Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass Lattice QCD

Abstract

We present precise lattice computations for the b-quark mass, the quark mass ratios mb/mc and mb/ms as well as the leptonic B-decay constants. We employ gauge configurations with four dynamical quark flavors, up/down, strange and charm, at three values of the lattice spacing (a ~ 0.06 - 0.09 fm) and for pion masses as low as 210 MeV. Interpolation in the heavy quark mass to the bottom quark point is performed using ratios of physical quantities computed at nearby quark masses exploiting the fact that these ratios are exactly known in the static quark mass limit. Our results are also extrapolated to the physical pion mass and to the continuum limit and read: mb(MSbar, mb) = 4.26(10) GeV, mb/mc = 4.42(8), mb/ms = 51.4(1.4), fBs = 229(5) MeV, fB = 193(6) MeV, fBs/fB = 1.184(25) and (fBs/fB)/(fK/fpi) = 0.997(17).

arXiv commentVersion to appear in PRD. Added comments to simulation setup and error budget discussion. 1+20 pages, 9 figures

References in corpus (46)

• The Anatomy of Electro-Weak Symmetry Breaking. I: The Higgs boson in the Standard Model
• Observation of the rare $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay from the combined analysis of CMS and LHCb data
• The three loop relation between the \bar {MS} and the pole quark masses
• Chirally improving Wilson fermions - I. O(a) improvement
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Chirally improving Wilson fermions II. Four-quark operators
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• B- and D-meson decay constants from three-flavor lattice QCD
• Decay width of light quark hybrid meson from the lattice
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Dynamical Twisted Mass Fermions with Light Quarks
• Evidence for B- -> tau- nu_tau-bar with a Hadronic Tagging Method Using the Full Data Sample of Belle
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Chirally improving Wilson fermions
• The B and B_s Meson Decay Constants from Lattice QCD
• Leptonic decay constants fK, fD and fDs with Nf = 2+1+1 twisted-mass lattice QCD
• Evidence of B-->tau nu decays with hadronic B tags
• Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD
• Quark mass dependence of hadron masses from lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• B-physics from Nf=2 tmQCD: the Standard Model and beyond
• Three-loop anomalous dimension of the heavy-light quark current in HQET
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory
• A proposal for B-physics on current lattices
• Scaling in SU(3) Pure Gauge Theory with a Renormalization Group Improved Action
• Neutral $B$ meson mixings and $B$ meson decay constants with static heavy and domain-wall light quarks
• 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
• Precise Charm- and Bottom-Quark Masses: Theoretical and Experimental Uncertainties
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Chiral corrections and lattice QCD results for fBs/fBd and (Delta ms/Delta md)
• O(a^2) cutoff effects in lattice Wilson fermion simulations
• Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Revisiting f_B and m_b(m_b) from HQET spectral sum rules

Cited by in corpus (44)

• FLAG Review 2019
• FLAG Review 2021
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• 50 Years of Quantum Chromodynamics
• $\Delta M_s$ theory precision confronts flavour anomalies
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Measurement of the $B_s^0\to {\mu }^{+}{\mu }^{-}$ decay properties and search for the $B^0\to {\mu }^{+}{\mu }^{-}$ and $B_s^0\to {\mu }^{+}{\mu }^{-}\gamma$ decays
• Analysis of neutral $B$-meson decays into two muons
• Measurement of properties of B${}_{\mathrm{s}}^0\to {\mu }^{+}{\mu }^{-}$ decays and search for B${}^0\to {\mu }^{+}{\mu }^{-}$ with the CMS experiment
• FLAG Review 2024
• Challenges in Semileptonic B Decays
• New methods for B meson decay constants and form factors from lattice NRQCD
• Flavor Anomalies in Heavy Quark Decays
• Extraction of HQE parameters from unquenched lattice data on pseudoscalar and vector heavy-light meson masses
• Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions
• Masses and decay constants of $D_{(s)}^{\ast }$ and $B_{(s)}^{\ast }$ mesons in Lattice QCD with $N_f=2+1+1$ twisted-mass fermions
• Unitarity Bounds for Semileptonic Decays in Lattice QCD
• Constraints for the semileptonic $B\to D^{(\ast )}$ form factors from lattice QCD simulations of two-point correlation functions
• Quark masses and strong coupling constant in 2+1 flavor QCD
• Cornering the Two Higgs Doublet Model Type II
• Strong coupling constant and heavy quark masses in 2+1 flavor QCD
• $B_c\to B_{sJ}$ form factors and $B_c$ decays into $B_{sJ}$ in covariant light-front approach
• QCD factorization of the four-lepton decay $B^{-}\to \ell {\bar{\nu }}_{\ell }{\ell }^{(\prime )}{\bar{\ell }}^{(\prime )}$
• SU(3)-breaking ratios for $D_{(s)}$ and $B_{(s)}$ mesons
• Strong coupling constant and quark masses from lattice QCD
• Prospects for $B_c^{+}$ and $B^{+}\to {\tau }^{+}{\nu }_{\tau }$ at FCC-ee
• Determination of ${\overline{m}}_b/{\overline{m}}_c$ and ${\overline{m}}_b$ from $n_f=4$ lattice QCD$+$QED
• Searching for New Physics with $\overline{\mathcal{B}}(B_{s,d}\to \mu \bar{\mu })/\Delta M_{s,d}$
• Isospin breaking in the decay constants of heavy mesons from QCD sum rules
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Weak nonleptonic decays of vector B-mesons
• Constraining inverse moment of $B$-meson distribution amplitude using Lattice QCD data
• Dispersion relations for $B^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime -}{\ell }^{\prime +}$ form factors
• Footprint in fitting $B\to D$ vector form factor and determination for $D$-meson leading-twist LCDA
• Local-duality QCD sum rules for strong isospin breaking in the decay constants of heavy-light mesons
• Analysis of $B_{(s)}^0\to {\mu }^{+}{\mu }^{-}$ decays at the LHC
• Radiative Decays of Heavy-light Mesons and the $f_{H,H^{\ast },H_1}^{(T)}$ Decay Constants
• Alternative implementation of atomic form factors
• Precision Tests in $b\to s{\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) at FCC-ee
• Enhancing $B_s\to e^{+}{e}^{-}$ to an Observable Level in the Two-Higgs-Doublet Model
• Heavy-Meson Decay Constants: Isospin Breaking from QCD Sum Rules
• $B_s^0\to {\mu }^{+}{\mu }^{-}$ in a flavor violating extension of MSSM
• Masses and decay constants of $B_c^{(\ast )}$ mesons with $N_f=2+1+1$ twisted mass fermions