B- and D-meson leptonic decay constants from four-flavor lattice QCD

Bazavov, A.; Bernard, C.; 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, Doug; Van de Water, R. S.

doi:10.1103/PhysRevD.98.074512

Title: $B$ - and $D$ -meson leptonic decay constants from four-flavor lattice QCD

Journal Article · 29 October 2018 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.98.074512 · OSTI ID:1479610

Bazavov, A. ^[1]; Bernard, C. ^[2]; Brown, N. ^[2]; DeTar, C. ^[3]; El-Khadra, A. X. ^[4]; Gámiz, E. ^[5]; Gottlieb, Steven ^[6]; Heller, U. M. ^[7]; Komijani, J. ^[8]; Kronfeld, A. S. ^[9]; Laiho, J. ^[10]; Mackenzie, P. B. ^[11]; Neil, E. T. ^[12]; Simone, J. N. ^[11]; Sugar, R. L. ^[13]; Toussaint, Doug ^[14]; Van de Water, R. S. ^[11]

Michigan State Univ., East Lansing, MI (United States)
Washington Univ., St. Louis, MO (United States)
Univ. of Utah, Salt Lake City, UT (United States)
Univ. of Illinois, Urbana, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Univ. de Granada, Granada (Spain)
Indiana Univ., Bloomington, IN (United States)
American Physical Society, Ridge, NY (United States)
Technische Univ. Munchen, Garching (Germany); Univ. of Glasgow, Glasgow (United Kingdom)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
Syracuse Univ., Syracuse, NY (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Univ. of Colorado, Boulder, CO (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
Univ. of California, Santa Barbara, CA (United States)
Univ. of Arizona, Tucson, AZ (United States)

Here, we calculate the leptonic decay constants of heavy-light pseudoscalar mesons with charm and bottom quarks in lattice quantum chromodynamics on four-flavor QCD gauge-field configurations with dynamical $$u$$, $$d$$, $$s$$, and $$c$$ quarks. We analyze over twenty isospin-symmetric ensembles with six lattice spacings down to $$a\approx 0.03$$~fm and several values of the light-quark mass down to the physical value $$\frac{1}{2}(m_u+m_d)$$. We employ the highly-improved staggered-quark (HISQ) action for the sea and valence quarks; on the finest lattice spacings, discretization errors are sufficiently small that we can calculate the $$B$$-meson decay constants with the HISQ action for the first time directly at the physical $$b$$-quark mass. We obtain the most precise determinations to-date of the $$D$$- and $$B$$-meson decay constants and their ratios, $$f_{D^+} = 212.7(0.6)$$~MeV, $$f_{D_s} = 249.9(0.4)$$~MeV, $$f_{D_s}/f_{D^+} = 1.1749(16)$$, $$f_{B^+} = 189.4 (1.4)$$~MeV, $$f_{B_s} = 230.7(1.3)$$~MeV, $$f_{B_s}/f_{B^+} = 1.2180(47)$$, where the errors include statistical and all systematic uncertainties. Our results for the $$B$$-meson decay constants are three times more precise than the previous best lattice-QCD calculations, and bring the QCD errors in the Standard-Model predictions for the rare leptonic decays $$\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 3.64(11) \times 10^{-9}$$, $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-) = 1.00(3) \times 10^{-11}$$, and $$\overline{\mathcal{B}}(B^0 \to \mu^+\mu^-)/\overline{\mathcal{B}}(B_s \to \mu^+\mu^-) = 0.00264(8)$$ to well below other sources of uncertainty. As a byproduct of our analysis, we also update our previously published results for the light-quark-mass ratios and the scale-setting quantities $$f_{p4s}$$, $$M_{p4s}$$, and $$R_{p4s}$$. We obtain the most precise lattice-QCD determination to date of the ratio $$f_{K^+}/f_{\pi^+} = 1.1950(^{+16}_{-23})$$~MeV.

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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 and MILC Collaborations

Grant/Contract Number:: AC02-07CH11359; AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FG02-13ER42001; SC0015655; SC0010005; FG02-13ER41976; SC0009998; SC0012704

OSTI ID:: 1479610

Alternate ID(s):: OSTI ID: 1423226

Report Number(s):: arXiv:1712.09262; FERMILAB-PUB-17/491-T; PRVDAQ; 1644910

Journal Information:: Physical Review D, Vol. 98, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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