Inclusive semileptonic $\Lambda_b$ decays in the Standard Model and beyond

Inclusive semileptonic decays of beauty baryons are studied using the heavy quark expansion to ${\cal O}(1/m_b^3)$, at leading order in $\alpha_s$. The case of a polarized decaying baryon is examined, with reference to $\Lambda_b$. An extension of the Standard Model effective Hamiltonian inducing $b \to U \ell {\bar \nu}_ \ell$ transitions ($U=u,\,c$ and $\ell=e,\,\mu,\,\tau$) is considered, which comprises new vector, scalar, pseudoscalar and tensor operators. The effects of the new operators in several observables are described.