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

Journal Article · · Physical Review D
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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.

Research Organization:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0012704
OSTI ID:
1559076
Alternate ID(s):
OSTI ID: 1566299
Report Number(s):
BNL-212119-2019-JAAM; PRVDAQ; 034519
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 100 Journal Issue: 3; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

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Figures / Tables (28)

TABLE I(p. 7)table TABLE I
FIG. 1(p. 8)figure FIG. 1
TABLE II(p. 11)table TABLE II
FIG. 2(p. 13)figure FIG. 2
FIG. 3(p. 13)figure FIG. 3
TABLE III(p. 14)table TABLE III
TABLE IV(p. 14)table TABLE IV
FIG. 4(p. 15)figure FIG. 4
FIG. 5(p. 16)figure FIG. 5
TABLE V(p. 17)table TABLE V
TABLE VI(p. 18)table TABLE VI
FIG. 6(p. 19)figure FIG. 6
TABLE VIII(p. 27)table TABLE VIII
TABLE VIII(p. 28)table TABLE VIII
TABLE IX(p. 29)table TABLE IX
TABLE X(p. 30)table TABLE X
TABLE XI(p. 30)table TABLE XI
TABLE XII(p. 31)table TABLE XII
TABLE XIII(p. 31)table TABLE XIII
TABLE XIV(p. 32)table TABLE XIV
FIG. 7(p. 33)figure FIG. 7
FIG. 8(p. 33)figure FIG. 8
TABLE XV(p. 34)table TABLE XV
TABLE XVI(p. 35)table TABLE XVI
TABLE XVII(p. 35)table TABLE XVII
FIG. 9(p. 36)figure FIG. 9
TABLE XVIII(p. 36)table TABLE XVIII
FIG. 10(p. 37)figure FIG. 10

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