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Title: B s K ν decay from lattice QCD

Abstract

We use lattice QCD to calculate the form factors f+(q 2) and f 0(q 2) for the semileptonic decay Bs→Kℓν. Our calculation uses six MILC asqtad 2+1 flavor gauge-field ensembles with three lattice spacings. At the smallest and largest lattice spacing the light-quark sea mass is set to 1/10 the strange-quark mass. At the intermediate lattice spacing, we use four values for the light-quark sea mass ranging from 1/5 to 1/20 of the strange-quark mass. We use the asqtad improved staggered action for the light valence quarks, and the clover action with the Fermilab interpolation for the heavy valence bottom quark. We use SU(2) hard-kaon heavy-meson rooted staggered chiral perturbation theory to take the chiral-continuum limit. A functional z expansion is used to extend the form factors to the full kinematic range. We present predictions for the differential decay rate for both Bs→Kμν and Bs→Kτν. We also present results for the forward-backward asymmetry, the lepton polarization asymmetry, ratios of the scalar and vector form factors for the decays Bs→Kℓν and Bs→Dsℓν. Our results, together with future experimental measurements, can be used to determine the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element |$$V_{ub}$$|.

Authors:
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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 and MILC Collaborations]
OSTI Identifier:
1546825
Alternate Identifier(s):
OSTI ID: 1527437
Report Number(s):
[arXiv:1901.02561; FERMILAB-PUB-19-005-T]
[Journal ID: ISSN 2470-0010; PRVDAQ; 034501]
Grant/Contract Number:  
[AC02-05CH11231; AC02-06CH11357; FG02-91ER40628; FC02-12ER41879; FG02-13ER42001; SC0015655; SC0010120; FG02-91ER40661; SC0010113; SC0010005; FG02-13ER41976; SC0012704; AC02-07CH11359; CNS-0421498; CNS-0420873; CNS-0420985; 12-S-15]
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
[Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 3]; 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., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gelzer, Z., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Liu, Yuzhi, Mackenzie, P. B., Meurice, Y., Neil, E. T., Simone, J. N., Sugar, R., Toussaint, D., Van de Water, R. S., Zhou, Ran, and Fermilab Lattice and MILC Collaborations. B s → K ℓ ν decay from lattice QCD. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.034501.
Bazavov, A., Bernard, C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gelzer, Z., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Liu, Yuzhi, Mackenzie, P. B., Meurice, Y., Neil, E. T., Simone, J. N., Sugar, R., Toussaint, D., Van de Water, R. S., Zhou, Ran, & Fermilab Lattice and MILC Collaborations. B s → K ℓ ν decay from lattice QCD. United States. doi:10.1103/PhysRevD.100.034501.
Bazavov, A., Bernard, C., DeTar, C., Du, Daping, El-Khadra, A. X., Freeland, E. D., Gámiz, E., Gelzer, Z., Gottlieb, Steven, Heller, U. M., Kronfeld, A. S., Laiho, J., Liu, Yuzhi, Mackenzie, P. B., Meurice, Y., Neil, E. T., Simone, J. N., Sugar, R., Toussaint, D., Van de Water, R. S., Zhou, Ran, and Fermilab Lattice and MILC Collaborations. Thu . "B s → K ℓ ν decay from lattice QCD". United States. doi:10.1103/PhysRevD.100.034501.
@article{osti_1546825,
title = {B s → K ℓ ν decay from lattice QCD},
author = {Bazavov, A. and Bernard, C. and DeTar, C. and Du, Daping and El-Khadra, A. X. and Freeland, E. D. and Gámiz, E. and Gelzer, Z. and Gottlieb, Steven and Heller, U. M. and Kronfeld, A. S. and Laiho, J. and Liu, Yuzhi and Mackenzie, P. B. and Meurice, Y. and Neil, E. T. and Simone, J. N. and Sugar, R. and Toussaint, D. and Van de Water, R. S. and Zhou, Ran and Fermilab Lattice and MILC Collaborations},
abstractNote = {We use lattice QCD to calculate the form factors f+(q2) and f0(q2) for the semileptonic decay Bs→Kℓν. Our calculation uses six MILC asqtad 2+1 flavor gauge-field ensembles with three lattice spacings. At the smallest and largest lattice spacing the light-quark sea mass is set to 1/10 the strange-quark mass. At the intermediate lattice spacing, we use four values for the light-quark sea mass ranging from 1/5 to 1/20 of the strange-quark mass. We use the asqtad improved staggered action for the light valence quarks, and the clover action with the Fermilab interpolation for the heavy valence bottom quark. We use SU(2) hard-kaon heavy-meson rooted staggered chiral perturbation theory to take the chiral-continuum limit. A functional z expansion is used to extend the form factors to the full kinematic range. We present predictions for the differential decay rate for both Bs→Kμν and Bs→Kτν. We also present results for the forward-backward asymmetry, the lepton polarization asymmetry, ratios of the scalar and vector form factors for the decays Bs→Kℓν and Bs→Dsℓν. Our results, together with future experimental measurements, can be used to determine the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element |$V_{ub}$|.},
doi = {10.1103/PhysRevD.100.034501},
journal = {Physical Review D},
number = [3],
volume = [100],
place = {United States},
year = {2019},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.034501

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