$$B^0_{(s)}$$-mixing matrix elements from lattice QCD for the Standard Model and beyond
Abstract
We calculate—for the first time in three-flavor lattice QCD—the hadronic matrix elements of all five local operators that contribute to neutral B0- and Bs-meson mixing in and beyond the Standard Model. In this paper, we present a complete error budget for each matrix element and also provide the full set of correlations among the matrix elements. We also present the corresponding bag parameters and their correlations, as well as specific combinations of the mixing matrix elements that enter the expression for the neutral B-meson width difference. We obtain the most precise determination to date of the SU(3)-breaking ratio ξ=1.206(18)(6), where the second error stems from the omission of charm-sea quarks, while the first encompasses all other uncertainties. The threefold reduction in total uncertainty, relative to the 2013 Flavor Lattice Averaging Group results, tightens the constraint from B mixing on the Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle. Our calculation employs gauge-field ensembles generated by the MILC Collaboration with four lattice spacings and pion masses close to the physical value. We use the asqtad-improved staggered action for the light-valence quarks and the Fermilab method for the bottom quark. We use heavy-light meson chiral perturbation theory modified to include lattice-spacing effects to extrapolate the fivemore »
- Authors:
-
- Univ. of Iowa, Iowa City, IA (United States)
- Washington Univ., St. Louis, MO (United States)
- The College of William and Mary, Williamsburg, VA (United States)
- Univ. of Illinois, Urbana, IL (United States)
- Univ. of Utah, Salt Lake City, UT (United States)
- Syracuse Univ., Syracuse, NY (United States)
- School of the Art Institute of Chicago, Chicago, IL (United States)
- Univ. de Granada, Granada (Spain)
- Indiana Univ., Bloomington, IN (United States)
- American Physical Society, Ridge, NY (United States)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technische Univ. Munchen, Garching (Germany)
- 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)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States). RIKEN Research Center
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- Fermilab Lattice; MILC; Fermilab Lattice and MILC Collaborations
- OSTI Identifier:
- 1260383
- Alternate Identifier(s):
- OSTI ID: 1259736; OSTI ID: 1336071
- Report Number(s):
- FERMILAB-PUB-16-030-T; arXiv:1602.03560; BNL-112445-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; 1421164
- Grant/Contract Number:
- AC02-07CH11359; FG02-91ER40628; FC02-06ER41446; SC0010120; SC0010005; FG02-91ER40661; FG02-13ER42001; FG02-13ER41976; SC0012704; SC00112704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 11; 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; Riken BNL Research Center
Citation Formats
Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., and Zhou, Ran. $B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond. United States: N. p., 2016.
Web. doi:10.1103/PhysRevD.93.113016.
Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., & Zhou, Ran. $B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond. United States. https://doi.org/10.1103/PhysRevD.93.113016
Bazavov, A., Bernard, C., Bouchard, C. M., Chang, C. C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gamiz, E., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Mackenzie, P. B., Neil, E. T., Simone, J., Sugar, R., Toussaint, D., Van de Water, R. S., and Zhou, Ran. Tue .
"$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond". United States. https://doi.org/10.1103/PhysRevD.93.113016. https://www.osti.gov/servlets/purl/1260383.
@article{osti_1260383,
title = {$B^0_{(s)}$-mixing matrix elements from lattice QCD for the Standard Model and beyond},
author = {Bazavov, A. and Bernard, C. and Bouchard, C. M. and Chang, C. C. and DeTar, C. and Du, Daping and El-Khadra, A. X. and Freeland, E. D. and Gamiz, E. and Gottlieb, Steven and Heller, U. M. and Kronfeld, A. S. and Laiho, J. and Mackenzie, P. B. and Neil, E. T. and Simone, J. and Sugar, R. and Toussaint, D. and Van de Water, R. S. and Zhou, Ran},
abstractNote = {We calculate—for the first time in three-flavor lattice QCD—the hadronic matrix elements of all five local operators that contribute to neutral B0- and Bs-meson mixing in and beyond the Standard Model. In this paper, we present a complete error budget for each matrix element and also provide the full set of correlations among the matrix elements. We also present the corresponding bag parameters and their correlations, as well as specific combinations of the mixing matrix elements that enter the expression for the neutral B-meson width difference. We obtain the most precise determination to date of the SU(3)-breaking ratio ξ=1.206(18)(6), where the second error stems from the omission of charm-sea quarks, while the first encompasses all other uncertainties. The threefold reduction in total uncertainty, relative to the 2013 Flavor Lattice Averaging Group results, tightens the constraint from B mixing on the Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle. Our calculation employs gauge-field ensembles generated by the MILC Collaboration with four lattice spacings and pion masses close to the physical value. We use the asqtad-improved staggered action for the light-valence quarks and the Fermilab method for the bottom quark. We use heavy-light meson chiral perturbation theory modified to include lattice-spacing effects to extrapolate the five matrix elements to the physical point. We combine our results with experimental measurements of the neutral B-meson oscillation frequencies to determine the CKM matrix elements |Vtd|=8.00(34)(8)×10-3, |Vts|=39.0(1.2)(0.4)×10-3, and |Vtd/Vts|=0.2052(31)(10), which differ from CKM-unitarity expectations by about 2σ. Lastly, these results and others from flavor-changing-neutral currents point towards an emerging tension between weak processes that are mediated at the loop and tree levels.},
doi = {10.1103/PhysRevD.93.113016},
journal = {Physical Review D},
number = 11,
volume = 93,
place = {United States},
year = {Tue Jun 28 00:00:00 EDT 2016},
month = {Tue Jun 28 00:00:00 EDT 2016}
}
Web of Science
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