We obtain Λ$$\frac{n_{f} =3}{MS}$$= 298 ± 16 MeV, which is equivalent to α s(μ = M Z, n f = 5) = 0.1159(12). For the charm and bottom quark masses in the $$\overline{MS}$$ scheme, we obtain: m c(μ = m c, n f = 4) = 1.265(10) GeV and mb(μ = m b, n f = 5) = 4.188(37) GeV.

Authors:
;
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1559076
Alternate Identifier(s):
OSTI ID: 1566299
Report Number(s):
BNL-212119-2019-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 034519
Grant/Contract Number:  
SC0012704
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Petreczky, P., and Weber, J. H. Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.034519.
Petreczky, P., & Weber, J. H. Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD. United States. doi:10.1103/PhysRevD.100.034519.
Petreczky, P., and Weber, J. H. Tue . "Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD". United States. doi:10.1103/PhysRevD.100.034519.
@article{osti_1559076,
title = {Strong coupling constant and heavy quark masses in ( 2 + 1 )-flavor QCD},
author = {Petreczky, P. and Weber, J. H.},
abstractNote = {We present a determination of the strong coupling constant and heavy quark masses in (2+1)-flavor QCD using lattice calculations of the moments of the pseudo-scalar quarkonium correlators at several values of the heavy valence quark mass with Highly Improved Staggered Quark (HISQ) action. We determine the strong coupling constant in the $\overline{MS}$ scheme at four low-energy scales corresponding to mc, 1.5mc, 2mc, and 3mc, with mc being the charm quark mass. The novel feature of our analysis that up to eleven lattice spacings are used in the continuum extrapolations, with the smallest lattice spacing being 0.025 fm. We obtain Λ$\frac{n_{f} =3}{MS}$= 298 ± 16 MeV, which is equivalent to αs(μ = MZ, nf = 5) = 0.1159(12). For the charm and bottom quark masses in the $\overline{MS}$ scheme, we obtain: mc(μ = mc, nf = 4) = 1.265(10) GeV and mb(μ = mb, nf = 5) = 4.188(37) GeV.},
doi = {10.1103/PhysRevD.100.034519},
journal = {Physical Review D},
issn = {2470-0010},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.100.034519

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

TABLE I TABLE I: The lattice gauge couplings, the light quark masses, the lattice sizes, the inverse lattice spacings, the spatial lattice size in fm, the bare charm quark mass, and the bare bottom quark mass used in our calculations. The upper part of the table corresponds to the lattices from Ref.more » [25], while the lower part corresponds to lattices from Ref. [11].« less

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