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Title: Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks

We compute the leptonic decay constants f D+, f Ds , and f K+, and the quark-mass ratios m c=m s and m s=m l in unquenched lattice QCD using the experimentally determined value of f π+ for normalization. We use the MILC Highly Improved Staggered Quark (HISQ) ensembles with four dynamical quark flavors -- up, down, strange, and charm -- and with both physical and unphysical values of the light sea-quark masses. The use of physical pions removes the need for a chiral extrapolation, thereby eliminating a significant source of uncertainty in previous calculations. Four different lattice spacing ranging from a ≈ 0:06 fm to 0:15 fm are included in the analysis to control the extrapolation to the continuum limit. Our primary results are f D+ = 212:6(0:4)$$(^{+1.0}_{-1.2})$$ MeV, f Ds = 249:0(0:3)$$(^{+1.1}_{-1.5})$$ MeV, and f Ds/f D+ = 1:1712(10)$$(^{+29}_{-32})$$, where the errors are statistical and total systematic, respectively. The errors on our results for the charm decay constants and their ratio are approximately two to four times smaller than those of the most precise previous lattice calculations. We also obtain f K+/ f π+ = 1:1956(10)$$(^{+26}_{-18})$$, updating our previous result, and determine the quark-mass ratios m s/m l = 27:35(5)$$(^{+10}_{-7})$$ and m c/m s = 11:747(19)$$(^{+59}_{-43})$$. When combined with experimental measurements of the decay rates, our results lead to precise determinations of the CKM matrix elements !Vus! = 0:22487(51)(29)(20)(5), !Vcd! = 0:217(1)(5)(1) and !Vcs! = 1:010(5)(18)(6), where the errors are from this calculation of the decay constants, the uncertainty in the experimental decay rates, structure-dependent electromagnetic corrections, and, in the case of !Vus!, the uncertainty in |Vud|, respectively.
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Publication Date:
Report Number(s):
FERMILAB-PUB-14-230-T; arXiv:1407.3772
Journal ID: ISSN 1550-7998; PRVDAQ; 1306303
Grant/Contract Number:
AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; FG02-91ER40661; SC0010120; FC02-06ER41443; FG02-13ER42001; FG02-04ER-41298; FG02-13ER-41976; FC02-06ER-41439
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 90; Journal Issue: 7; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Contributing Orgs:
Fermilab Lattice and MILC Collaborations
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1296747
Alternate Identifier(s):
OSTI ID: 1213903

Bazavov, A., Bernard, C., Komijani, J., Bouchard, C. M., DeTar, C., Foley, J., Levkova, L., Du, D., Laiho, J., El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gottlieb, Steven, Heller, U. M., Kim, J., Toussaint, D., Kronfeld, A. S., Mackenzie, P. B., Simone, J. N., Van de Water, R. S., Zhou, R., Neil, E. T., and Sugar, R.. Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks. United States: N. p., Web. doi:10.1103/PhysRevD.90.074509.
Bazavov, A., Bernard, C., Komijani, J., Bouchard, C. M., DeTar, C., Foley, J., Levkova, L., Du, D., Laiho, J., El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gottlieb, Steven, Heller, U. M., Kim, J., Toussaint, D., Kronfeld, A. S., Mackenzie, P. B., Simone, J. N., Van de Water, R. S., Zhou, R., Neil, E. T., & Sugar, R.. Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks. United States. doi:10.1103/PhysRevD.90.074509.
Bazavov, A., Bernard, C., Komijani, J., Bouchard, C. M., DeTar, C., Foley, J., Levkova, L., Du, D., Laiho, J., El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gottlieb, Steven, Heller, U. M., Kim, J., Toussaint, D., Kronfeld, A. S., Mackenzie, P. B., Simone, J. N., Van de Water, R. S., Zhou, R., Neil, E. T., and Sugar, R.. 2014. "Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks". United States. doi:10.1103/PhysRevD.90.074509. https://www.osti.gov/servlets/purl/1296747.
@article{osti_1296747,
title = {Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks},
author = {Bazavov, A. and Bernard, C. and Komijani, J. and Bouchard, C. M. and DeTar, C. and Foley, J. and Levkova, L. and Du, D. and Laiho, J. and El-Khadra, A. X. and Freeland, E. D. and Gámiz, E. and Gottlieb, Steven and Heller, U. M. and Kim, J. and Toussaint, D. and Kronfeld, A. S. and Mackenzie, P. B. and Simone, J. N. and Van de Water, R. S. and Zhou, R. and Neil, E. T. and Sugar, R.},
abstractNote = {We compute the leptonic decay constants fD+, fDs , and fK+, and the quark-mass ratios mc=ms and ms=ml in unquenched lattice QCD using the experimentally determined value of fπ+ for normalization. We use the MILC Highly Improved Staggered Quark (HISQ) ensembles with four dynamical quark flavors -- up, down, strange, and charm -- and with both physical and unphysical values of the light sea-quark masses. The use of physical pions removes the need for a chiral extrapolation, thereby eliminating a significant source of uncertainty in previous calculations. Four different lattice spacing ranging from a ≈ 0:06 fm to 0:15 fm are included in the analysis to control the extrapolation to the continuum limit. Our primary results are fD+ = 212:6(0:4)$(^{+1.0}_{-1.2})$ MeV, fDs = 249:0(0:3)$(^{+1.1}_{-1.5})$ MeV, and fDs/fD+ = 1:1712(10)$(^{+29}_{-32})$, where the errors are statistical and total systematic, respectively. The errors on our results for the charm decay constants and their ratio are approximately two to four times smaller than those of the most precise previous lattice calculations. We also obtain fK+/ fπ+ = 1:1956(10)$(^{+26}_{-18})$, updating our previous result, and determine the quark-mass ratios ms/ml = 27:35(5)$(^{+10}_{-7})$ and mc/ms = 11:747(19)$(^{+59}_{-43})$. When combined with experimental measurements of the decay rates, our results lead to precise determinations of the CKM matrix elements !Vus! = 0:22487(51)(29)(20)(5), !Vcd! = 0:217(1)(5)(1) and !Vcs! = 1:010(5)(18)(6), where the errors are from this calculation of the decay constants, the uncertainty in the experimental decay rates, structure-dependent electromagnetic corrections, and, in the case of !Vus!, the uncertainty in |Vud|, respectively.},
doi = {10.1103/PhysRevD.90.074509},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 7,
volume = 90,
place = {United States},
year = {2014},
month = {10}
}