Lattice QCD calculation of form factors describing the rare decays $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\ell }^{+}{\ell }^{-}$

Abstract

The rare decays $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ and $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ are now being observed with enough precision to test Standard Model predictions. A full understanding of these decays requires accurate determinations of the corresponding hadronic form factors. Here we present results of lattice QCD calculations of the $B\to K^{\ast }$ and $B_s\to \varphi$ form factors; we also determine the form factors relevant for the tree-level decays $B_s\to K^{\ast }\ell \nu$. We use full-QCD configurations including 2+1 flavors of sea quarks using an improved staggered action, and we employ lattice non-relativistic QCD to describe the bottom quark.

23 pages. Version 3 (accepted to Phys. Rev. D) includes interpolations to the physical strange quark mass. Central values shift by less than 1 sigma. Tables and figures updated accordingly

References in corpus (86)

• On the Viability of Lattice Perturbation Theory
• Improved Nonrelativistic QCD for Heavy Quark Physics
• B_{d,s}->rho, omega, K*, phi Decay Form Factors from Light-Cone Sum Rules Revisited
• Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond
• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Charm-loop effect in $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ and $B\to K^{\ast }\gamma$
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Understanding the B->K*mu+mu- Anomaly
• Theoretical Uncertainties and Phenomenological Aspects of $B\to X_s\gamma$ Decay
• Model-independent description of $B\to \pi l\nu$ decays and a determination of $|V_{ub}|$
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Constraints on Form Factors For Exclusive Semileptonic Heavy to Light Meson Decays
• Optimizing the basis of B->K*ll observables in the full kinematic range
• Variants of fattening and flavor symmetry restoration
• Constrained Curve Fitting
• Implications from clean observables for the binned analysis of B -> K*ll at large recoil
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• Comment on the heavy-->light form factors
• Probing New Physics Via the Transverse Amplitudes of B0-> K*0(-> K- pi+) l+l- at Large Recoil
• On B -> V l l at small dilepton invariant mass, power corrections, and new physics
• Scheme Independence of the Effective Hamiltonian for $b\to s\gamma$ and $b\to sg$ Decays
• Measurement of Branching Fractions and Rate Asymmetries in the Rare Decays B -> K(*) l+ l-
• Anomalous Dimension Matrix for Radiative and Rare Semileptonic B Decays up to Three Loops
• Exclusive rare B -> K*e+e- decays at low recoil: controlling the long-distance effects
• Differential branching fraction and angular analysis of the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• Physical Results from Unphysical Simulations
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Testing improved actions for dynamical Kogut-Susskind quarks
• The Benefits of B ---> K* l+ l- Decays at Low Recoil
• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• Leading Order QCD Corrections to $b\to s\gamma$ and $b\to sg$ Decays in Three Regularization Schemes
• Differential branching fraction and angular analysis of the decay $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$
• Observation of the Baryonic Flavor-Changing Neutral Current Decay Lambda_b -> Lambda mu+ mu-
• General Analysis of B -> K^(*) l^+ l^- Decays at Low Recoil
• Completing the NLO QCD calculation of B -> Xs gamma
• Precise determination of the lattice spacing in full lattice QCD
• A Precision Model Independent Determination of |Vub| from B -> pi e nu
• Rare decay B -> K ll form factors from lattice QCD
• Model-independent constraints on new physics in b --> s transitions
• Theoretical and Phenomenological Constraints on Form Factors for Radiative and Semi-Leptonic B-Meson Decays
• Lattice-Constrained Unitarity Bounds for ${\bar{B}}^0\to {\pi }^{+}{l}^{-}{\bar{\nu }}_l$ Decays
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Standard Model predictions for B -> Kll with form factors from lattice QCD
• Cornering New Physics in b --> s Transitions
• $b\to s\gamma$ AND $b\to sg$: A THEORETICAL REAPPRAISAL
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• Angular Distribution and CP Asymmetries in the Decays B->K^-pi^+e^-e^+ and B->pi^-pi^+e^-e^+
• Scaling tests of the improved Kogut-Susskind quark action
• Analyticity, Shapes of Semileptonic Form Factors, and B to pi l nu
• Measurement of the isospin asymmetry in $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• QCD estimate of the long-distance effect in $B\to K^{\ast }\gamma$
• Form Factors for B -> pi l nu-bar_l and B -> K* gamma Decays on the Lattice
• Heavy-light mesons with staggered light quarks
• Observation of a resonance in $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ decays at low recoil
• Angular analysis and branching fraction measurement of the decay B0 to K*0 mu+ mu-
• Lattice calculation of the zero-recoil form factor of anti-B --> D* lepton anti-neutrino: toward a model independent determination of |V(cb)|
• The exclusive rare decays B -> K l(bar) l and B_c -> D(D*) l(bar) l in a relativistic quark model
• B -> K^* Form Factors from Flavor Data to QCD and Back
• Measurement of the Forward-Backward Asymmetry in the B -> K(*) mu+ mu- Decay and First Observation of the Bs -> phi mu+ mu- Decay
• Measurement of the differential branching fraction of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$
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• Chiral Perturbation Theory for $B\to D^{\ast }$ and $B\to D$ Semileptonic Transition Matrix Elements at Zero Recoil
• Visualization of semileptonic form factors from lattice QCD
• $B\to K^{\ast }+\gamma$ and $B_s\to \varphi +\gamma$ on the Lattice
• Heavy-to-light meson form factors at large recoil
• Heavy to light vector meson semileptonic decays
• Rare semileptonic decays of B and B_c mesons in the relativistic quark model
• One-Loop Matching of the Heavy-Light A_0 and V_0 Currents with NRQCD Heavy and Improved Naive Light Quarks
• Measurement of the $B^0\to K^{\ast 0}{e}^{+}{e}^{-}$ branching fraction at low dilepton mass
• B to rho ell nu form factors in lattice QCD
• Extracting $B\to K^{\ast }$ Form Factors from Data
• A lattice study of the exclusive $B\to K^{\ast }\gamma$ decay amplitude, using the Clover action at $\beta =6.0$
• B -> D* l nu and B -> D l nu form factors in staggered chiral perturbation theory
• $B\to K^{\ast }\gamma$: Penguins on the Lattice
• Moving NRQCD for heavy-to-light form factors on the lattice
• Rare $B_s$ decays in the relativistic quark model
• Extracting |V(ub)| from B->pi l nu Decays Using a Multiply-subtracted Omnes Dispersion Relation
• |Vub| from Exclusive Semileptonic B--> rho Decays
• |Vub| from Exclusive Semileptonic B to pi Decays
• Form Factors for Semileptonic B -> pi and D -> pi Decays from the Omnes Representation
• Renormalization of heavy-light currents in moving NRQCD
• Improved Unitarity Bounds for B -> Pi Decays
• Heavy Flavor Physics at ATLAS and CMS

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