Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks

Abstract

Neutral $B$ meson mixing matrix elements and $B$ meson decay constants are calculated. Static approximation is used for $b$ quark and domain-wall fermion formalism is employed for light quarks. The calculations are carried out on $2+1$ flavor dynamical ensembles generated by RBC/UKQCD Collaborations with lattice spacings $0.086$fm ($a^{-1}\sim 2.3$GeV) and $0.11$fm ($1.7$GeV), and a fixed physical spatial volume of about $(2.7\mathrm{fm}{)}^3$. In the static quark action, link-smearings are used to improve the signal-to-noise ratio. We employ two kinds of link-smearings, HYP1 and HYP2, and their results are combined in taking the continuum limit. For the matching between the lattice and the continuum theory, one-loop perturbative $O(a)$ improvements are made to reduce discretization errors. As the most important quantity of this work, we obtain SU(3) breaking ratio $\xi =1.208(60)$, where the error includes statistical and systematic one. (Uncertainty from infinite $b$ quark mass is not included.) We also find other neutral $B$ meson mixing quantities $f_B\sqrt{{\hat{B}}_B}=240(22)$MeV, $f_{B_s}\sqrt{{\hat{B}}_{B_s}}=290(22)$MeV, ${\hat{B}}_B=1.17(22)$, ${\hat{B}}_{B_s}=1.22(13)$ and $B_{B_s}/B_B=1.028(74)$, $B$ meson decay constants $f_B=219(17)$MeV, $f_{B_s}=264(19)$MeV and $f_{B_s}/f_B=1.193(41)$, in the static limit of $b$ quark, which do not include infinite $b$ quark mass uncertainty.

33 pages, 18 figures, v3: published version

References in corpus (6)

• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Neutral B Meson Mixing in Unquenched Lattice QCD
• B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Lattice renormalisation of O(a) improved heavy-light operators

Cited by in corpus (14)

• FLAG Review 2021
• 50 Years of Quantum Chromodynamics
• Family non-universal Z' models with protected flavor-changing interactions
• FLAG Review 2024
• The Exclusive Vision of Rare $K$ and $B$ Decays and of the Quark Mixing in the Standard Model
• Lattice QCD matrix elements for the $B_s^0-{\bar{B}}_s^0$ width difference beyond leading order
• Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing
• Searching for New Physics with $\overline{\mathcal{B}}(B_{s,d}\to \mu \bar{\mu })/\Delta M_{s,d}$
• Quark-hadron duality at work: lifetimes of bottom baryons
• Hints and challenges in heavy flavor physics
• Testing the Standard Model under the weight of heavy flavors
• Alternative implementation of atomic form factors
• Neutral B-meson mixing parameters in and beyond the SM with 2+1 flavor lattice QCD
• Summary of CKM 2016 Working Group 4 : mixing and mixing-related $CP$ violation in the $B$ system