Lattice QCD matrix elements for the B0s − B¯0s width difference beyond leading order

Davies, C. H. , Harrison, J., Lepage, G. P., Monahan, C. J., Shigemitsu, J. and Wingate, M. (2020) Lattice QCD matrix elements for the B0s − B¯0s width difference beyond leading order. Physical Review Letters, 124, 082001. (doi: 10.1103/PhysRevLett.124.082001) (PMID:32167368)

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Abstract

Predicting the B0s −B¯0s width difference Δ Γ s relies on the heavy quark expansion and on hadronic matrix elements of Δ B = 2 operators. We present the first lattice QCD results for matrix elements of the dimension-7 operators R 2 , 3 and linear combinations ˜ R 2 , 3 using nonrelativistic QCD for the bottom quark and a highly improved staggered quark (HISQ) action for the strange quark. Computations use MILC ensembles of gauge field configuations with 2 + 1 + 1 flavors of sea quarks with the HISQ discretization, including lattices with physically light up/down quark masses. We discuss features unique to calculating matrix elements of these operators and analyze uncertainties from series truncation, discretization, and quark mass dependence. Finally we report the first Standard Model determination of Δ Γ s using lattice QCD results for all hadronic matrix elements through O ( 1 / m b ) . The main result of our calculations yields the 1 / m b contribution Δ Γ 1 / m b = − 0.022 ( 10 ) p s − 1 . Adding this to the leading order contribution, the Standard Model prediction is Δ Γ s = 0.092 ( 14 ) p s − 1 .

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Harrison, Mr Judd and Davies, Professor Christine
Authors: Davies, C. H., Harrison, J., Lepage, G. P., Monahan, C. J., Shigemitsu, J., and Wingate, M.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN:0031-9007
ISSN (Online):1079-7114
Copyright Holders:Copyright © 2020 the American Physical Society
First Published:First published in Physical Review Letters 124:082001
Publisher Policy:Reproduced under a Creative Commons License
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