B meson semi-leptonic rare decays are sensitive to new physics beyond standard model. We study the B − → π − µ + µ − process and investigate the Majorana neutrino contribution to its decay width. The constraints on the Majorana neutrino mass and mixing parameter are obtained from this decay channel with the latest LHCb data. Utilizing the best fit for the parameters, we study the lepton number violating decay B − → π + µ − µ − , and find its branching ratio is about 6.4 × 10 −10 , which is consistent with the LHCb data reported recently.

We study the Bc meson rare decay in order to search for the Majorana neutrino signal. It is found that the corresponding decay rate is sensitive to the Majorana neutrino mass and mixing angles. The signal of B ± c → l ± 1 l ± 2 M ∓ induced by the Majorana neutrino within the mass region mπ < mn < mB may be observed at LHCb.

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Using the general factorization approach, we present a detailed investigation for the branching ratios, CP asymmetries and longitudinal polarization fractions in all charmless hadronic B → V V decays (except for the pure annihilation processes) within the most general two-Higgsdoublet model with spontaneous CP violation. It is seen that such a new physics model only has very small contributions to the branching ratios and longitudinal polarization fractions. However, as the model has rich CP-violating sources, it can lead to significant effects on the CP asymmetries, especially on those of penguin-dominated decay modes, which provides good signals for probing new physics beyond the SM in the future B-physics experiments.

We investigate the possibility to discover the charged Higgs via pp → W ± H ∓ → l + ET + bbjj process at LHC, which suffers from large QCD backgrounds. We optimize the kinematic cuts to suppress the backgrounds, so that the reconstruction of the charged Higgs through hadronic decay is possible. The angular distribution of the b-jet from H ± decay is investigated as a way to identify the charged scalar from vector bosons.

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As a simple extension, a non-Abelian family gauge symmetry SO(3), as well as three family Majorana neutrinos, was introduced to explain the tri-bimaximal mixing matrix of neutrinos. We discuss the effect of the possible SO(3) family gauge interaction to the mass differences of K −K, B d −B d , Bs −Bs and D −D, and get the constrains to the new gauge bosons.

We present a study about the flavor changing coupling of the top quark with the Higgs boson through the channel pp → Ht / t ¯ with H → b b ¯ at LHC. The final states considered for the such process are l ± + E T + 3 b . We focus on the boosted region in the phase space of the Higgs boson. The backgrounds and events are simulated and analyzed. The sensitivities for the FCNH couplings are estimated. It is found that it is more sensitive for y tu than y tq at LHC. The upper limits of the FCNH couplings can be set at LHC with 3000 fb − 1 integrated luminosity as | y tu | 2 = 1.1 × 10 − 3 and | y tc | 2 = 7.2 × 10 − 3 at 95% C.L.