Forward-backward asymmetries in ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in Bethe-Salpeter equation approach

Abstract

Using the Bethe-Salpeter equation (BSE) we investigate the forward-backward asymmetries $(A_{FB})$ in ${\Lambda }_b\to \Lambda l^{+}{l}^{-}(l=e,\mu ,\tau )$ in the quark-diquark model. This approach provides precise form factors that are different from those of QCD sum rules. We calculate the rare decay form factors for ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and investigate the (integrated) forward-backward asymmetries in these decay channels. We find that the integrated $A_{FB}^l$, ${\bar{A}}_{FB}^l({\Lambda }_b\to \Lambda e^{+}{e}^{-})\simeq -0.1371$, ${\bar{A}}_{FB}^l({\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-})\simeq -0.1376$, ${\bar{A}}_{FB}^l({\Lambda }_b\to \Lambda {\tau }^{+}{\tau }^{-})\simeq -0.1053$, the hadron side asymmetries ${\bar{A}}_{FB}^h({\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-})\simeq -0.2315$, the lepton-hadron side asymmetries ${\bar{A}}_{FB}^{lh}({\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-})\simeq 0.0827$, the longitudinal polarization fractions ${\bar{F}}_L({\Lambda }_b\to \Lambda {\mu }^{+}{\mu }^{-})\simeq 0.5681$.

References in corpus (41)

• Nucleon Electromagnetic Form Factors
• 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
• Flavour Changing Neutral Current Decays of Heavy Baryons: The Case ${\Lambda }_b\to \Lambda \gamma$
• Baryonic Rare Decays of ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$
• 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
• Rare Decays of Λ_b->Λ+ γand Λ_b ->Λ+ l^{+} l^{-} in the Light-cone Sum Rules
• 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 ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• Heavy-to-light baryonic form factors at large recoil
• Long Distance Contributions to Penguin Processes $b\to s\gamma$ and $b\to d\gamma$
• Angular moments of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$ at low hadronic recoil
• Isgur-Wise Function for ${\Lambda }_b\to {\Lambda }_c$ in B-S Approach
• Rare dileptonic decays of Λ_b in a quark model
• Lepton Asymmetries in Heavy Baryon Decays of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• Uncertainties from Long Range Effects in $B \to K^* γ
• Measurement of the differential branching fraction of the decay ${\Lambda }_b^0\to \Lambda {\mu }^{+}{\mu }^{-}$
• Octet-Baryon Form Factors in the Diquark Model
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Exclusive (Lambda_b -> Lambda l^+ l^-) decay beyond standard model
• Rare ${\Lambda }_b\to \Lambda$ l${}^{+}$ l${}^{-}$ Decays with Polarized $\Lambda$
• $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ Decay in the Aligned Two-Higgs-Doublet Model
• Studying the scalar bound states of the $K\bar{K}$ system in the Bethe-Salpeter formalism
• Study of FCNC mediated Z boson effect in the semileptonic rare baryonic decays ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• First observation of the radiative decay ${\Lambda }_b^0\to \Lambda \gamma$
• Improved Measurement of the Form Factors in the Decay Lambda_c^+ --> Lambda e^+ nu_e
• Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ and ${\Lambda }_b\to \Lambda \gamma$ decays in the relativistic quark model
• Forward-backward asymmetries in (Lambda_b -> Lambda l^+ l^-) decay beyond the standard model
• $B\to K_0^{\ast }(1430)l^{+}{l}^{-}$ decays in supersymmetric theories
• Exclusive Semileptonic Rare Decays $B\to K^{(\ast )}{l}^{+}{l}^{-}$ in a SUSY SO(10) GUT
• Studying ${\mathcal{B}}_1({\frac{1}{2}}^{+})\to {\mathcal{B}}_2({\frac{1}{2}}^{+}){\ell }^{+}{\ell }^{-}$ Semi-leptonic Weak Baryon Decays with the SU(3) Flavor Symmetry
• Electromagnetic form factors of ${\Lambda }_b$ in the Bethe-Salpeter equation approach
• Lepton polarization asymmetries for FCNC decays of the ${\Lambda }_b$ baryon
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Calculation of 1/m^{2}_{b} corrections to <Λ_{b}(v,s)|\bar{b}γ^λγ_{5}b|Λ_{b}(v,s)> for polarized Λ_{b} in the Bethe-Salpeter equation approach
• Comparative analysis of the semileptonic ${\Lambda }_b\to \Lambda {\ell }^{+}{\ell }^{-}$ transition in SM and different SUSY scenarios using form factors from full QCD
• Heavy to light baryon transition form factors
• FCNC transitions of ${\Lambda }_b$ to neutron in Bethe-Salpeter equation approach
• The ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decay in the aligned two-Higgs-doublet model
• Rare ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ decay in the Bethe-Salpeter equation approach

Cited by in corpus (1)

• Baryons and baryoniums in the perspective of QCD sum rules