$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD

Bailey, Jon A.

doi:10.1103/PhysRevD.92.014024

Title: $$|V_{ub}|$$ from $$B\to\pi\ell\nu$$ decays and (2+1)-flavor lattice QCD

Journal Article · Thu Jul 23 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.92.014024· OSTI ID:1234890

Bailey, Jon A. ^[1]

Seoul National Univ., Seoul (South Korea). et al.

We present a lattice-QCD calculation of the B → πℓν semileptonic form factors and a new determination of the CKM matrix element |V_ub|. 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 |V_ub|, we simultaneously fit the experimental data for the B → πℓν differential decay rate obtained by the BABAR and Belle collaborations together with our lattice form-factor results. We find |V_ub|=(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 |V_ub| to the same level as the experimental error. We also provide results for the B → πℓν 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. Lastly, these results can be used in other phenomenological applications and to test other approaches to QCD.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Contributing Organization:: Fermilab Lattice and MIC Collaborations

Grant/Contract Number:: AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; SC0010120; FG02-91ER40661; FC02-06ER41443; FG02-13ER42001; No. DE-FG02-13ER41976; SC0010114

OSTI ID:: 1234890

Alternate ID(s):: OSTI ID: 1213805

Report Number(s):: FERMILAB-PUB-15-108-T; PRVDAQ; arXiv eprint number arXiv:1503.07839; TRN: US1600932

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 1; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 133 works

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References (63)

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