Angular distribution of the rare decay $\Lambda_b \to \Lambda(\to N \pi) \ell^+\ell^-$

baryons and massive leptons, in the operator basis approach which includes the scalar, pseudo-scalar, vector, axial-vector and tensor operators. Especially, the contributions of tensor operators have been calculated for the first time in this work. Since the lepton mass is retained in our calculations, the lepton flavour universality and the decay mode

\Lambda_b \to \Lambda(\to N \pi) \tau^+\tau^-

can be investigated in detail. For comparison with the experiment, we study the numerical results of observables within the Standard Model and the

S_1+S_3

Leptoquark model. Significant deviation can be found between experiment data and the Standard Model predictions. The

S_1+S_3

Leptoquark model can be further explored with the experimental progresses. In addition, we demonstrate the sensitivity of various angular observables to tensor operators contributions firstly, and find out that the potential New Physics effects of tensor operators can not be ignored in

b\to s\ell^+\ell^-

transitions.

Note:

32 pages, 3 figures

New Physics
Baryon decay
Leptoquark
Lambda/b0: semileptonic decay
lepton: flavor: universality
lepton: universality: violation
leptoquark: scalar
effective Hamiltonian
operator: higher-dimensional
operator: Wilson

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Angular distribution of the rare decay Λb→Λ(→Nπ)ℓ+ℓ−\Lambda_b \to \Lambda(\to N \pi) \ell^+\ell^-Λb​→Λ(→Nπ)ℓ+ℓ−

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Angular distribution of the rare decay $\Lambda_b \to \Lambda(\to N \pi) \ell^+\ell^-$