@article{08c2a987c79141d2b52227683dc51471,
title = "Bs →kν decay from lattice QCD",
abstract = "We use lattice QCD to calculate the form factors f+(q2) and f0(q2) for the semileptonic decay Bs→Kν. 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→Kν and Bs→Dsν. Our results, together with future experimental measurements, can be used to determine the magnitude of the Cabibbo-Kobayashi-Maskawa matrix element |Vub|.",
author = "{Fermilab Lattice and MILC Collaborations} and A. Bazavov and C. Bernard and C. Detar and Daping Du and El-Khadra, {A. X.} and Freeland, {E. D.} and E. G{\'a}miz and Z. Gelzer and Steven Gottlieb and Heller, {U. M.} and Kronfeld, {A. S.} and J. Laiho and Yuzhi Liu and Mackenzie, {P. B.} and Y. Meurice and Neil, {E. T.} and Simone, {J. N.} and R. Sugar and D. Toussaint and {Van De Water}, {R. S.} and Ran Zhou",
note = "Funding Information: We thank Jon A. Bailey for participating in the early stage of the project. We thank Chris M. Bouchard for discussions and comments on the form factor comparison section. We thank members of the LHCb Collaboration for discussions and in particular Svende Braun, Marta Calvi, and Mika A. Vesterinen for sharing with us their analysis status and the preferred bins. Computations for this work were carried out with resources provided by the USQCD Collaboration, the National Energy Research Scientific Computing Center, the Argonne Leadership Computing Facility, the Blue Waters sustained-petascale computing project, the National Institute for Computational Science, the National Center for Atmospheric Research, the Texas Advanced Computing Center, and Big Red at Indiana University. USQCD resources are acquired and operated thanks to funding from the Office of Science of the U.S. Department of Energy. The National Energy Research Scientific Computing Center is a DOE Office of Science User Facility supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231. An award of computer time was provided by the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) program. This research used resources of the Argonne Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC02-06CH11357. The Blue Waters sustained-petascale computing project is supported by the National Science Foundation (Awards No. OCI-0725070 and No. ACI-1238993) and the State of Illinois. Blue Waters is a joint effort of the University of Illinois at Urbana-Champaign and its National Center for Supercomputing Applications. This work is also part of the “Lattice QCD on Blue Waters” and “High Energy Physics on Blue Waters” PRAC allocations supported by the National Science Foundation (Grants No. 0832315 and No. 1615006). This work used the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1548562 . Allocations under the Teragrid and XSEDE programs included resources at the National Institute for Computational Sciences (NICS) at the Oak Ridge National Laboratory Computer Center, The Texas Advanced Computing Center and the National Center for Atmospheric Research, all under NSF teragrid allocation TG-MCA93S002. Computer time at the National Center for Atmospheric Research was provided by NSF MRI Grant CNS-0421498, NSF MRI Grant CNS-0420873, NSF MRI Grant CNS-0420985, NSF sponsorship of the National Center for Atmospheric Research, the University of Colorado, and a grant from the IBM Shared University Research (SUR) program. Computing at Indiana University is supported by Lilly Endowment, Inc., through its support for the Indiana University Pervasive Technology Institute. This project was supported in part by the URA Visiting Scholar Award 12-S-15 (Y. L.); by the U.S. Department of Energy under Grants No. DE-FG02-91ER40628 (C. B.), No. DE-FC02-12ER41879 (C. D.), No. DE-FG02-13ER42001 (A. X. K.), No. DE-SC0015655 (A. X. K., Z. G.), No. DE-SC0010120 (S. G.), No. DE-FG02-91ER40661 (S. G.), No. DE-SC0010113 (Y. M.), No. DE-SC0010005 (E. T. N.), No. DE-FG02-13ER41976 (D. T.); by the U.S. National Science Foundation under Grants No. PHY14-14614 and No. PHY17-19626 (C. D.), and No. PHY14-17805 (J. L.); by the MINECO (Spain) under Grants No. FPA2013-47836-C-1-P and No. FPA2016-78220-C3-3-P (E. G.); by the Junta de Andaluc{\'i}a (Spain) under Grant No. FQM-101 (E. G.); by the Fermilab Distinguished Scholars program (A. X. K.); by the German Excellence Initiative and the European Union Seventh Framework Program under Grant Agreement No. 291763 as well as the European Union{\textquoteright}s Marie Curie COFUND program (A. S. K.). Brookhaven National Laboratory is supported by the United States Department of Energy, Office of Science, Office of High Energy Physics, under Contract No. DE-SC0012704. This document was prepared by the Fermilab Lattice and MILC Collaborations using the resources of the Fermi National Accelerator Laboratory (Fermilab), a U.S. Department of Energy, Office of Science, HEP User Facility. Fermilab is managed by Fermi Research Alliance, LLC (FRA), acting under Contract No. DE-AC02-07CH11359. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society.",
year = "2019",
month = aug,
day = "1",
doi = "10.1103/PhysRevD.100.034501",
language = "English (US)",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "3",
}