B−c → J/ ψ form factors for the full q2 range from lattice QCD

Harrison, J., Davies, C. T.H. and Lytle, A. (2020) B−c → J/ ψ form factors for the full q2 range from lattice QCD. Physical Review D, 102(9), 094518. (doi: 10.1103/PhysRevD.102.094518)

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We present the first lattice QCD determination of the B c → J / ψ vector and axial-vector form factors. These will enable experimental information on the rate for B c semileptonic decays to J / ψ to be converted into a value for V c b . Our calculation covers the full physical q 2 range of the decay and uses nonperturbatively renormalized lattice currents. We use the highly improved staggered quark (HISQ) action for all valence quarks on the second generation MILC ensembles of gluon field configurations including u , d , s and c HISQ sea quarks. Our HISQ heavy quarks have masses ranging upwards from that of c ; we are able to reach that of the b on our finest lattices. This enables us to map out the dependence on heavy quark mass and determine results in the continuum limit at the b . We use our form factors to construct the differential rates for B − c → J / ψ μ − ¯ ν μ and obtain a total rate with 7% uncertainty: Γ ( B − c → J / ψ μ − ¯ ν μ ) / | η EW V c b | 2 = 1.73 ( 12 ) × 10 13     s − 1 . Including values for V c b , η EW and τ B c yields a branching fraction for this decay mode of 0.0150(11)(10)(3) with uncertainties from lattice QCD, η EW V c b and τ B c respectively.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Lytle, Dr Andrew and Harrison, Dr Judd and Davies, Professor Christine
Authors: Harrison, J., Davies, C. T.H., and Lytle, A.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN (Online):2470-0029
Published Online:24 November 2020
Copyright Holders:Copyright © 2020 American Physical Society
First Published:First published in Physical Review D 102(9): 094518
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
169715Phenomenology from Lattice QCD and collider physicsChristine DaviesScience and Technology Facilities Council (STFC)ST/L000466/1P&S - Physics & Astronomy
173809Phenomenology from Lattice QCD and Collider PhysicsChristine DaviesScience and Technology Facilities Council (STFC)ST/P000746/1P&S - Physics & Astronomy