Lattice QCD Matrix Elements for the 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 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.
- Authors:
- Publication Date:
- 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.
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
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.
@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}
}
https://doi.org/10.1103/PhysRevLett.124.082001
Web of Science
Works referenced in this record:
B-physics from Nf = 2 tmQCD: the Standard Model and beyond
journal, March 2014
- Carrasco, N.; Ciuchini, M.; Dimopoulos, P.
- Journal of High Energy Physics, Vol. 2014, Issue 3
Theoretical update of B s −bar B s mixing
journal, June 2007
- Lenz, Alexander; Nierste, Ulrich
- Journal of High Energy Physics, Vol. 2007, Issue 06
Neutral -meson mixing from full lattice QCD at the physical point
journal, November 2019
- Dowdall, R. J.; Davies, C. T. H.; Horgan, R. R.
- Physical Review D, Vol. 100, Issue 9
Dimension-six matrix elements for meson mixing and lifetimes from sum rules
journal, December 2017
- Kirk, M.; Lenz, A.; Rauh, T.
- Journal of High Energy Physics, Vol. 2017, Issue 12
- and -meson leptonic decay constants from four-flavor lattice QCD
journal, October 2018
- Bazavov, A.; Bernard, C.; Brown, N.
- Physical Review D, Vol. 98, Issue 7
Constrained curve fitting
journal, March 2002
- Lepage, G. P.; Clark, B.; Davies, C. T. H.
- Nuclear Physics B - Proceedings Supplements, Vol. 106-107
Lattice QCD ensembles with four flavors of highly improved staggered quarks
journal, March 2013
- Bazavov, A.; Bernard, C.; Komijani, J.
- Physical Review D, Vol. 87, Issue 5
Erratum: Width difference in the system [Phys. Rev. D 54 , 4419 (1996)]
journal, June 2011
- Beneke, M.; Buchalla, G.; Dunietz, I.
- Physical Review D, Vol. 83, Issue 11
High-precision and masses, and QCD coupling from current-current correlators in lattice and continuum QCD
journal, August 2010
- McNeile, C.; Davies, C. T. H.; Follana, E.
- Physical Review D, Vol. 82, Issue 3
Gradient flow and scale setting on MILC HISQ ensembles
journal, May 2016
- Bazavov, A.; Bernard, C.; Brown, N.
- Physical Review D, Vol. 93, Issue 9
Scaling studies of QCD with the dynamical highly improved staggered quark action
journal, October 2010
- Bazavov, A.; Bernard, C.; DeTar, C.
- Physical Review D, Vol. 82, Issue 7
The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
journal, March 2012
- Dowdall, R. J.; Colquhoun, B.; Daldrop, J. O.
- Physical Review D, Vol. 85, Issue 5
Sum rule estimate of the subleading non-perturbative contributions to B s – $\bar{B}_{s}$ mixing
journal, April 2011
- Mannel, T.; Pecjak, B. D.; Pivovarov, A. A.
- The European Physical Journal C, Vol. 71, Issue 4
Scaling and further tests of heavy meson decay constant determinations from nonrelativistic QCD
journal, January 2001
- Collins, S.; Davies, C. T. H.; Hein, J.
- Physical Review D, Vol. 63, Issue 3
Fast fits for lattice QCD correlators
journal, February 2012
- Hornbostel, K.; Lepage, G. P.; Davies, C. T. H.
- Physical Review D, Vol. 85, Issue 3
Improved nonrelativistic QCD for heavy-quark physics
journal, November 1992
- Lepage, G. Peter; Magnea, Lorenzo; Nakhleh, Charles
- Physical Review D, Vol. 46, Issue 9
Bs mixing observables and |Vtd/Vts| from sum rules
journal, May 2019
- King, Daniel; Lenz, Alexander; Rauh, Thomas
- Journal of High Energy Physics, Vol. 2019, Issue 5
form factors from lattice QCD
journal, September 2014
- Bouchard, C. M.; Lepage, G. Peter; Monahan, Christopher
- Physical Review D, Vol. 90, Issue 5
High-precision quark masses and QCD coupling from lattice QCD
journal, March 2015
- Chakraborty, Bipasha; Davies, C. T. H.; Galloway, B.
- Physical Review D, Vol. 91, Issue 5
Improving the theoretical prediction for the B s - B̅ s width difference: matrix elements of next-to-leading order Δ B = 2 operators
journal, January 2018
- Davies, Christine; Harrison, Judd; Lepage, G. Peter
- EPJ Web of Conferences, Vol. 175
Publisher’s Note: violation in the system [Rev. Mod. Phys. 88 , 45002 (2016)]
journal, December 2019
- Artuso, Marina; Borissov, Guennadi; Lenz, Alexander
- Reviews of Modern Physics, Vol. 91, Issue 4
Next-to-leading order QCD corrections to the lifetime difference of Bs mesons
journal, July 1999
- Beneke, M.; Buchalla, G.; Greub, C.
- Physics Letters B, Vol. 459, Issue 4
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
The B+−Bd0 lifetime difference beyond leading logarithms
journal, September 2002
- Beneke, Martin; Buchalla, Gerhard; Greub, Christoph
- Nuclear Physics B, Vol. 639, Issue 1-2
-mixing matrix elements from lattice QCD for the Standard Model and beyond
journal, June 2016
- Bazavov, A.; Bernard, C.; Bouchard, C. M.
- Physical Review D, Vol. 93, Issue 11
Towards next-to-next-to-leading-log accuracy for the width difference in the B
s − B
¯ s $$ {B}_s-{\overline{B}}_s $$ system: fermionic contributions to order (m c /m b )0 and (m c /m b )1
journal, October 2017
- Asatrian, H. M.; Hovhannisyan, A.; Nierste, U.
- Journal of High Energy Physics, Vol. 2017, Issue 10
Width difference in the system
journal, October 1996
- Beneke, M.; Buchalla, G.; Dunietz, I.
- Physical Review D, Vol. 54, Issue 7
Radiative corrections to the lattice gluon action for highly improved staggered quarks and the effect of such corrections on the static potential
journal, April 2009
- Hart, A.; von Hippel, G. M.; Horgan, R. R.
- Physical Review D, Vol. 79, Issue 7
-Meson Decay Constants from Improved Lattice Nonrelativistic QCD with Physical , , , and Quarks
journal, May 2013
- Dowdall, R. J.; Davies, C. T. H.; Horgan, R. R.
- Physical Review Letters, Vol. 110, Issue 22
from and decay constants in full lattice QCD with physical , , , and quarks
journal, October 2013
- Dowdall, R. J.; Davies, C. T. H.; Lepage, G. P.
- Physical Review D, Vol. 88, Issue 7
mixing parameters from unquenched lattice QCD
journal, July 2007
- Dalgic, Emel; Gray, Alan; Gamiz, Elvira
- Physical Review D, Vol. 76, Issue 1
Neutral meson mixings and meson decay constants with static heavy and domain-wall light quarks
journal, June 2015
- Aoki, Yasumichi; Ishikawa, Tomomi; Izubuchi, Taku
- Physical Review D, Vol. 91, Issue 11
Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007
- Follana, E.; Mason, Q.; Davies, C.
- Physical Review D, Vol. 75, Issue 5
violation in the system
journal, October 2016
- Artuso, Marina; Borissov, Guennadi; Lenz, Alexander
- Reviews of Modern Physics, Vol. 88, Issue 4
Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
journal, September 2014
- Monahan, Christopher; Gámiz, Elvira; Horgan, Ron
- Physical Review D, Vol. 90, Issue 5
-meson decay constants: A more complete picture from full lattice QCD
journal, June 2015
- Colquhoun, B.; Davies, C. T. H.; Kettle, J.
- Physical Review D, Vol. 91, Issue 11
Precise determination of the lattice spacing in full lattice QCD
journal, February 2010
- Davies, C. T. H.; Follana, E.; Kendall, I. D.
- Physical Review D, Vol. 81, Issue 3
B s and D s Decay Constants in Three-Flavor Lattice QCD
journal, April 2004
- Wingate, Matthew; Davies, Christine T. H.; Gray, Alan
- Physical Review Letters, Vol. 92, Issue 16