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 (18)

• Measurement of form-factor independent observables in the decay $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Understanding the B->K*mu+mu- Anomaly
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Cornering New Physics in b --> s Transitions
• Measurement of the isospin asymmetry in $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• 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-
• B -> K^* Form Factors from Flavor Data to QCD and Back
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• Measurement of the differential branching fraction of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$
• An estimate of the B-->K*gamma form factor
• Visualization of semileptonic form factors from lattice QCD
• 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 to pi Decays
• Heavy Flavor Physics at ATLAS and CMS

Cited by in corpus (150)

• FLAG Review 2019
• FLAG Review 2021
• Angular analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay using $3\,\mbox{fb}^{-1}$ of integrated luminosity
• Differential branching fractions and isospin asymmetries of $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• Global analysis of $b\to s\ell \ell$ anomalies
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Exploration of new superconductors and functional materials and fabrication of superconducting tapes and wires of iron pnictides
• Angular analysis and differential branching fraction of the decay $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$
• Measurement of $CP$-averaged observables in the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay
• New physics in $b\to s$ transitions after LHC run 1
• On the impact of power corrections in the prediction of B->K*mu+mu- observables
• 50 Years of Quantum Chromodynamics
• Lepton-flavour violating $B$ decays in generic $Z^{\prime }$ models
• Review of Lepton Universality tests in B decays
• $B\to P$ and $B\to V$ Form Factors from $B$-Meson Light-Cone Sum Rules beyond Leading Twist
• Comprehensive Bayesian Analysis of Rare (Semi)leptonic and Radiative B Decays
• $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays at large recoil in the Standard Model: a theoretical reappraisal
• Deuterium target data for precision neutrino-nucleus cross sections
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• On the anomalies in the latest LHCb data
• Measurement of angular parameters from the decay ${\mathrm{B}}^0\to {\mathrm{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Angular analysis of the decay B0 to K*0 mu mu from pp collisions at sqrt(s) = 8 TeV
• Calculation of $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ and $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$ observables using form factors from lattice QCD
• Status of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ anomaly after Moriond 2017
• Long-distance effects in $B\to K^{\ast }\ell \ell$ from Analyticity
• Rare $B$ Decays as Tests of the Standard Model
• New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ confronts new data on Lepton Universality
• $B\to K{l}^{+}{l}^{-}$ 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
• Multichannel one-to-two transition amplitudes in a finite volume
• Diagnosing lepton-nonuniversality in $b\to s\ell \ell$
• Patterns of Flavour Violation in Models with Vector-Like Quarks
• Multichannel 0-to-2 and 1-to-2 transition amplitudes for arbitrary spin particles in a finite volume
• Lepton flavor non-universality in $b\to s{\ell }^{+}{\ell }^{-}$ processes
• Non-local matrix elements in $B_{(s)}\to \{K^{(\ast )},\varphi \}{\ell }^{+}{\ell }^{-}$
• To (b)e or not to (b)e: No electrons at LHCb
• Generalised helicity formalism, higher moments and the $B\to K_{J_K}(\to K\pi ){\bar{\ell }}_1{\ell }_2$ angular distributions
• Angular analysis of the $B^{+}\to K^{\ast +}{\mu }^{+}{\mu }^{-}$ decay
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• $b\to s\ell \ell$ Global Fits after $R_{K_S}$ and $R_{K^{\ast +}}$
• Revisiting $B\to K^{(\ast )}\nu \bar{\nu }$ decays in the Standard Model and beyond
• Precision calculations of $B\to V$ form factors in QCD
• FLAG Review 2024
• Implications for New Physics in $b\to s\mu \mu$ transitions after recent measurements by Belle and LHCb
• The resonant ${\pi }^{+}\gamma \to {\pi }^{+}{\pi }^0$ amplitude from Quantum Chromodynamics
• Challenges in Semileptonic B Decays
• New methods for B meson decay constants and form factors from lattice NRQCD
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• An empirical model of the long-distance contributions to ${\bar{B}}^0\to {\bar{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ transitions
• Analysis of Charmless Two-body B decays in Factorization Assisted Topological Amplitude Approach
• Penguin contributions to CP phases in $B_{d,s}$ decays to charmonium
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• Distribution Amplitudes of $K^{\ast }$ and $\varphi$ at Physical Pion Mass from Lattice QCD
• Analysis of Two-body Charmed $B$ Meson Decays in Factorization-Assisted Topological-Amplitude Approach
• Flavor Anomalies in Heavy Quark Decays
• Measuring the Breaking of Lepton Flavour Universality in $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$
• New-physics signals of a model with a vector-singlet up-type quark
• Weak decays of unstable $b$-mesons
• ${\mathbf{B}}_{\mathbf{s}}\to {\mathbf{K}}^{(\ast )}\mathbf{\ell }\bar{\nu }$, Angular Analysis, S-wave Contributions and $|{\mathbf{V}}_{\mathbf{ub}}|$
• Time dependence in $B\to V\ell \ell$ decays
• Charmless $B_{(s)}\to VV$ Decays in Factorization-Assisted Topological-Amplitude Approach
• Lepton polarization asymmetries in rare semi-tauonic $b\to s$ exclusive decays at FCC-$ee$
• Review of experimental and theoretical status of the proton radius puzzle
• Bayesian analysis of $b\to s{\mu }^{+}{\mu }^{-}$ Wilson coefficients using the full angular distribution of ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decays
• The $B\to K^{\ast }$ form factors on the lattice
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• Rare b hadron decays at the LHC
• Nuclear Reactions from Lattice QCD
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Constraints on tensor and scalar couplings from $B\to K\bar{\mu }\mu$ and $B_s\to \bar{\mu }\mu$
• Opportunities for lattice QCD in quark and lepton flavor physics
• $B_s^0\to {\ell }^{+}{\ell }^{-}\gamma$ as a Test of Lepton Flavor Universality
• Angular analysis of the decay B${}^{+}$ $\to$ K${}^{\ast }$(892)${}^{+}{\mu }^{+}{\mu }^{-}$ in proton-proton collisions at $\sqrt{s}=$ 8 TeV
• Disentangling left and right-handed neutrino effects in $B\to K^{(\ast )}\nu \nu$
• Higgs portal to dark matter and $B\to K^{(\ast )}$ decays
• The isospin asymmetry in $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ using AdS/QCD
• Decay $B_s\to \varphi {\ell }^{+}{\ell }^{-}$ in covariant quark model
• Amplitude analysis of the $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decay
• Radiative decay of the resonant $K^{\ast }$ and the $\gamma K\to K\pi$ amplitude from lattice QCD
• Direct determination of Wilson coefficients using $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Angular analysis of the B${}^0$ $\to$ K${}^{\ast }$(892)${}^0{\mu }^{+}{\mu }^{-}$ decay in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• New physics in $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$: A model independent analysis
• Heavy + heavy and heavy + light pseudoscalar to vector semileptonic transitions
• $CP$ violation in $b\to s\ell \ell$: a model independent analysis
• Zooming in on $B\to K^{\ast }\ell \ell$ decays at low recoil
• $B\to K^{\ast }$ Transition Form Factors and the Semi-leptonic Decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Assessing lepton-flavour non-universality from $B\to K^{\ast }\ell \ell$ angular analyses
• Implications of the $R_K$ and $R_{K^{\ast }}$ anomalies
• Analyzing $b\to u$ transitions in semileptonic ${\bar{B}}_s\to K^{\ast +}(\to K\pi ){\ell }^{-}{\bar{\nu }}_{\ell }$ decays
• Reconsideration of the $B\to K^{\ast }$ Transition Form Factors within the QCD Light-Cone Sum Rules
• Determination of short- and long-distance contributions in $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Impact of vector new physics couplings on $B_s\to (K,K^{\ast })\tau \nu$ and $B\to \pi \tau \nu$ decays
• Recent Developments on the CKM Matrix
• Diquark Explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Study of ${\bar{B}}_s\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays in the PQCD factorization approach with the lattice QCD input
• The PQCD approach towards to next-to-leading order: a short review
• Progress on semi-leptonic $B_{(s)}$ decays
• Revisiting $B\to K^{\ast }(\to K\pi )\nu \bar{\nu }$ decays
• Status of rare exclusive $B$ meson decays in 2018
• The $B\to \rho$ helicity form factors within the QCD light-cone sum rules
• $B\to \rho \ell \bar{\nu }$ resonance form factors from $B\to \pi \pi \ell \bar{\nu }$ in lattice QCD
• Latest results on rare decays from LHCb
• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• Direct Constraints, Flavor Physics, and Flavor Anomalies in Composite Higgs Models
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Light and strange vector resonances from lattice QCD at physical quark masses
• Test of lepton flavour universality with $B_s^0\to \varphi {\ell }^{+}{\ell }^{-}$ decays
• Effect of $c\overline{c}$ resonances in the branching ratio and forward-backward asymmetry of the decay $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$
• Long-distance weak annihilation contribution to the $B^{\pm }\to ({\pi }^{\pm },K^{\pm }){\ell }^{+}{\ell }^{-}$ decays
• Probing transition form factors in the rare $B\to K^{\ast }\nu \bar{\nu }$ decay
• Extraction of the CKM phase $\gamma$ from charmless two-body B meson decays
• Towards establishing Lepton Flavour Universality violation in $\bar{B}\to {\bar{K}}^{\ast }{\ell }^{+}{\ell }^{-}$ decays
• $D\to P(\pi ,K)$ helicity form factors within light-cone sum rule approach
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD
• Interplay of the charged Higgs effects in $R_{D^{(\ast )}}$, $b\to s{\ell }^{+}{\ell }^{-}$ and $W$-mass
• Leptophilic Axion-like Particles at Forward Detectors
• Dispersion relations for $B^{-}\to {\ell }^{-}{\bar{\nu }}_{\ell }{\ell }^{\prime -}{\ell }^{\prime +}$ form factors
• Flavour Anomalies in $b\to s{\ell }^{+}{\ell }^{-}$ Processes - a round table Discussion
• Exploring Constraints on Simplified Dark Matter Model Through Flavour and Electroweak Observables
• Form factors for semi-leptonic $B$ decays
• The role of long distance contribution to the $B\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ in the Standard Model
• Electroweak Penguin Decays of $b$-Flavoured Hadrons
• Data-driven analyses and model-independent fits for present $b\to s\ell \ell$ results
• The b --> s l^+ l^- anomalies and their implications for new physics
• Investigating the effect of $U_1$ vector leptoquark on $b\to u\tau \bar{\nu }$ mediated $B$ decays
• Quark flavor physics and lattice QCD
• Hadronic form factors for rare semileptonic $B$ decays
• Impact on $L$-observables of a new combined analysis of $B_{d,s}\to K^{(\ast )}$ form factors
• Explaining the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies in $Z^{\prime }$ scenarios with top-FCNC couplings
• New Physics Interpretations of the B-->K*mu+mu- Anomaly
• Precision Tests in $b\to s{\ell }^{+}{\ell }^{-}$ ($\ell =e,\mu$) at FCC-ee
• Quark Flavor Physics Review
• Recent progress in decays of $b$ and $c$ hadrons
• Summary of the CKM 2016 working group on rare decays
• Rare b-hadron decays as probe of new physics
• Tensions in the flavour sector
• The asymmetries of the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay and the search of new physics beyond the Standard Model
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• $B\to K^{\ast }\ell \ell$ Standard Model contributions -- Zooming in on high $q^2$
• Summary of the CKM 2014 working group on rare decays
• Constraining ${\lambda }_{B_s}$ by $B_s\to {\gamma }^{\ast }$ and $B_s\to \varphi$ form factors
• Quark-hadron phase transition in massive gravity
• Light-front holography in $B$ physics
• Theoretical implications of recent heavy flavour measurements at the LHC
• Model-independent unbinned analysis of $B\to K^{\ast }(\to K^{+}{\pi }^{-}){\mu }^{+}{\mu }^{-}$: zeroes, bounds, Wilson coefficients and symmetries
• Next-to-leading-order QCD calculations of $B\to A$ form factors with higher-twist corrections
• The application of light front holographic QCD to B physics