Lattice QCD calculation of the $B_{(s)}\to D_{(s)}^{\ast }\ell \nu$ form factors at zero recoil and implications for $|V_{cb}|$

Abstract

We present results of a lattice QCD calculation of $B\to D^{\ast }$ and $B_s\to D_s^{\ast }$ axial vector matrix elements with both states at rest. These zero recoil matrix elements provide the normalization necessary to infer a value for the CKM matrix element $|V_{cb}|$ from experimental measurements of ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ and ${\bar{B}}_s^0\to D_s^{\ast +}{\ell }^{-}\bar{\nu }$ decay. Results are derived from correlation functions computed with highly improved staggered quarks (HISQ) for light, strange, and charm quark propagators, and nonrelativistic QCD for the bottom quark propagator. The calculation of correlation functions employs MILC Collaboration ensembles over a range of three lattice spacings. These gauge field configurations include sea quark effects of charm, strange, and equal-mass up and down quarks. We use ensembles with physically light up and down quarks, as well as heavier values. Our main results are ${\mathcal{F}}^{B\to D^{\ast }}(1)=0.895\pm 0.010_{\mathrm{stat}}\pm {0.024}_{\mathrm{sys}}$ and ${\mathcal{F}}^{B_s\to D_s^{\ast }}(1)=0.883\pm 0.010_{\mathrm{stat}}\pm 0.028_{\mathrm{sys}}$. We discuss the consequences for $|V_{cb}|$ in light of recent investigations into the extrapolation of experimental data to zero recoil.

arXiv comment23 pages. v3: Typos corrected. v2: Improved treatment of finite volume effects. Small change to some results (but smaller than the quoted uncertainties). Version accepted for publication in Phys. Rev. D

References in corpus (62)

• Heavy Quark Symmetry
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• On the Viability of Lattice Perturbation Theory
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Mesons with Beauty and Charm: Spectroscopy
• The Physics of the B Factories
• Dispersive Bounds on the Shape of B -> D^(*) l nu Form Factors
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Constrained Curve Fitting
• Combined analysis of semileptonic $B$ decays to $D$ and $D^{\ast }$: $R(D^{(\ast )})$, $|V_{cb}|$, and new physics
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Precision Corrections to Dispersive Bounds on Form Factors
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• $R(D^{\ast })$, $|V_{cb}|$, and the Heavy Quark Symmetry relations between form factors
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• Correlations among new CP violating effects in Delta F = 2 observables
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Scaling studies of QCD with the dynamical HISQ action
• Radiative Transitions in Charmonium from Lattice QCD
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• Extraction of $|V_{cb}|$ from $B\to D^{(\ast )}\ell {\nu }_{\ell }$ and the Standard Model predictions of $R(D^{(\ast )})$
• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• A fresh look at the determination of |V_cb| from B-> D^* l nu
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Precision determination of the CKM element Vcb
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• B-meson decay constants: a more complete picture from full lattice QCD
• Model-Independent Extraction of $|V_{cb}|$ from $\bar{B}\to D^{\ast }\ell \overline{\nu }$
• Measurement of the B -> D^* l nu Branching Fractions and |Vcb|
• $B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules
• Heavy meson chiral perturbation theory in finite volume
• Measurement of the form factors of the decay B0 -> D*- ell+ nu and determination of the CKM matrix element |Vcb|
• Measurements of the Semileptonic Decays $\Bb\to D\ell\nub$ and $\Bb\to D^*\ell\nub$ Using a Global Fit to $D X\ell\nub$ Final States
• Gradient flow and scale setting on MILC HISQ ensembles
• Determination of the Form Factors for the Decay B0 -> D*- l+ nu_l and of the CKM Matrix Element |V_cb|
• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
• Tensions and correlations in $|V_{cb}|$ determinations
• 'Bs --> Ds l nu' near zero recoil in and beyond the Standard Model
• Measurement of |Vcb| using B0 to D*l nu decays
• Tests of Improved Kogut-Susskind Fermion Actions
• Matching lattice and continuum axial-vector and vector currents with NRQCD and HISQ quarks
• Measurement of V_{cb} from the decay process \bar{B^0} -> D^{*+} \ell^- \barν
• Precise determination of the CKM matrix element $\left|V_{cb}\right|$ with ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}{\bar{\nu }}_{\ell }$ decays with hadronic tagging at Belle
• Perturbative matching of lattice and continuum heavy-light currents with NRQCD heavy quarks
• Measurement of |V_cb| using the semileptonic decay anti-B0d -> D*+ l- anti-nu_l
• Determination of the B-bar --> D* l nu-bar Decay Width and |V_cb|
• B -> D* l nu and B -> D l nu form factors in staggered chiral perturbation theory
• Measurement of the Decay B- --> D*0 e- nubar
• Measurement of $B_s^0$ and $D_s^{-}$ meson lifetimes
• $|V_{cb}|$ from the ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ zero-recoil form factor using $2+1+1$ flavour HISQ and NRQCD
• $\overline{B}\to D^{\ast }\ell \overline{\nu }$ at non-zero recoil

Cited by in corpus (46)

• FLAG Review 2019
• FLAG Review 2021
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2021
• 50 Years of Quantum Chromodynamics
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• The $V_{cb}$ puzzle: an update
• Footprints of New Physics in $b\to c\tau \nu$ Transitions
• Theory determination of $\bar{B}\to D^{(\ast )}{\ell }^{-}\bar{\nu }$ form factors at $\mathcal{O}(1/m_c^2)$
• Heavy-Quark Expansion for ${\bar{B}}_s\to D_s^{(\ast )}$ Form Factors and Unitarity Bounds beyond the $SU(3{)}_F$ Limit
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Addressing $R_{D^{(\ast )}}$, $R_{K^{(\ast )}}$, muon $g-2$ and ANITA anomalies in a minimal $R$-parity violating supersymmetric framework
• FLAG Review 2024
• $R(J/\psi )$ and $B_c^{-}\to J/\psi {\ell }^{-}{\bar{\nu }}_{\ell }$ Lepton Flavor Universality Violating Observables from Lattice QCD
• Challenges in Semileptonic B Decays
• Lepton-flavour non-universality of $\bar{B}\to D^{\ast }\ell \bar{\nu }$ angular distributions in and beyond the Standard Model
• The role of right-handed neutrinos in $b\to c\tau \bar{\nu }$ anomalies
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• $B_c\to J/\psi$ Form Factors for the full $q^2$ range from Lattice QCD
• Flavor Anomalies in Heavy Quark Decays
• Unitarity Bounds for Semileptonic Decays in Lattice QCD
• Revisit to the $b\to c\tau \nu$ transition: in and beyond the SM
• Investigation of Effects of New Physics in ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ Decay
• Model-Independent Bounds on $R(J/\psi )$
• $B\to D^{\ast }\ell {\nu }_{\ell }$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks
• $B_s\to D_s^{\ast }$ Form Factors for the full $q^2$ range from Lattice QCD
• Precision Model-Independent Bounds from Global Analysis of $b\to c\ell \nu$ Form Factors
• Semileptonic decays $B/B_s\to (D^{(\ast )},D_s^{(\ast )})l{\nu }_l$ in the PQCD approach with the lattice QCD input
• The $D_s$-meson leading-twist distribution amplitude within the QCD sum rules and its application to the $B_s\to D_s$ transition form factor
• Lepton Flavor Universality tests through angular observables of $\overline{B}\to D^{(\ast )}\ell \overline{\nu }$ decay modes
• Tests of the Standard Model in $B\to D\ell {\nu }_{\ell }$, $B\to D^{\ast }\ell {\nu }_{\ell }$ and $B_c\to J/\psi \ell {\nu }_{\ell }$
• Model-Independent Prediction of $R({\eta }_c)$
• Form factor ratios for $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic decays and $|V_{ub}/V_{cb}|$
• Measurement of the shape of the $B_s^0\to D_s^{\ast -}{\mu }^{+}{\nu }_{\mu }$ differential decay rate
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Implication of $b\to c\tau \nu$ flavor anomalies on $B_s\to D_s^{\ast }\tau \nu$ decay observables
• New physics footprints in the angular distribution of $B_s\to D_s^{\ast }(\to D_s\gamma ,D_s\pi )\tau \nu$ decays
• ${\bar{B}}_c\to {\eta }_c$, ${\bar{B}}_c\to J/\psi$ and $\bar{B}\to D^{(\ast )}$ semileptonic decays including new physics
• First lattice QCD calculation of $J/\psi$ semileptonic decay containing $D$ and $D_s$ particles
• Hints and challenges in heavy flavor physics
• Continuity and Semileptonic $B_{(s)}\to D_{(s)}$ Form Factors
• Quark flavor physics and lattice QCD
• Probing $D_s^{\ast }$-meson longitudinal twist-2 LCDA
• Closing the Gap on $R_{D^{\ast }}$ by including longitudinal effects
• Semileptonic $B\to D^{(\ast )}\ell \nu$ Decay Form Factors using the Oktay-Kronfeld Action
• Extraction of $B_s\to D_s^{(\ast )}$ form factors from $N_f=2$ lattice QCD