The ${\Lambda }_b\to {\Lambda }^{\ast }(1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ decay at low-recoil in HQET

Abstract

In this paper we discuss the Standard Model and new physics sensitivity of the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ decay at low-recoil, where ${\ell }^{\pm }$ are massive leptons and $N\bar{K}=\{p{K}^{-},n{\bar{K}}^0\}$. We provide a full angular distribution with a set of operators that includes the Standard Model operators and their chirality flipped counterparts, and new scalar and pseudo-scalar operators. The resulting angular distribution allows us to construct observables that we study in the Standard Model and in model-independent new physics scenarios. To reduce the hadronic effects emanating from the ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ transition form factors, we exploit the Heavy Quark Effective theory framework valid at low ${\Lambda }^{\ast }(1520)$ recoil, \emph{i.e.,} large dilepton invariant mass squared $q^2\sim \mathcal{O}(m_b^2)$. Working to the leading order in $1/m_b$ and including $\mathcal{O}({\alpha }_s)$ corrections, we compute the `improved Isgur-Wise relations' between the form factors. The relations correlate the form factors and thereby allow the description of this decay at the low-recoil region with a smaller number of independent form factors.

arXiv comment30 pages, 4 figures, 1 table, the version to appear in JHEP

References in corpus (41)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Test of lepton universality with $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil
• Symmetries and Asymmetries of B -> K* mu+ mu- Decays in the Standard Model and Beyond
• Systematic approach to exclusive B ->V l^+l^-, V gamma decays
• Effective Hamiltonian for $B \ra X_s e^+ e^-$ Beyond Leading Logarithms in the NDR and HV Schemes
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Differential branching fractions and isospin asymmetries of $B\to K^{(\ast )}{\mu }^{+}{\mu }^{-}$ decays
• Patterns of New Physics in $b\to s{\ell }^{+}{\ell }^{-}$ transitions in the light of recent data
• 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
• Heavy-to-Light Form Factors in the Final Hadron Large Energy Limit of QCD
• The Unitarity Triangle Fit in the Standard Model and Hadronic Parameters from Lattice QCD: A Reappraisal after the Measurements of Delta m_s and BR(B to tau nu)
• Exclusive radiative and electroweak b->d and b->s penguin decays at NLO
• 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
• Quantization of an interacting spin-3/2 field and the Delta isobar
• The Benefits of B ---> K* l+ l- Decays at Low Recoil
• Form Factors for Lambda_b -> Lambda Transitions in SCET
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• Rare baryon decays Lambda_b -> Lambda l+ l- (l=e, mu, tau) and Lambda_b -> Lambda gamma : Differential and total rates, lepton- and hadron-side forward-backward asymmetries
• Angular Analysis of the Decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$
• Resonances gone topsy turvy - the charm of QCD or new physics in $b\to s{\ell }^{+}{\ell }^{-}$?
• Heavy-to-light baryonic form factors at large recoil
• Angular moments of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$ at low hadronic recoil
• Rare dileptonic decays of Λ_b in a quark model
• Factorization of Heavy-to-Light Baryonic Transitions in SCET
• Analytic two-loop virtual corrections to $b-->d{l}^{+}{l}^{-}$
• Spin Formalism and Applications to New Physics Searches
• 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
• On the angular distribution of ${\Lambda }_b\to \Lambda (\to N\pi ){\tau }^{+}{\tau }^{-}$ decay
• Anatomy of a six-parameter fit to the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies
• Angular analysis of the rare decay ${\Lambda }_b\to \Lambda (1520)(\to NK){\ell }^{+}{\ell }^{-}$
• Lepton mass effects and angular observables in ${\Lambda }_b\to \Lambda (\to p\pi ){\ell }^{+}{\ell }^{-}$
• The $\bar{B}\to \bar{K}\pi \ell \ell$ and ${\bar{B}}_s\to \bar{K}K\ell \ell$ distributions at low hadronic recoil
• Angular distribution of the rare decay ${\Lambda }_b\to \Lambda (\to N\pi ){\ell }^{+}{\ell }^{-}$
• Lattice QCD calculation of form factors for ${\Lambda }_b\to \Lambda (1520){\ell }^{+}{\ell }^{-}$ decays

Cited by in corpus (9)

• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ 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
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• The time-dependent angular analysis of $B_d\to K_S\ell \ell$, a new benchmark for new physics
• Lepton flavour violation in rare ${\Lambda }_b$ decays
• Prospects for New Physics searches with ${\Lambda }_b\to \Lambda (1520){\ell }^{+}{\ell }^{-}$ decays
• Transition form factors and angular distributions of the ${\mathbf{\Lambda }}_{\mathbf{b}}\to \mathbf{\Lambda }(1520)(\to \mathbf{N}\bar{\mathbf{K}}){\mathbf{\ell }}^{+}{\mathbf{\ell }}^{-}$ decay supported by baryon spectroscopy
• Polarized ${\Lambda }_b$ baryon decay to $p\pi$ and a dilepton pair
• Angular distribution of ${\Lambda }_b^0\to p{K}^{-}{\ell }^{+}{\ell }^{-}$ decays comprising $\Lambda$ resonances with spin up to $\le 5/2$
• Heavy quark expansion of ${\Lambda }_b\to {\Lambda }^{\ast }(1520)$ form factors beyond leading order