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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• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of 2018
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• The semi-leptonic and non-leptonic weak decays of ${\Lambda }_b^0$
• Semileptonic ${\Lambda }_b\to {\Lambda }_c\ell {\bar{\nu }}_{\ell }$ Transition in Full QCD
• The semi-leptonic form factors of ${\Lambda }_b\to {\Lambda }_c$ and ${\Xi }_b\to {\Xi }_c$ in QCD sum rules
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• Relativistic description of the ${\Xi }_b$ baryon semileptonic decays
• Semileptonic ${\Xi }_c$ baryon decays in the relativistic quark model
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• Semileptonic and leptonic $B$ decays, circa 2016
• ${\Lambda }_b\to {\Lambda }_c$ Form Factors from QCD Light-Cone Sum Rules
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• Form Factor Counting and HQET Matching for New Physics in ${\Lambda }_b\to {\Lambda }_c^{\ast }l\nu$
• Semileptonic Transition of ${\Lambda }_b$ Baryon
• 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
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• Detailed Study of the Decay Lambda_b --> Lambda_c tau {\bar ν}_τ
• 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
• $b\to c\tau \bar{\nu }$ decays in supersymmetry with $R$-parity violation
• Analyzing lepton flavor universality in the decays ${\Lambda }_b\to {\Lambda }_c^{(\ast )}({\frac{1}{2}}^{\pm },{\frac{3}{2}}^{-})+\ell {\bar{\nu }}_{\ell }$
• Heavy quark symmetry of ${\Lambda }_b^0$ decays in quark models
• The study of weak decays induced by ${\frac{1}{2}}^{+}\to {\frac{3}{2}}^{-}$ transition in light-cone sum rules
• 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
• Electromagnetic and weak decay of singly Heavy Baryons (Qqq)
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• Semileptonic decay and form factors of ${\Omega }_b^{-}\to {\Omega }_c^{0}e\overline{{\nu }_e}$
• Baryons and baryoniums in the perspective of QCD sum rules
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