The Standard Model (SM) of particle physics has withstood thus far
every attempt by experimentalists to show that it does not describe
data. We discuss the SM in some detail, focusing on the mechanism
of fermion mixing, which represents one of its most intriguing
aspects. We discuss how this mechanism can be tested in b-quark
decays, and how b decays can be used to extract information on
physics beyond the SM. We review experimental techniques in b
physics, focusing on recent results and highlighting future
prospects. Particular attention is devoted to recent results from b
decays into a hadron, a lepton and an anti-lepton, that show
discrepancies with the SM predictions - the so-called B-physics
anomalies - whose statistical significance has been increasing
steadily. We discuss these experiments in a detailed manner, and
also provide theoretical interpretation of these results in terms
of physics beyond the SM.
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