|Vub | from B →π 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. Gámiz, Steven Gottlieb, U. M. Heller, J. Komijani, A. S. Kronfeld, John W Laiho, L. Levkova, Yuzhi Liu, P. B. Mackenzie, Y. Meurice, E. NeilSi Wei Qiu, J. N. Simone, R. Sugar, D. Toussaint, R. S. Van De Water, R. Zhou

Research output: Contribution to journalArticle

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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.

Original languageEnglish (US)
Article number014024
JournalPhysical Review D
Volume92
Issue number1
DOIs
StatePublished - Jul 23 2015

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quantum chromodynamics
form factors
decay
quarks
continuums
systematic errors
budgets
decay rates
extrapolation
pions
kinematics
perturbation theory
spacing
scalars
momentum
expansion
matrices
configurations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Bailey, J. A., Bazavov, A., Bernard, C., Bouchard, C. M., DeTar, C., Du, D., ... Zhou, R. (2015). |Vub | from B →π ν decays and (2+1)-flavor lattice QCD. Physical Review D, 92(1), [014024]. https://doi.org/10.1103/PhysRevD.92.014024

|Vub | from B →π ν decays and (2+1)-flavor lattice QCD. / Bailey, Jon A.; Bazavov, A.; Bernard, C.; Bouchard, C. M.; DeTar, C.; Du, D.; El-Khadra, A. X.; Foley, J.; Freeland, E. D.; Gámiz, E.; Gottlieb, Steven; Heller, U. M.; Komijani, J.; Kronfeld, A. S.; Laiho, John W; Levkova, L.; Liu, Yuzhi; Mackenzie, P. B.; Meurice, Y.; Neil, E.; Qiu, Si Wei; Simone, J. N.; Sugar, R.; Toussaint, D.; Van De Water, R. S.; Zhou, R.

In: Physical Review D, Vol. 92, No. 1, 014024, 23.07.2015.

Research output: Contribution to journalArticle

Bailey, JA, Bazavov, A, Bernard, C, Bouchard, CM, DeTar, C, Du, D, El-Khadra, AX, Foley, J, Freeland, ED, Gámiz, E, Gottlieb, S, Heller, UM, Komijani, J, Kronfeld, AS, Laiho, JW, Levkova, L, Liu, Y, Mackenzie, PB, Meurice, Y, Neil, E, Qiu, SW, Simone, JN, Sugar, R, Toussaint, D, Van De Water, RS & Zhou, R 2015, '|Vub | from B →π ν decays and (2+1)-flavor lattice QCD', Physical Review D, vol. 92, no. 1, 014024. https://doi.org/10.1103/PhysRevD.92.014024
Bailey JA, Bazavov A, Bernard C, Bouchard CM, DeTar C, Du D et al. |Vub | from B →π ν decays and (2+1)-flavor lattice QCD. Physical Review D. 2015 Jul 23;92(1). 014024. https://doi.org/10.1103/PhysRevD.92.014024
Bailey, Jon A. ; Bazavov, A. ; Bernard, C. ; Bouchard, C. M. ; DeTar, C. ; Du, D. ; El-Khadra, A. X. ; Foley, J. ; Freeland, E. D. ; Gámiz, E. ; Gottlieb, Steven ; Heller, U. M. ; Komijani, J. ; Kronfeld, A. S. ; Laiho, John W ; Levkova, L. ; Liu, Yuzhi ; Mackenzie, P. B. ; Meurice, Y. ; Neil, E. ; Qiu, Si Wei ; Simone, J. N. ; Sugar, R. ; Toussaint, D. ; Van De Water, R. S. ; Zhou, R. / |Vub | from B →π ν decays and (2+1)-flavor lattice QCD. In: Physical Review D. 2015 ; Vol. 92, No. 1.
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AU - Bailey, Jon A.

AU - Bazavov, A.

AU - Bernard, C.

AU - Bouchard, C. M.

AU - DeTar, C.

AU - Du, D.

AU - El-Khadra, A. X.

AU - Foley, J.

AU - Freeland, E. D.

AU - Gámiz, E.

AU - Gottlieb, Steven

AU - Heller, U. M.

AU - Komijani, J.

AU - Kronfeld, A. S.

AU - Laiho, John W

AU - Levkova, L.

AU - Liu, Yuzhi

AU - Mackenzie, P. B.

AU - Meurice, Y.

AU - Neil, E.

AU - Qiu, Si Wei

AU - Simone, J. N.

AU - Sugar, R.

AU - Toussaint, D.

AU - Van De Water, R. S.

AU - Zhou, R.

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N2 - 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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