${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD

Abstract

We present the first lattice QCD determination of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ vector, axial vector, and tensor form factors that are relevant for the rare decays ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$. The lattice calculation is performed in the ${\Lambda }^{\ast }(1520)$ rest frame with nonzero ${\Lambda }_b$ momenta, and is limited to the high-$q^2$ region. An interpolating field with covariant derivatives is used to obtain good overlap with the ${\Lambda }^{\ast }(1520)$. The analysis treats the ${\Lambda }^{\ast }(1520)$ as a stable particle, which is expected to be a reasonable approximation for this narrow resonance. A domain-wall action is used for the light and strange quarks, while the $b$ quark is implemented with an anisotropic clover action with coefficients tuned to produce the correct $B_s$ kinetic mass, rest mass, and hyperfine splitting. We use three different ensembles of lattice gauge-field configurations generated by the RBC and UKQCD collaborations, and perform extrapolations of the form factors to the continuum limit and physical pion mass. We give Standard-Model predictions for the ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ differential branching fraction and angular observables in the high-$q^2$ region.

arXiv comment28 pages, 9 figures

References in corpus (56)

• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• A Method for Simulating Chiral Fermions on the Lattice
• The Chroma Software System for Lattice QCD
• Chiral Fermions from Lattice Boundaries
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• B-physics anomalies: a guide to combined explanations
• Domain wall QCD with physical quark masses
• Scattering processes and resonances from lattice QCD
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• B-decay discrepancies after Moriond 2019
• Lattice QCD calculation of form factors describing the rare decays $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\ell }^{+}{\ell }^{-}$
• Scattering phases for meson and baryon resonances on general moving-frame lattices
• ${\Lambda }_b\to p{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ form factors from lattice QCD with relativistic heavy quarks
• A new class of variance reduction techniques using lattice symmetries
• Emerging patterns of New Physics with and without Lepton Flavour Universal contributions
• Theory of B -> K(*)l+l- decays at high q^2: OPE and quark-hadron duality
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Rare $B$ Decays as Tests of the Standard Model
• Covariant approximation averaging
• Observation of the Baryonic Flavor-Changing Neutral Current Decay Lambda_b -> Lambda mu+ mu-
• ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ 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
• Multichannel 0-to-2 and 1-to-2 transition amplitudes for arbitrary spin particles in a finite volume
• Lattice QCD calculation of $\bar{B}\to Dl\bar{\nu }$ decay form factors at zero recoil
• Flavour Changing Neutral Current Decays of Heavy Baryons: The Case ${\Lambda }_b\to \Lambda \gamma$
• The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD
• Semileptonic Decays of Heavy Lambda Baryons in a Quark Model
• Angular Analysis of the Decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$
• Exclusive Rare Decays of Heavy Baryons to Light Baryons: $Λ_b \ri ghtarrow Λγ$ and ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• Probing for New Physics in Polarized ${\Lambda }_b$ decays at the Z
• Test of lepton universality with ${\Lambda }_b^0\to p{K}^{-}{\ell }^{+}{\ell }^{-}$ decays
• Angular moments of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$ at low hadronic recoil
• Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD
• Rare dileptonic decays of Λ_b in a quark model
• Nonperturbative tuning of an improved relativistic heavy-quark action with application to bottom spectroscopy
• Measurement of the differential branching fraction of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$
• Photon polarization from helicity suppression in radiative decays of polarized Lambda_b to spin-3/2 baryons
• Calibration of Smearing and Cooling Algorithms in SU(3)-Color Gauge Theory
• Low-lying Lambda Baryons from the Lattice
• Model independent New Physics analysis in ${\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-}$ decay
• Angular distribution of polarised ${\Lambda }_b$ baryons decaying to $\Lambda {\ell }^{+}{\ell }^{-}$
• 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
• T violation in ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decays with polarized $\Lambda$
• Using ${\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-}$ data within a Bayesian analysis of $|\Delta B|=|\Delta S|=1$ decays
• Semileptonic Lambda_b decay to excited Lambda_c baryons at order Lambda_{QCD}/m_Q
• First observation of the radiative decay ${\Lambda }_b^0\to \Lambda \gamma$
• Angular analysis of the rare decay ${\Lambda }_b\to \Lambda (1520)(\to NK){\ell }^{+}{\ell }^{-}$
• Observation of the decay ${\Lambda }_b^0\to p{K}^{-}{\mu }^{+}{\mu }^{-}$ and a search for $CP$ violation
• Angular Distribution and Polarization of Photons in the Inclusive Decay ${\Lambda }_b\to X_s\gamma$
• Photon helicity in Lambda_b --> p K gamma decays
• Moving NRQCD for heavy-to-light form factors on the lattice
• Testing lepton flavour universality in semileptonic ${\Lambda }_b\to {\Lambda }_c^{\ast }$ decays
• The ${\Lambda }_b\to {\Lambda }^{\ast }(1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ decay at low-recoil in HQET
• Towards an amplitude analysis of the decay ${\Lambda }_b^0\to p{K}^{-}\gamma$
• Angular distribution of the rare decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$

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• ${\Xi }_c\to \Xi$ form factors from lattice QCD with domain-wall quarks: A new piece in the puzzle of ${\Xi }_c^0$ decay rates
• Measurement of the ${\Lambda }_b^0\to \Lambda (1520){\mu }^{+}{\mu }^{-}$ differential branching fraction
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Recent progress in decays of $b$ and $c$ hadrons
• ${\Xi }_b\to \Xi$ form factors from lattice QCD and Standard-Model predictions for ${\Xi }_b\to \Xi {\mu }^{+}{\mu }^{-}$ and ${\Xi }_b\to \Xi \gamma$ decays
• Heavy quark expansion of ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ form factors beyond leading order
• Angular Distributions in Rare $b$ Decays
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions