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

Abstract

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 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 2 π =0.05(22) GeV 2, and μ 2 G (m b)=0.38(2) GeV 2. The MRS scheme is the key new aspect of our method.

Authors:
 [1];  [2];  [3];  [2];  [4];  [5];  [6];  [7];  [8];  [9];  [10];  [11];  [12];  [13];  [12];  [14];  [15];  [3];  [12]
  1. Michigan State Univ., East Lansing, MI (United States)
  2. Washington Univ., St. Louis, MO (United States)
  3. Technische Univ. Munchen, Garching (Germany)
  4. Univ. of Utah, Salt Lake City, UT (United States)
  5. Univ. of Illinois, Urbana, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  6. Univ. de Granada, Granada (Spain)
  7. Indiana Univ., Bloomington, IN (United States)
  8. American Physical Society, Ridge, NY (United States)
  9. Technische Univ. Munchen, Garching (Germany); Univ. of Glasgow, Glasgow (United Kingdom)
  10. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
  11. Syracuse Univ., Syracuse, NY (United States)
  12. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  13. Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  14. Univ. of California, Santa Barbara, CA (United States)
  15. Univ. of Arizona, Tucson, AZ (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Org.:
Fermilab Lattice, MILC, and TUMQCD Collaborations
OSTI Identifier:
1474191
Alternate Identifier(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
Journal ID: ISSN 2470-0010; PRVDAQ; 1654552
Grant/Contract Number:  
AC02-07CH11359; AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FG02-13ER42001; SC0015655; SC0010005; FG02-13ER41976; SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Bazavov, A., Bernard, C., Brambilla, Nora, Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, Javad, Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, Doug, Vairo, Antonio, and Van de Water, R. S. Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.054517.
Bazavov, A., Bernard, C., Brambilla, Nora, Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, Javad, Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, Doug, Vairo, Antonio, & Van de Water, R. S. Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD. United States. doi:10.1103/PhysRevD.98.054517.
Bazavov, A., Bernard, C., Brambilla, Nora, Brown, N., DeTar, C., El-Khadra, A. X., Gámiz, E., Gottlieb, Steven, Heller, U. M., Komijani, Javad, Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J. N., Sugar, R. L., Toussaint, Doug, Vairo, Antonio, and Van de Water, R. S. Thu . "Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD". United States. doi:10.1103/PhysRevD.98.054517.
@article{osti_1474191,
title = {Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD},
author = {Bazavov, A. and Bernard, C. and Brambilla, Nora and Brown, N. and DeTar, C. and El-Khadra, A. X. and Gámiz, E. and Gottlieb, Steven and Heller, U. M. and Komijani, Javad and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. N. and Sugar, R. L. and Toussaint, Doug and Vairo, Antonio and Van de Water, R. S.},
abstractNote = {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 mu(2 GeV)=2.130(41) MeV, md(2 GeV)=4.675(56) MeV, ms(2 GeV)=92.47(69) MeV, mc(3 GeV)=983.7(5.6) MeV, and mc(mc)=1273(10) MeV, with four active flavors; and mb(mb)=4195(14) MeV with five active flavors. We also obtain ratios of quark masses mc/ms=11.783(25), mb/ms=53.94(12), and mb/mc=4.578(8). The result for mc 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 α4s. 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, μ2π=0.05(22) GeV2, and μ2G(mb)=0.38(2) GeV2. The MRS scheme is the key new aspect of our method.},
doi = {10.1103/PhysRevD.98.054517},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.054517

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