Semileptonic decays of ${\Lambda }_b$ baryons in the relativistic quark model

Abstract

Semileptonic ${\Lambda }_b$ decays are investigated in the framework of the relativistic quark model based on the quasipotential approach and the quark-diquark picture of baryons. The decay form factors are expressed through the overlap integrals of the initial and final baryon wave functions. All calculations are done without employing nonrelativistic and heavy quark expansions. The momentum transfer dependence of the decay form factors is explicitly determined in the whole accessible kinematical range without any extrapolations or model assumptions. Both the heavy-to-heavy ${\Lambda }_b\to {\Lambda }_c\ell {\nu }_{\ell }$ and heavy-to-light ${\Lambda }_b\to p\ell {\nu }_{\ell }$ decay branching fractions are calculated. The results agree within error bars with the experimental value of the branching fraction of the ${\Lambda }_b\to {\Lambda }_c^{+}{l}^{-}{\bar{\nu }}_l$ decay. From the recent LHCb data on the ratio of the branching fractions of the heavy-to-light and heavy-to-heavy semileptonic ${\Lambda }_b$ decays the ratio of the Cabbibo-Kobayashi-Maskawa matrix elements $|V_{ub}|/|V_{cb}|$ is obtained. It is consistent with the corresponding ratio determined from the inclusive $B$ meson decays.

23 pages, 8 figures, references added, published version

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• Revisiting semileptonic decays of ${\Lambda }_{b(c)}$ supported by baryon spectroscopy
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Amplitude analysis of the ${\Lambda }_c^{+}\to p{K}^{-}{\pi }^{+}$ decay and ${\Lambda }_c^{+}$ baryon polarization measurement in semileptonic beauty hadron decays
• Semileptonic and leptonic $B$ decays, circa 2016
• ${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules
• Form Factor Counting and HQET Matching for New Physics in ${\Lambda }_b\to {\Lambda }_c^{\ast }l\nu$
• Light-cone Sum Rule Analysis of Semileptonic Decays ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }$
• Rare ${\Lambda }_b\to n{l}^{+}{l}^{-}$ decays in the relativistic quark-diquark picture
• ${\Lambda }_b\to p,N^{\ast }(1535)$ Form Factors from QCD Light-Cone Sum Rules
• Semileptonic Transition of ${\Lambda }_b$ Baryon
• Heavy baryon wave functions, Bakamjian-Thomas approach to form factors, and observables in ${\Lambda }_b\to {\Lambda }_c\left({\frac{1}{2}}^{\pm }\right)\ell \overline{\nu }$ transitions
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• Investigating the transition form factors of ${\Lambda }_b\to {\Lambda }_c(2625)$ and ${\Xi }_b\to {\Xi }_c(2815)$ and the corresponding weak decays with support from baryon spectroscopy
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• Semileptonic baryon decays ${\Xi }_b\to {\Xi }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ in perturbative QCD
• Analysis of the semileptonic decays ${\Lambda }_b\to {\Lambda }_{c}l{\bar{\nu }}_l$ and ${\Xi }_b\to {\Xi }_{c}l{\bar{\nu }}_l$ in QCD sum rules
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• Probing the R-parity violating supersymmetric effects in $B_c\to J/\psi {\ell }^{-}{\bar{\nu }}_{\ell },{\eta }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ and ${\Lambda }_b\to {\Lambda }_c{\ell }^{-}{\bar{\nu }}_{\ell }$ decays
• Electromagnetic and weak decay of singly Heavy Baryons (Qqq)
• Addressing the $R_{\tau /\mu ,e}\left(D^{(\ast )}\right)$ puzzle through New Physics four-fermion operators and their impact on ${\Lambda }_b\to {\Lambda }_c\tau {\bar{\nu }}_{\tau }$ decay
• ${\Lambda }_c\to \Lambda$ Form Factors in Lattice QCD
• Baryons and baryoniums in the perspective of QCD sum rules
• Semileptonic decay and form factors of ${\Omega }_b^{-}\to {\Omega }_c^{0}e\overline{{\nu }_e}$
• The Angular Observables of ${\Lambda }_b\to {\Lambda }_c(\to {\Lambda }^0{\pi }^{+}){\tau }^{-}(\to {\pi }^{-}{\nu }_{\tau }){\bar{\nu }}_{\tau }$ within the Paradigm of FCCC Anomalies
• Semileptonic decay form factors of ${\Xi }_b^0\to {\Xi }_c^{+}\ell {\bar{\nu }}_{\ell }$ in HQET