Vacuum stability of thermal inflation baryogenesis

Abstract

Thermal inflation gives fruitful explanation to physics. It not only solves the cosmological moduli problem, but also gives baryogenesis through Affleck-Dine leptogenesis. However, deeper vacuum than electroweak symmetry breaking vacuum necessarily existis due to its baryogenesis condition, $m_L^2 + m_{H_u}^2 < 0$. If the tunneling to deeper vacuum happens during the age of the universe, current observable universe could not exist. We discuss the existence of deeper vacuum and calculate the tunneling time with complex program named Vevacious. We constrained cMSSM points near the region where electroweak symmetry breaking is not correct due to tachyonic slepton field.