• Open Access

Standard Model predictions for BK+, BK12+ and BKνν¯ using form factors from Nf=2+1+1 lattice QCD

W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD collaboration)
Phys. Rev. D 107, 014511 – Published 24 January 2023; Erratum Phys. Rev. D 107, 119903 (2023)

Abstract

We use HPQCD’s recent lattice QCD determination of BK scalar, vector and tensor form factors to determine Standard Model differential branching fractions for BK+, BK1+2 and BKνν¯. These form factors are calculated across the full q2 range of the decay and have smaller uncertainties than previous work, particularly at low q2. For BK+ we find the Standard Model branching fraction in the q2 region below the squared J/ψ mass to exceed the LHCb results, with tensions as high as 4.7σ for B+K+μ+μ. For the high q2 region we see 3σ tensions. The tensions are much reduced by applying shifts to Wilson coefficients C9 and C10 in the effective weak Hamiltonian, moving them away from their Standard Model values consistent with those indicated by other B phenomenology. We also update results for lepton-flavor ratios Reμ and Rμτ and the “flat term,” FH in the differential branching fraction for {e,μ,τ}. Our results for the form-factor dependent contributions needed for searches for lepton-flavor violating decays BK12+ achieve uncertainties of 7%. We also compute the branching fraction B(BKνν¯) with an uncertainty below 10%, for comparison with future experimental results.

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  • Received 3 August 2022
  • Accepted 6 December 2022

DOI:https://doi.org/10.1103/PhysRevD.107.014511

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Erratum

Authors & Affiliations

W. G. Parrott*, C. Bouchard, and C. T. H. Davies (HPQCD collaboration§)

  • SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, United Kingdom

See Also

BK and DK form factors from fully relativistic lattice QCD

W. G. Parrott, C. Bouchard, and C. T. H. Davies (HPQCD collaboration)
Phys. Rev. D 107, 014510 (2023)

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Vol. 107, Iss. 1 — 1 January 2023

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