Abstract
Heavy quark decays provide a very advantageous investigation to test the Standard Model (SM). Recently, promising experiments with \textit{b} quark, as well as the analysis of the huge data sets produced at the B factories, have led to an increasing study and sensitive measurements of relative \textit{b} quark decays. In this thesis, I calculate various observables in the semi-leptonic decay process both in the SM and in the presence of New Physics (NP) operators with different Lorentz structures. The results are relevant for the coming measurement of this semi-leptonic decay at LHC \textit{b} experiment in CERN, and also provide theoretical predictions to refine the physics beyond the SM.
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