Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 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

Abstract

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.

Authors:

; Harrison, Judd; Lepage, G. Peter; Monahan, Christopher J.; Shigemitsu, Junko;

; HPQCD Collaboration

Publication Date:: 2020-02-26

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

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

Contributing Org.:: HPQCD Collaboration

OSTI Identifier:: 1601722

Alternate Identifier(s):: OSTI ID: 1602422

Report Number(s):: JLAB-THY-19-3052; DOE/OR/23177-4778; INT-PUB-19-044
Journal ID: ISSN 0031-9007; PRLTAO; 082001

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

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 8; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Flavor changing neutral currents; Hadron mixing; Heavy quark effective theory; Lattice QCD

Citation Formats


                    Davies, Christine T. H., Harrison, Judd, Lepage, G. Peter, Monahan, Christopher J., Shigemitsu, Junko, Wingate, Matthew, and HPQCD Collaboration. Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 Width Difference beyond Leading Order.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevLett.124.082001.

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                    Davies, Christine T. H., Harrison, Judd, Lepage, G. Peter, Monahan, Christopher J., Shigemitsu, Junko, Wingate, Matthew, & HPQCD Collaboration. Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 Width Difference beyond Leading Order.  United States.  https://doi.org/10.1103/PhysRevLett.124.082001

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                    Davies, Christine T. H., Harrison, Judd, Lepage, G. Peter, Monahan, Christopher J., Shigemitsu, Junko, Wingate, Matthew, and HPQCD Collaboration. Wed .  
"Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 Width Difference beyond Leading Order".  United States.  https://doi.org/10.1103/PhysRevLett.124.082001.

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@article{osti_1601722,

  title        = {Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 Width Difference beyond Leading Order},

  author       = {Davies, Christine T. H. and Harrison, Judd and Lepage, G. Peter and Monahan, Christopher J. and Shigemitsu, Junko and Wingate, Matthew and HPQCD Collaboration},

  abstractNote = {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 R2,3 and linear combinations ˜R2,3 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 ΔΓs using lattice QCD results for all hadronic matrix elements through O(1/mb). The main result of our calculations yields the 1/mb contribution ΔΓ1/mb = –0.022(10) ps–1. Adding this to the leading order contribution, the standard model prediction is ΔΓs = 0.092(14) ps–1.},

  doi          = {10.1103/PhysRevLett.124.082001},

  journal      = {Physical Review Letters},

  number       = 8,

  volume       = 124,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

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Title: Lattice QCD Matrix Elements for the B s 0 − B ¯ s 0 Width Difference beyond Leading Order

Abstract

Citation Formats

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Erratum: Width difference in the B s − B ¯ s system [Phys. Rev. D 54 , 4419 (1996)] journal, June 2011

High-precision c and b masses, and QCD coupling from current-current correlators in lattice and continuum QCD journal, August 2010

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The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea journal, March 2012

Sum rule estimate of the subleading non-perturbative contributions to B s – $\bar{B}_{s}$ mixing journal, April 2011

Scaling and further tests of heavy meson decay constant determinations from nonrelativistic QCD journal, January 2001

Fast fits for lattice QCD correlators journal, February 2012

Improved nonrelativistic QCD for heavy-quark physics journal, November 1992

Bs mixing observables and |Vtd/Vts| from sum rules journal, May 2019

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Publisher’s Note: C P violation in the B s 0 system [Rev. Mod. Phys. 88 , 45002 (2016)] journal, December 2019

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Review of Particle Physics journal, August 2018

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B -Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical u , d , s , and c Quarks journal, May 2013

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

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Lattice QCD ensembles with four flavors of highly improved staggered quarks
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Improved nonrelativistic QCD for heavy-quark physics
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Bs mixing observables and |Vtd/Vts| from sum rules
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$B_{s} \to K ℓ ν$ form factors from lattice QCD
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Improving the theoretical prediction for the B _s - B̅ _s width difference: matrix elements of next-to-leading order Δ B = 2 operators
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Publisher’s Note: $C P$ violation in the $B_{s}^{0}$ system [Rev. Mod. Phys. 88 , 45002 (2016)]
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$B_{s}^{0} - {\bar{B}}_{s}^{0}$ mixing parameters from unquenched lattice QCD
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Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
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