Comparative analysis of the ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ decay in the SM, SUSY and RS model with custodial protection

Abstract

We comparatively analyze the rare ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ channel in standard model, supersymmetry and Randall-Sundrum model with custodial protection (RS${}_c$). Using the parametrization of the matrix elements entering the low energy effective Hamiltonian in terms of form factors, we calculate the corresponding differential decay width and lepton forward-backward asymmetry in these models. We compare the results obtained with the most recent data from LHCb as well as lattice QCD results on the considered quantities. It is obtained that the standard model, with the form factors calculated in light-cone QCD sum rules, can not reproduce some experimental data on the physical quantities under consideration but the supersymmetry can do it. The RS${}_c$ model predictions are roughly the same as the standard model and there are no considerable differences between the predictions of these two models. In the case of differential decay rate, the data in the range $4$ GeV${}^2/$c${}^4\le$ $q^2\le 6$ GeV${}^2/$c${}^4$ can not be described by any of the considered models.

arXiv comment28 Pages, 12 Figures and 3 Tables

References in corpus (35)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• Measurement of the properties of a Higgs boson in the four-lepton final state
• Effective Hamiltonian for $B \ra X_s e^+ e^-$ Beyond Leading Logarithms in the NDR and HV Schemes
• Observation of the diphoton decay of the Higgs boson and measurement of its properties
• Theoretical Uncertainties and Phenomenological Aspects of $B\to X_s\gamma$ Decay
• Measurement of the Higgs boson mass from the $H\to \gamma \gamma$ and $H\to Z{Z}^{\ast }\to 4\ell$ channels with the ATLAS detector using 25 fb${}^{-1}$ of $pp$ collision data
• Weak Hamiltonian, CP Violation and Rare Decays
• Delta F=2 Observables and Fine-Tuning in a Warped Extra Dimension with Custodial Protection
• Rare K and B Decays in a Warped Extra Dimension with Custodial Protection
• Form Factors for Lambda_b -> Lambda Transitions in SCET
• 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
• Analysis of the $Λ_{b}\rar Λ\ell^+\ell^- $ decay in QCD
• The Custodial Randall-Sundrum Model: From Precision Tests to Higgs Physics
• Electroweak and Flavour Structure of a Warped Extra Dimension with Custodial Protection
• Exclusive semileptonic rare decays $B-{>}_{(}$K,K^*) \ell^+ \ell^- in supersymmetric theories
• Lepton Asymmetries in Heavy Baryon Decays of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• The birds and the Bs in RS: the b to s gamma penguin in a warped extra dimension
• Exclusive semileptonic decays of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in supersymmetric theories
• Minimal Lepton Flavor Violation Implications of the $b\to s$ Anomalies
• $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories
• Exclusive Semileptonic Rare Decays $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in a SUSY SO(10) GUT
• Rare semileptonic $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ decays in RS${}_c$ model
• Lepton polarization asymmetries for FCNC decays of the ${\Lambda }_b$ baryon
• Analysis of the semileptonic ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ transition in topcolor-assisted technicolor (TC2) model
• K and B meson mixing in warped extra dimensions with custodial protection
• Rare baryonic decays ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in the TTM model
• K and B Physics in the Custodially Protected Randall-Sundrum Model
• Status after the first LHC run: Looking for new directions in the physics landscape
• Study of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and ${\Lambda }_b\to pl\bar{\nu }$ decays in the Bethe-Salpeter equation approach

Cited by in corpus (4)

• ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the aligned two-Higgs-doublet model
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the ${\text{RS}}_c$ model
• Analysis of Angular Observables of ${\Lambda }_b\to \Lambda (\to p\pi ){\mu }^{+}{\mu }^{-}$ Decay in Standard and $Z^{\prime }$ Models