Theory Status - Puzzles in B Meson Decays and LFU?

Currently B meson puzzles motivate many studies of New Physics due to the observed deviations from the Standard Model predictions. There are two B meson puzzles, R_{D^{(*)}} R D ( * ) and R_{K^{(*)}} R K ( * ) . The first one denotes the deviations in the decays driven by the charged current in the ratio of the decay widths for B \to D^{(*)} \tau \nu B → D ( * ) τ ν and B \to D^{(*)} \mu \nu B → D ( * ) μ ν , while the second one is related to the ratio of the decay widths for B \to K^{(*)} \mu^+ \mu^- B → K ( * ) μ + μ − and B \to K^{(*)} e^+ e^- B → K ( * ) e + e − transition. Also, the measured muon anomalous magnetic moment differs from the SM predictions. Usually, the effective Lagrangian approach containing New Physics effects is used to analyse R_{D^{(*)}} R D ( * ) and R_{K^{(*)}} R K ( * ) . Among many models of New Physics, various leptoquark models are suggested to resolve both B meson anomalies. If New Physics is confirmed in B decays a number of processes at low and high energies should confirm its presence.

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