The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD

Abstract

We present a lattice QCD calculation of the form factors and differential decay rates for semileptonic decays of the heavy-light mesons $B$ and $D$ to the final state $\pi l\nu$. The results are obtained with three methodological improvements over previous lattice calculations: a matching procedure that reduces heavy-quark lattice artifacts, the first study of lattice-spacing dependence, and the introduction of kinematic cuts to reduce model dependence. We show that the main systematics are controllable (within the quenched approximation) and outline how the calculations could be improved to aid current experiments in the determination of~$|V_{ub}|$ and~$|V_{cd}|$.

35 pp, 12 figs

Cited by in corpus (71)

• FLAG Review 2019
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• B- and D-meson decay constants from three-flavor lattice QCD
• Exclusive rare B -> K*e+e- decays at low recoil: controlling the long-distance effects
• $B_{(s)}^0$-mixing matrix elements from lattice QCD for the Standard Model and beyond
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• $|V_{ub}|$ from $B\to \pi \ell \nu$ decays and (2+1)-flavor lattice QCD
• Charmed meson decay constants in three-flavor lattice QCD
• Study of B --> pi l nu and B --> rho l nu Decays and Determination of |V_ub|
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks
• Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• B, D and K decays
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• ${\Lambda }_c\to \Lambda {\ell }^{+}{\nu }_{\ell }$ form factors and decay rates from lattice QCD with physical quark masses
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• ${\Lambda }_c\to N$ form factors from lattice QCD and phenomenology of ${\Lambda }_c\to n{\ell }^{+}{\nu }_{\ell }$ and ${\Lambda }_c\to p{\mu }^{+}{\mu }^{-}$ decays
• FLAG Review 2024
• Study of the q^2-Dependence of B --> pi ell nu and B --> rho(omega)ell nu Decay and Extraction of |V_ub|
• Lattice calculation of the zero-recoil form factor of anti-B --> D* lepton anti-neutrino: toward a model independent determination of |V(cb)|
• Heavy quark physics from lattice QCD
• $B$-meson light-cone distribution amplitude from the Euclidean quantity
• Heavy Quarks and Lattice QCD
• Application of heavy-quark effective theory to lattice QCD: II. Radiative corrections to heavy-light currents
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• $B\to \pi \ell \ell$ form factors for new-physics searches from lattice QCD
• B-meson decay constants from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B_s\to K\ell \nu$ decay from lattice QCD
• Recent results from lattice calculations
• Study of Semileptonic Charm Decays D^0 --> pi^- ell^+ nu and D^0 --> K^- ell^+ nu
• An estimate of the B-->K*gamma form factor
• Differential decay rate of $B\to \pi l\nu$ semileptonic decay with lattice NRQCD
• Visualization of semileptonic form factors from lattice QCD
• Application of heavy-quark effective theory to lattice QCD: III. Radiative corrections to heavy-heavy currents
• Semileptonic form factors D to pi, K and B to pi, K from a fine lattice
• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ form factors from lattice QCD and improved analysis of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ and ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625)$ form factors
• B-->pi and B-->K transitions in standard and quenched chiral perturbation theory
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• Semileptonic $B\to \pi$ Decays from an Omnès Improved Nonrelativistic Constituent Quark Model
• ${\Lambda }_b\to {\Lambda }_c^{\ast }(2595,2625){\ell }^{-}\bar{\nu }$ form factors from lattice QCD
• Phenomenology from lattice QCD
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Extracting |V(ub)| from B->pi l nu Decays Using a Multiply-subtracted Omnes Dispersion Relation
• Heavy Quark Physics and Lattice QCD
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• Charm Physics with BES-III at BEPC-II
• Methods for high-precision determinations of radiative-leptonic decay form factors using lattice QCD
• Heavy Quarks on the Lattice
• Gauge Theories on a 2+2 Anisotropic Lattice
• A model independent determination of $|V_{ub}|$ using the global $q^2$ dependence of the dispersive bounds on the $B\to \pi l\nu$ form factors
• Semileptonic B Decays from an NRQCD/D234 Action
• Information on $B\to \pi \pi$ Provided by the Semileptonic Process $B\to \pi l\nu$
• $B\to \rho \ell \bar{\nu }$ resonance form factors from $B\to \pi \pi \ell \bar{\nu }$ in lattice QCD
• Semileptonic decays of $D$ mesons in unquenched lattice QCD
• The factorizable amplitude in $B^0\to {\pi }^{+}{\pi }^{-}$
• Lattice results relevant to the CKM matrix determination
• Reweighting of the form factors in exclusive B --> X ell nu decays
• Ward Identities, B-> ρForm Factors and |V_ub|
• Light-Cone HQET Sum Rules for the B --> pi Transition with 1/m_Q Corrections
• Chiral 1/M^2 corrections to B^(*) -> D^(*) at Zero Recoil in Quenched Chiral Perturbation Theory
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
• Flavor Physics and the CKM Matrix: An Overview
• Remark on the Theoretical Uncertainty in $B^0$-${\bar{B}}^0$ Mixing
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Precision Measurements of the Semileptonic Charm Decays $D^0\to {\pi }^{-}{\ell }^{+}\nu$ and $D^0\to K^{-}{\ell }^{+}\nu$