Standard Model Vacuum Stability and some Implications for Higgs Inflation

Standard Model Vacuum Stability and some Implications for Higgs In ation The discovery of the Higgs particle has completed the SM. With the current measured Higgs and Top masses, the SM could survive up to the Planck scale. The SM cannot be a complete picture as some experimental and observational facts require the extension of the SM, however some of the extensions do not require the embedding of the SM into high energy scale, prompting the possibility that there is no new physics up to the Planck scale. We will tackle this issue and investigate the vacuum stability of the SM Higgs eld and its interplay with possible new physics, parametrized by higher dimensional operators. Also the role of the measurement of the top mass at hadron colliders in the context of vacuum stability is discussed. Detailed matching conditions for the RGE and the metastability issue will be given. Possible implications of the BICEP2 claim are given and the eect of running couplings for the Higgs in ation will be reexamined, which is crucial to determine whether the Higgs in ation is still a viable scenario