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

Abstract

We calculate the weak transition form factors of the ${\Lambda }_b\to \Lambda (1520)$ transition, and further calculate the angular distributions of the rare decays ${\Lambda }_b\to \Lambda (1520)(\to N\bar{K}){\ell }^{+}{\ell }^{-}$ ($N\bar{K}=\{p{K}^{-},n{\bar{K}}^0\}$) with unpolarized ${\Lambda }_b$ and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of ${\Lambda }_b$ and $\Lambda (1520)$ from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the ${\Lambda }_b\to \Lambda (1520){\ell }^{+}{\ell }^{-}$ decay and deepen our understanding on the $b\to s{\ell }^{+}{\ell }^{-}$ processes.

21 pages, 9 figures. Accepted by Phys. Rev. D

References in corpus (20)

• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ 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
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Lambda_b -> Lambda l+ l- form factors and differential branching fraction from lattice QCD
• Exclusive semileptonic decays of ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in supersymmetric theories
• Color-allowed Bottom Baryon to Charmed Baryon non-leptonic Decays
• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• Angular distribution of polarised ${\Lambda }_b$ baryons decaying to $\Lambda {\ell }^{+}{\ell }^{-}$
• ${\Lambda }_c\to {\Lambda }^{\ast }(1520)$ 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
• 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
• Observation of two new excited ${\Xi }_b^0$ states decaying to ${\Lambda }_b^0{K}^{-}{\pi }^{+}$
• ${\Lambda }_b\to {\Lambda }^{\ast }(1520){\ell }^{+}{\ell }^{-}$ form factors from lattice QCD
• Endpoint Relations for Baryons
• Semileptonic weak decays of anti-triplet charmed baryons in the light-front formalism
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• Weak decays of triply heavy baryons in light front approach
• Weak Radiative Decays of Anti-triplet Bottomed Baryons in Light-Front Quark Model
• The weak decays of ${\Xi }_c^{{(}^{\prime })}\to \Xi$ in the light-front quark model
• Restudy of the color-allowed two-body nonleptonic decay of bottom baryons ${\Xi }_b$ and ${\Omega }_b$ supported by hadron spectroscopy
• Bottomed baryon decays with invisible Majorana fermions

Cited by in corpus (2)

• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Measurement of the ${\Lambda }_b^0\to \Lambda (1520){\mu }^{+}{\mu }^{-}$ differential branching fraction