LAUSR

Inspired by the recent hints of lepton flavor universality violation in \(b\rightarrow s\ell \ell \) and \(b\rightarrow c\ell \nu \) transitions, we study lepton flavor violating exclusive \(\Lambda _b\rightarrow \Lambda \ell _1^+\ell _2^-\) (\(\ell _1\ne \ell _2\)) decay, which is forbidden in the Standard Model. Starting from a general effective Hamiltonian for a \(b\rightarrow s\ell _1^+\ell _2^-\) transition that includes vector and axial-vector operators, and scalar and pseudo-scalar operators, we derive a two-fold decay distribution of \(\Lambda _b\rightarrow \Lambda \ell _1^+\ell _2^-\). The distribution helps us to construct the differential branching ratio and the lepton-side forward–backward asymmetry, which are studied in a vector leptoquark model. The parameter space of the vector leptoquark model is constrained by low energy observables.