Lattice QCD Matrix Elements for the Bs0–B¯s0 Width Difference beyond Leading Order

Davies, Christine T. H.; Harrison, Judd; Lepage, G. Peter; Monahan, Christopher J.; Shigemitsu, Junko; Wingate, Matthew

doi:10.1103/PhysRevLett.124.082001

Title: Lattice QCD Matrix Elements for the $B_{s}^{0} - {\bar{B}}_{s}^{0}$ Width Difference beyond Leading Order

Journal Article · 26 February 2020 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.124.082001 · OSTI ID:1601722

^[1]; Harrison, Judd ^[2]; Lepage, G. Peter ^[3]; Monahan, Christopher J. ^[4]; Shigemitsu, Junko ^[5];

^[6]

Univ. of Glasgow (United Kingdom)
Univ. of Cambridge (United Kingdom); Univ. of Glasgow (United Kingdom)
Cornell Univ., Ithaca, NY (United States)
Univ. of Washington, Seattle, WA (United States); College of William and Mary, Williamsburg, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
The Ohio State Univ., Columbus, OH (United States)
Univ. of Cambridge (United Kingdom)

Predicting the B$$^0_s$$–¯B$$^0_s$$ width difference ΔΓs relies on the heavy quark expansion and on hadronic matrix elements of ΔB = 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 Collaboration ensembles of gauge field configurations with 2+1+1 flavors of sea quarks with the HISQ discretization, including lattices with physically light up or 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 ΔΓ_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 ΔΓ1/m_b = –0.022(10) ps^–1. Adding this to the leading order contribution, the standard model prediction is ΔΓ_s = 0.092(14) ps^–1.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Organization:: HPQCD Collaboration

Grant/Contract Number:: FG02-00ER41132; AC05-06OR23177

OSTI ID:: 1601722

Alternate ID(s):: OSTI ID: 1602422

Report Number(s):: JLAB-THY-19-3052; DOE/OR/23177-4778; INT-PUB-19-044; PRLTAO; TRN: US2103992

Journal Information:: Physical Review Letters, Vol. 124, Issue 8; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 13 works

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