|𝑉𝑢⁢𝑏| from 𝐵 →𝜋⁢ℓ⁢𝜈 decays and (2+1 )-flavor lattice QCD

Jon. A. Bailey; A. Bazavov; C. Bernard; C. M. Bouchard; C. DeTar; D. Du; A. X. El-Khadra; J. Foley; E. D. Freeland; E. Gamiz; Steven Gottlieb; U. M. Heller; J. Komijani; A. S. Kronfeld; J. Laiho; L. Levkova; Yuzhi Liu; P. B. Mackenzie; Y. Meurice; E. Neil; Si-Wei Qiu; J. N. Simone; R. Sugar; D. Toussaint; R. S. Van de Water; R. Zhou; Fermilab Lattice Collaboration; MILC collaboration

doi:10.1103/PhysRevD.92.014024

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|𝑉𝑢⁢𝑏| from 𝐵 →𝜋⁢ℓ⁢𝜈 decays and (2+1 )-flavor lattice QCD

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|𝑉𝑢⁢𝑏| from 𝐵 →𝜋⁢ℓ⁢𝜈 decays and (2+1 )-flavor lattice QCD

Jon. A. Bailey, A. Bazavov, C. Bernard, C. M. Bouchard, C. DeTar, D. Du, A. X. El-Khadra, J. Foley, E. D. Freeland, E. Gamiz, …

Physical review. D, Particles, fields, gravitation, and cosmology, Vol.92(1), 014024

07/23/2015

DOI: 10.1103/PhysRevD.92.014024

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Abstract

We present a lattice-QCD calculation of the B→π ν semileptonic form factors and a new determination of the CKM matrix element |Vub|. We use the MILC asqtad (2+1)-flavor lattice configurations at four lattice spacings and light-quark masses down to 1/20 of the physical strange-quark mass. We extrapolate the lattice form factors to the continuum using staggered chiral perturbation theory in the hard-pion and SU(2) limits. We employ a model-independent z parametrization to extrapolate our lattice form factors from large-recoil momentum to the full kinematic range. We introduce a new functional method to propagate information from the chiral-continuum extrapolation to the z expansion. We present our results together with a complete systematic error budget, including a covariance matrix to enable the combination of our form factors with other lattice-QCD and experimental results. To obtain |Vub|, we simultaneously fit the experimental data for the B→π ν differential decay rate obtained by the BABAR and Belle collaborations together with our lattice form-factor results. We find |Vub|=(3.72±0.16)×10-3, where the error is from the combined fit to lattice plus experiments and includes all sources of uncertainty. Our form-factor results bring the QCD error on |Vub| to the same level as the experimental error. We also provide results for the B→π ν vector and scalar form factors obtained from the combined lattice and experiment fit, which are more precisely determined than from our lattice-QCD calculation alone. These results can be used in other phenomenological applications and to test other approaches to QCD.

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Astronomy & Astrophysics

Physics, Particles & Fields

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Title: Subtitle: |𝑉𝑢⁢𝑏| from 𝐵 →𝜋⁢ℓ⁢𝜈 decays and (2+1 )-flavor lattice QCD
Creators: Jon. A. Bailey - Seoul Natl Univ, Dept Phys & Astron, Seoul, South Korea
A. Bazavov - Brookhaven National Laboratory
C. Bernard - Washington University in St. Louis
C. M. Bouchard - William & Mary
C. DeTar - University of Utah
D. Du - Univ Illinois, Dept Phys, Urbana, IL 61801 USA
A. X. El-Khadra - University of Illinois Urbana-Champaign
J. Foley - University of Utah
E. D. Freeland - School of the Art Institute of Chicago
E. Gamiz - Universidad de Granada
Steven Gottlieb - Indiana University Bloomington
U. M. Heller - American Physical Society
J. Komijani - Washington University in St. Louis
A. S. Kronfeld - Fermi National Accelerator Laboratory
J. Laiho - Syracuse University
L. Levkova - University of Utah
Yuzhi Liu - University of Colorado System
P. B. Mackenzie - Fermi National Accelerator Laboratory
Y. Meurice - University of Iowa
E. Neil - University of Colorado System
Si-Wei Qiu - University of Utah
J. N. Simone - Fermi National Accelerator Laboratory
R. Sugar - University of California, Santa Barbara
D. Toussaint - University of Arizona
R. S. Van de Water - Fermi National Accelerator Laboratory
R. Zhou - Fermi National Accelerator Laboratory
Fermilab Lattice Collaboration
MILC collaboration
Resource Type: Journal article
Publication Details: Physical review. D, Particles, fields, gravitation, and cosmology, Vol.92(1), 014024
DOI: 10.1103/PhysRevD.92.014024
ISSN: 1550-7998
eISSN: 1550-2368
Publisher: American Physical Society
Number of pages: 32
Grant note: Ramon y Cajal program; Spanish Government National Institute for Computational Science Office of Science of the United States Department of Energy; United States Department of Energy (DOE) FQM-101; FQM-6552 / Junta de Andalucia (Spain); Junta de Andalucia; European Commission 2014001852 / Creative Research Initiatives Program of the NRF grant - Korean government (MEST) FPA2010-16696; FPA2006-05294 / MINECO (Spain) PCIG10-GA-2011-303781 / European Commission; European Commission Joint Research Centre Basic Science Research Program of the National Research Foundation of Korea (NRF) Pittsburgh Supercomputer Center San Diego Supercomputer Center PHY-1067881; PHY-10034278; PHY-1417805; PHY1212389; PHY-1316748 / National Science Foundation; National Science Foundation (NSF) Texas Advanced Computing Center European Union's Marie Curie COFUND program DE-FG02-91ER40628; DE-FC02-12ER41879; DE-SC0010120; DE-FG02-91ER40661; DE-FC02-06ER41443; DE-FG02-13ER42001; DE-FG02-13ER41976; DE-SC0010114; DE-AC02-98CH10886; DE-AC02-07CH11359 / U.S. Department of Energy; United States Department of Energy (DOE) 1067881 / Direct For Mathematical & Physical Scien; National Science Foundation (NSF); NSF - Directorate for Mathematical & Physical Sciences (MPS) URA Visiting Scholars' program National Science Foundation's Teragrid/XSEDE Program 291763 / European Union Seventh Framework Programme; European Commission 2014027937 / Ministry of Education German Excellence Initiative
Language: English
Date published: 07/23/2015
Academic Unit: Physics and Astronomy
Record Identifier: 9984429022202771

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