Phenomenology of Semileptonic B-Meson Decays with Form Factors from Lattice QCD

Du, Daping; El-Khadra, A. X.; Gottlieb, Steven; Kronfeld, A. S.; Laiho, J.; Lunghi, E.; Van de Water, R. S.; Zhou, Ran

doi:10.1103/PhysRevD.93.034005

Title: Phenomenology of Semileptonic B-Meson Decays with Form Factors from Lattice QCD

Journal Article · Wed Feb 03 00:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.034005· OSTI ID:1226335

Du, Daping ^[1]; El-Khadra, A. X. ^[2]; Gottlieb, Steven ^[3]; Kronfeld, A. S. ^[4]; Laiho, J. ^[1]; Lunghi, E. ^[3]; Van de Water, R. S. ^[5]; Zhou, Ran ^[5]

Syracuse Univ., NY (United States)
Univ. of Illinois, Urbana-Champain, IL (United States)
Indiana Univ., Bloomington, IN (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Technical Univ. of Munich (Germany)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

We study the exclusive semileptonic B-meson decays B→K(π)ℓ⁺ℓ^-, B→K(π)νν¯, and B→πτν, computing observables in the Standard model using the recent lattice-QCD results for the underlying form factors from the Fermilab Lattice and MILC Collaborations. These processes provide theoretically clean windows into physics beyond the Standard Model because the hadronic uncertainties are now under good control. The resulting partially-integrated branching fractions for B→πμ⁺μ^- and B→Kμ⁺μ^- outside the charmonium resonance region are 1-2σ higher than the LHCb Collaboration's recent measurements, where the theoretical and experimental errors are commensurate. The combined tension is 1.7σ. Combining the Standard-Model rates with LHCb's measurements yields values for the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements |V_td|=7.45(69)×10^-3, |V_ts|=35.7(1.5)×10^-3, and |V_td/V_ts|=0.201(20), which are compatible with the values obtained from neutral B_(s)-meson oscillations and have competitive uncertainties. Alternatively, taking the CKM matrix elements from unitarity, we constrain new-physics contributions at the electroweak scale. Furthermore, the constraints on the Wilson coefficients Re(C₉) and Re(C₁₀) from B→πμ⁺μ^- and B→Kμ⁺μ^- are competitive with those from B→K*μ⁺μ^-, and display a 2.0σ tension with the Standard Model. Our predictions for B→K(π)νν¯ and B→πτν are close to the current experimental limits.

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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 Collaboration; MILC Collaboration

Grant/Contract Number:: AC02-07CH11359; SC0010120; FG02-13ER42001

OSTI ID:: 1226335

Alternate ID(s):: OSTI ID: 1236899

Report Number(s):: FERMILAB-PUB-15/425-T; NSF-KITP-15-134; PRVDAQ; arXiv eprint number arXiv:1510.02349

Journal Information:: Physical Review D, Vol. 93, Issue 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 65 works

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CP violation and the CKM matrix: assessing the impact of the asymmetric B factories Charles, J.; Höcker, A.; Lacker, H. The European Physical Journal C, Vol. 41, Issue 1 https://doi.org/10.1140/epjc/s2005-02169-1	journal	May 2005
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Updated Next-to-Next-to-Leading-Order QCD Predictions for the Weak Radiative $B$ -Meson Decays Misiak, M.; Asatrian, H. M.; Boughezal, R. Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.221801	journal	June 2015
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Measurement of the $B \to X_{s} ℓ^{+} ℓ^{-}$ Branching Fraction with a Sum over Exclusive Modes Aubert, B.; Barate, R.; Boutigny, D. Physical Review Letters, Vol. 93, Issue 8 https://doi.org/10.1103/PhysRevLett.93.081802	journal	August 2004
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Diagnosing lepton-nonuniversality in b → sℓℓ Hiller, Gudrun; Schmaltz, Martin Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)055	journal	February 2015
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Padé approximants to

B \to π ℓ ν_{ℓ}

and

B_{s} \to K ℓ ν_{ℓ}

and determination of

| V_{u b} |

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