Neutral -meson mixing from full lattice QCD at the physical point
Abstract
We calculate the bag parameters for neutral $B$-meson mixing in and beyond the Standard Model, in full four-flavour lattice QCD for the first time. We work on gluon field configurations that include the effect of $u$, $d$, $s$ and $c$ sea quarks with the Highly Improved Staggered Quark (HISQ) action at three values of the lattice spacing and with three $u/d$ quark masses going down to the physical value. The valence $b$ quarks use the improved NRQCD action and the valence light quarks, the HISQ action. Our analysis was blinded. Our results for the bag parameters for all five operators are the most accurate to date. For the Standard Model operator between $$B_s$$ and $$B_d$$ mesons we find: $$\hat{B}_{B_s}=1.232(53)$$, $$\hat{B}_{B_d}=1.222(61)$$. Combining our results with lattice QCD calculations of the decay constants using HISQ quarks from the Fermilab/MILC collaboration and with experimental values for $$B_s$$ and $$B_d$$ oscillation frequencies allows determination of the CKM elements $$V_{ts}$$ and $$V_{td}$$. We find $$V_{ts} = 0.04189(93)$$, $$V_{td} = 0.00867(23)$$ and $$V_{ts}/V_{td} = 0.2071(27)$$. Our results agree well (within $$2\sigma$$) with values determined from CKM unitarity constraints based on tree-level processes (only). Using a ratio to $$\Delta M$$ in which CKM elements cancel in the Standard Model, we determine the branching fractions $${\text{Br}}(B_s\rightarrow \mu^+\mu^-) = 3.81(18) \times 10^{-9}$$ and $${\text{Br}}(B_d\rightarrow \mu^+\mu^-) = 1.031(54) \times 10^{-10}$$. We also give results for matrix elements of the operators $$R_0$$, $$R_1$$ and $$\tilde{R}_1$$ that contribute to neutral $B$-meson width differences.
- Authors:
- Univ. of Cambridge, Cambridge (United Kingdom)
- Univ. of Glasgow, 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)
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE
- Contributing Org.:
- HPQCD Collaboration
- OSTI Identifier:
- 1575791
- Alternate Identifier(s):
- OSTI ID: 1576222
- Report Number(s):
- JLAB-THY-19-3068; DOE/OR/23177-4789; arXiv:1907.01025
Journal ID: ISSN 2470-0010; PRVDAQ
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., and Wingate, M. Neutral B-meson mixing from full lattice QCD at the physical point. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.094508.
Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., & Wingate, M. Neutral B-meson mixing from full lattice QCD at the physical point. United States. doi:10.1103/PhysRevD.100.094508.
Dowdall, R. J., Davies, Christine T. H., Horgan, R. R., Lepage, G. P., Monahan, C. J., Shigemitsu, J., and Wingate, M. Mon .
"Neutral B-meson mixing from full lattice QCD at the physical point". United States. doi:10.1103/PhysRevD.100.094508.
@article{osti_1575791,
title = {Neutral B-meson mixing from full lattice QCD at the physical point},
author = {Dowdall, R. J. and Davies, Christine T. H. and Horgan, R. R. and Lepage, G. P. and Monahan, C. J. and Shigemitsu, J. and Wingate, M.},
abstractNote = {We calculate the bag parameters for neutral $B$-meson mixing in and beyond the Standard Model, in full four-flavour lattice QCD for the first time. We work on gluon field configurations that include the effect of $u$, $d$, $s$ and $c$ sea quarks with the Highly Improved Staggered Quark (HISQ) action at three values of the lattice spacing and with three $u/d$ quark masses going down to the physical value. The valence $b$ quarks use the improved NRQCD action and the valence light quarks, the HISQ action. Our analysis was blinded. Our results for the bag parameters for all five operators are the most accurate to date. For the Standard Model operator between $B_s$ and $B_d$ mesons we find: $\hat{B}_{B_s}=1.232(53)$, $\hat{B}_{B_d}=1.222(61)$. Combining our results with lattice QCD calculations of the decay constants using HISQ quarks from the Fermilab/MILC collaboration and with experimental values for $B_s$ and $B_d$ oscillation frequencies allows determination of the CKM elements $V_{ts}$ and $V_{td}$. We find $V_{ts} = 0.04189(93)$, $V_{td} = 0.00867(23)$ and $V_{ts}/V_{td} = 0.2071(27)$. Our results agree well (within $2\sigma$) with values determined from CKM unitarity constraints based on tree-level processes (only). Using a ratio to $\Delta M$ in which CKM elements cancel in the Standard Model, we determine the branching fractions ${\text{Br}}(B_s\rightarrow \mu^+\mu^-) = 3.81(18) \times 10^{-9}$ and ${\text{Br}}(B_d\rightarrow \mu^+\mu^-) = 1.031(54) \times 10^{-10}$. We also give results for matrix elements of the operators $R_0$, $R_1$ and $\tilde{R}_1$ that contribute to neutral $B$-meson width differences.},
doi = {10.1103/PhysRevD.100.094508},
journal = {Physical Review D},
number = 9,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}
DOI: 10.1103/PhysRevD.100.094508
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