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$\Lambda_b \rightarrow \Lambda_c^{\ast}$ at $1\,/\,m_c^2$ heavy quark order
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abstract
We systematically compute the $\Lambda_b(p, s_b) \to \Lambda_c(2595)^+$ and $\Lambda_b(p, s_b) \to \Lambda_c(2625)^+$ form factors within the Heavy Quark Effective Theory (HQET) framework including $\mathcal{O}(1/m_c^2)$. Besides taking into account the Standard Model-like vector and axial contributions, we further determine tensor and pseudo-tensor form factors. Our work constitutes a step forward with respect to previous analyses allowing for a comprehensive study of the matrix element parametrisation stemming from the HQET formalism. Finally, we demonstrate that the resulting form factors agree well with lattice Quantum Chromodynamics (LQCD) determinations stressing the need and relevance of the newly derived $1/m_c^2$ corrections.
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Probing the $\Lambda_{b}\to \Lambda_{c}^{*}\tau \bar{\nu}_{\tau}$ decays with leptoquarks
In the U1 and S1 leptoquark models, the ratio R_Λ_c* for Λ_b -> Λ_c*(2595,2625) τ ν̄_τ decays deviates from the Standard Model prediction, making it a promising probe of new physics.
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