Family gauge boson production at the LHC is investigated according to a $U(3)$ family gauge model with twisted family number assignment. In the model we study, a family gauge boson with the lowest mass, $A_1^{ 1}$, interacts only with the first gener
ation leptons and the third generation quarks. (The family numbers are assigned, for example, as $(e_1, e_2, e_3)= (e^-, mu^-, tau^-)$ and $(d_1, d_2, d_3)=(b, d, s) $[or $(d_1, d_2, d_3)=(b, s, d)$]). In the model, the family gauge coupling constant is fixed by relating to the electroweak gauge coupling constant. Thus measurements of production cross sections and branching ratios of $A_1^{ 1}$ clearly confirm or rule out the model. We calculate the cross sections of inclusive $A_1^{ 1}$ production and $b bar{b} , (t bar{t})$ associated $A_1^{ 1}$ production at $sqrt{s} = 14~text{TeV}$ and $100~text{TeV}$. With the dielectron production cross section, we discuss the determination of diagonalizing matrix of quark mass matrix, $U_{u}$ and $U_{d}$, respectively.
We consider the case that $mu$-$e$ conversion signal is discovered but other charged lepton flavor violating (cLFV) processes will never be found. In such a case, we need other approaches to confirm the $mu$-$e$ conversion and its underlying physics
without conventional cLFV searches. We study R-parity violating (RPV) SUSY models as a benchmark. We briefly review that our interesting case is realized in RPV SUSY models with reasonable settings according to current theoretical/experimental status. We focus on the exotic collider signatures at the LHC ($pp to mu^- e^+$ and $pp to jj$) as the other approaches. We show the correlations between the branching ratio of $mu$-$e$ conversion process and cross sections of these processes. It is first time that the correlations are graphically shown. We exhibit the RPV parameter dependence of the branching ratio and the cross sections, and discuss the feasibility to determine the parameters.
We consider the case that $mu$-$e$ conversion signal is discovered but other charged lepton flavor violating (cLFV) processes will never be found. In such a case, we need other approaches to confirm the $mu$-$e$ conversion and its underlying physics
without conventional cLFV searches. We study R-parity violating (RPV) SUSY models as a benchmark. We briefly review that our interesting case is realized in RPV SUSY models with reasonable settings according to current theoretical/experimental status. We focus on the exotic collider signatures at the LHC ($pp to mu^- e^+$ and $pp to jj$) as the other approaches. We show the correlations between the branching ratio of $mu$-$e$ conversion process and cross sections of these processes. It is first time that the correlations are graphically shown. We exhibit the RPV parameter dependence of the branching ratio and the cross sections, and discuss the feasibility to determine the parameters.
We apply the axion-photon conversion mechanism to the 130 GeV $gamma$-ray line observed by the Fermi satellite. Near the Galactic center, some astrophysical sources and/or particle dark matter can produce energetic axions (or axionlike particles), an
d the axions convert to $gamma$ rays in Galactic magnetic fields along their flight to the Earth. Since continuum $gamma$-ray and antiproton productions are sufficiently suppressed in axion production, the scenario fits the 130 GeV $gamma$-ray line without conflicting with cosmic ray measurements. We derive the axion production cross section and the decay rate of dark matter to fit the $gamma$-ray excess as functions of axion parameters. In the scenario, the $gamma$-ray spatial distributions depend on both the dark matter profile and the magnetic field configuration, which will be tested by future $gamma$-ray observations, e.g., H.E.S.S. II, CTA, and GAMMA-400. As an illustrative example, we study realistic supersymmetric axion models, and show the favored parameters that nicely fit the $gamma$-ray excess.
