Light-cone Sum Rule Analysis of Semileptonic Decays ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }$

Abstract

In this work, we analyze the semileptonic decay processes of ${\Lambda }_b\to {\Lambda }_c$ in the light-cone sum rule approach. In order to calculate the form factors of the ${\Lambda }_b$ baryon transition matrix element, we use the light-cone distribution amplitudes of ${\Lambda }_b$ obtained from the QCD sum rule in the heavy quark effective field theory framework. With the calculation of the six form factors of the ${\Lambda }_b\to {\Lambda }_c$ transition matrix element, the differential decay widths of ${\Lambda }_b^0\to {\Lambda }_c^{+}{\ell }^{-}{\overline{\nu }}_{\ell }(\ell =e,\mu ,\tau )$ and their absolute branching fractions are obtained. Additionally, the ratio of $R({\Lambda }_c^{+})\equiv \mathcal{B}r({\Lambda }_b^0\to {\Lambda }_c^{+}{\tau }^{-}{\overline{\nu }}_{\tau })/\mathcal{B}r({\Lambda }_b^0\to {\Lambda }_c^{+}{\mu }^{-}{\overline{\nu }}_{\mu })$ is also obtained in this work. Our results are in accord with the newest experimental result and other theoretical calculations and predictions.

arXiv comment15 pages, 2 figures, 6 tables

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• 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
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• Form factors of ${\Lambda }_b^0\to {\Lambda }_c(2595{)}^{+}$ within light-cone QCD sum rules
• Semileptonic decay of double strangeness heavy flavor baryons