5-meson decay is a good place to test precisely the Standard Model of particle physics, as well as to search for New Physics beyond the Standard Model. The measured branching ratios of Bâ†'ZD(*) Ï„v by BaBar, Belle and LHCb experiments deviate from the theoretical predictions within the Standard Model, indicating possible New Physics effects in these processes. In order to further test various New Physics explanations, in this thesis we shall study the inclusive semileptonic Bâ†'Xc lv decays. To be specific, we investigate the inclusive processes Bâ†'Xclv using the Heavy Quark Effective Theory, construct the most general effective Hamiltonian that contributes to the quark-level bâ†'clv transition, and calculate their effects on the decay width of bâ†'clv. In combination with the future precision measurements of Bâ†'Xclv by Belle-â…¡, our results could be used to further test the various New Physics models proposed to explain the observed R(D) and R(D*) anomalies. |