Simple Cosmological Solution to the Higgs Instability Problem in the Chaotic Inflation and Formation of Primordial Black Holes

摘要

We revisit the compatibility between the chaotic inflation, which provides anatural solution to the initial condition problem, and the metastableelectroweak vacuum, which is suggested by the results of LHC and the currentmass measurements of top quark and Higgs boson. It is known that the chaoticinflation poses a threat to the stability of the electroweak vacuum because iteasily generates large Higgs fluctuations during inflation or preheating andtriggers the catastrophic vacuum decay. In this paper, we propose a simplecosmological solution in which the vacuum is stabilized during chaoticinflation, preheating and after that. This simple solution naturally predictsthe formation of primordial black holes. We find interesting parameter regionswhere the present dark matter density is provided by them. Also, the thermalleptogenesis can be accommodated in our scenario.