Analysis of the $Λ_{b}\rar Λ\ell^+\ell^- $ decay in QCD

Abstract

Taking into account the $\Lambda$ baryon distribution amplitudes and the most general form of the interpolating current of the ${\Lambda }_b$, the semileptonic $Λ_{b}\rar Λ\ell^+\ell^- $ transition is investigated in the framework of the light cone QCD sum rules. Sum rules for all twelve form factors responsible for the $Λ_{b}\rar Λ\ell^+\ell^- $ decay are constructed. The obtained results for the form factors are used to compute the branching fraction. A comparison of the obtained results with the existing predictions of the heavy quark effective theory is presented. The results of the branching ratio shows the detectability of this channel at the LHCb in the near future is quite high.

18 Pages, 2 Figures and 9 Tables

References in corpus (7)

• Nucleon Form Factors in QCD
• Direct observation of the strange b baryon Xi_b^{-}
• Observation of the doubly strange b baryon Omega_b-
• ${\Lambda }_b\to p,\Lambda$ transition form factors from QCD light-cone sum rules
• Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors
• Tree Level Semileptonic ${\Sigma }_b$ to Nucleon Decay in Light Cone QCD Sum Rules
• Flavor Changing Neutral Currents Transition of the ${\Sigma }_Q$ to Nucleon in Full QCD and Heavy Quark Effective Theory

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