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.

arXiv comment33 pages, 18 figures, v3: published version

References in corpus (43)

• A Method for Simulating Chiral Fermions on the Lattice
• On the Viability of Lattice Perturbation Theory
• Chiral Fermions from Lattice Boundaries
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Quark Mass Anomalous Dimension to alpha_s**4
• Infinitely many regulator fields for chiral fermions
• Physical Results from 2+1 Flavor Domain Wall QCD and SU(2) Chiral Perturbation Theory
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• A new class of variance reduction techniques using lattice symmetries
• Finite volume effects for meson masses and decay constants
• B- and D-meson decay constants from three-flavor lattice QCD
• Neutral B Meson Mixing in Unquenched Lattice QCD
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• The B and B_s Meson Decay Constants from Lattice QCD
• Two-loop renormalization of the effective field theory of a static quark
• Non-perturbative Heavy Quark Effective Theory
• On lattice actions for static quarks
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• Chiral Logs in the Presence of Staggered Flavor Symmetry Breaking
• B-physics from Nf=2 tmQCD: the Standard Model and beyond
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• Mobius Fermions: Improved Domain Wall Chiral Fermions
• Heavy meson chiral perturbation theory in finite volume
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• A proposal for B-physics on current lattices
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Lattice QCD determination of m_b, f_B and f_Bs with twisted mass Wilson fermions
• 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 unquenched lattice QCD with domain-wall light quarks and static b-quarks
• SU(3) Flavor Breaking in Hadronic Matrix Elements for $B-\bar{B}$ Oscillations
• Axial couplings and strong decay widths of heavy hadrons
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• Lattice HQET with exponentially improved statistical precision
• Renormalization of $\Delta B=2$ Transitions in the Static Limit Beyond Leading Logarithms
• Next-to-leading order renormalization of the $\Delta B=2$ operators in the static theory
• HQET with chiral symmetry on the lattice
• One-loop operator matching in the static heavy and domain-wall light quark system with O(a) improvement
• Scaling property of domain-wall QCD in perturbation theory
• Lattice renormalisation of O(a) improved heavy-light operators

Cited by in corpus (37)

• FLAG Review 2019
• FLAG Review 2021
• 50 Years of Quantum Chromodynamics
• $B_{(s)}^0$-mixing matrix elements from lattice QCD for the Standard Model and beyond
• Family non-universal Z' models with protected flavor-changing interactions
• Power-enhanced leading-logarithmic QED corrections to $B_q\to {\mu }^{+}{\mu }^{-}$
• Neutral B-meson mixing from full lattice QCD at the physical point
• One constraint to kill them all?
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• FLAG Review 2024
• Complete Vector-like Fourth Family and new $\mathrm{U}(1{)}^{\prime }$ for Muon Anomalies
• Heavy physics contributions to neutrinoless double beta decay from QCD
• Model-independent bounds on new physics effects in non-leptonic tree-level decays of B-mesons
• New Physics in $b\to s{\mu }^{+}{\mu }^{-}$: Distinguishing Models through CP-Violating Effects
• Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass Lattice QCD
• The CKM parameters in the SMEFT
• The Exclusive Vision of Rare $K$ and $B$ Decays and of the Quark Mixing in the Standard Model
• $B^0-{\bar{B}}^0$ Mixing at Next-to-Leading Order
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
• Decay Constants and Distribution Amplitudes of B Meson in the Relativistic Potential Model
• Lattice QCD Inputs for Nuclear Double Beta Decay
• 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
• $B^0$-${\bar{B}}^0$ mixing: matching to HQET at NNLO
• Charged Higgs boson contribution to $B_q^{-}\to \ell \bar{\nu }$ and $\bar{B}\to (P,V)\ell \bar{\nu }$ in a generic two-Higgs doublet model
• 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
• New physics contributions in $B\to \pi \tau \bar{\nu }$ and $B\to \tau \bar{\nu }$
• Testing the Standard Model under the weight of heavy flavors
• Leptonic B- and D-meson decay constants with 2+1 flavors of asqtad fermions
• Alternative implementation of atomic form factors
• Non-perturbative renormalization of the static quark theory in a large volume
• Neutral B-meson mixing parameters in and beyond the SM with 2+1 flavor lattice QCD
• CP Violation in the $B_s^0$ system
• Summary of CKM 2016 Working Group 4 : mixing and mixing-related $CP$ violation in the $B$ system
• Rare Leptonic B decays