Connecting LHC Signals with Deep Physics at the TeV Scale and Baryogenesis

The origin of baryon asymmetry of the Universe (BAU) remains an important, unsolved problem for particle physics and cosmology, and is one of the motivations to search for possible new physics beyond SM. In the second part of this dissertation, we attempt to account for the baryon number generation in our universe through some novel mechanisms. We first systematically investigate models of baryogenesis from spontaneously Lorentz violating background (SLVB). We find that the sphaleron transitions will generate a nonzero B+L asymmetry in the presence of SLVB and we identify two scenarios of interest. We then consider the possibilities to generate a baryon asymmetry through an earlier time phase transition and address the question whether or not we can still test the baryogenesis mechanism at LHC/ILC if the electroweak phase transition is not strongly first order. We find a general framework and realize this idea in the top flavor model. We show that the realistic baryon density can be achieved in the natural parameter space of topflavor model.