Bs → Dsℓν form factors for the full q2 range from lattice QCD with nonperturbatively normalized currents

McLean, E., Davies, C.T.H. , Koponen, J. and Lytle, A. (2020) Bs → Dsℓν form factors for the full q2 range from lattice QCD with nonperturbatively normalized currents. Physical Review D, 101, 074513. (doi: 10.1103/PhysRevD.101.074513)

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We present a lattice QCD determination of the B s → D s ℓ ν scalar and vector form factors over the full physical range of momentum transfer. The result is derived from correlation functions computed using the Highly Improved Staggered Quark (HISQ) formalism, on the second generation MILC gluon ensembles accounting for up, down, strange and charm contributions from the sea. We calculate correlation functions for three lattice spacing values and an array of unphysically light b -quark masses, and extrapolate to the physical value. Using the HISQ formalism for all quarks means that the lattice current coupling to the W can be renormalized non-perturbatively, giving a result free from perturbative matching errors for the first time. Our results are in agreement with, and more accurate than, previous determinations of these form factors. From the form factors we also determine the ratio of branching fractions that is sensitive to violation of lepton universality: R ( D s ) = B ( B s → D s τ ν τ ) / B ( B s → D s ℓ ν l ) , where ℓ is an electron or a muon. We find R ( D s ) = 0.2993 ( 46 ) , which is also more accurate than previous lattice QCD results. Combined with a future measurement of R ( D s ) , this could supply a new test of the Standard Model. We also compare the dependence on heavy quark mass of our form factors to expectations from Heavy Quark Effective Theory.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Lytle, Dr Andrew and McLean, Euan and Koponen, Dr Jonna and Davies, Professor Christine
Authors: McLean, E., Davies, C.T.H., Koponen, J., 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:22 April 2020
Copyright Holders:Copyright © 2020 The Authors
First Published:First published in Physical Review D 101:074513
Publisher Policy:Reproduced under a Creative Commons license

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