Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD

Bazavov, A.; Bernard, C.; Brambilla, N.; Brown, N.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Komijani, J.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R. L.; Toussaint, D.; Vairo, A.; Van de Water, R. S.

doi:10.1103/PhysRevD.98.054517

Title: Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD

Journal Article · Thu Sep 27 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.054517· OSTI ID:1474191

Bazavov, A.; Bernard, C.; Brambilla, N.; Brown, N.; DeTar, C.; El-Khadra, A. X.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Komijani, J.; Kronfeld, A. S.; Laiho, J.; Mackenzie, P. B.; Neil, E. T.; Simone, J. N.; Sugar, R. L.; Toussaint, D.; Vairo, A.; Van de Water, R. S.

Here, we calculate the up-, down-, strange-, charm-, and bottom-quark masses using the MILC highly improved staggered-quark ensembles with four flavors of dynamical quarks. We use ensembles at six lattice spacings ranging from a≈0.15 to 0.03 fm and with both physical and unphysical values of the two light and the strange sea-quark masses. We use a new method based on heavy-quark effective theory (HQET) to extract quark masses from heavy-light pseudoscalar meson masses. Combining our analysis with our separate determination of ratios of light-quark masses we present masses of the up, down, strange, charm, and bottom quarks. Our results for the $$ \overline{MS}\ $$-renormalized masses are m_u(2 GeV)=2.130(41) MeV, m_d(2 GeV)=4.675(56) MeV, m_s(2 GeV)=92.47(69) MeV, m_c(3 GeV)=983.7(5.6) MeV, and m_c(m_c)=1273(10) MeV, with four active flavors; and m_b(m_b)=4195(14) MeV with five active flavors. We also obtain ratios of quark masses m_c/m_s=11.783(25), m_b/m_s=53.94(12), and m_b/m_c=4.578(8). The result for m_c matches the precision of the most precise calculation to date, and the other masses and all quoted ratios are the most precise to date. Moreover, these results are the first with a perturbative accuracy of α $\frac{4}{s}$ . As byproducts of our method, we obtain the matrix elements of HQET operators with dimension 4 and 5: $$ \overline{Λ}\ $$_MRS=555(31) MeV in the minimal renormalon-subtracted (MRS) scheme, μ $\frac{2}{π}$ =0.05(22) GeV², and μ $\frac{2}{G}$ (m_b)=0.38(2) GeV². The MRS scheme is the key new aspect of our method.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Fermilab Lattice, MILC, and TUMQCD Collaborations

Grant/Contract Number:: AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FG02-13ER42001; SC0015655; SC0010005; FG02-13ER41976; SC0012704; AC02-07CH11359

OSTI ID:: 1474191

Alternate ID(s):: OSTI ID: 1422192

Report Number(s):: arXiv:1802.04248; FERMILAB-PUB-17-492-T; TUM-EFT-107-18; FERMILAB-PUB-17/492-T; TUM-EFT-107/18; PRVDAQ; 054517

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 56 works

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