Dilaton in Two-Time Physics as trigger of electroweak phase transition and inflation

Abstract

Within the SP(2, R) symmetry, the Two-time model (2T model) has six dimension with two time dimensions. The model has a dilaton particle that makes the symmetry breaking differently from the Standard Model. By reducing the 2T metric to the Minkowski one (1T metric), we consider the electroweak phase transition picture in the 2T model with the dilaton as the trigger. Our analysis shows that Electro-weak Phase Transition (EWPT) is a first-order phase transition at the $200$ GeV scale, its strength is about $1 - 3.08$ and the mass of dilaton is in interval $[345, 625]$ GeV. Furthermore, the metric of 2T model can be reduced to the Randall-Sundrum model, so the dilaton acts as inflaton with the slow-roll approximation. Therefore the 2T-model indirectly suggests that extra-dimension can be also a source of EWPT and inflation. The EWPT problem can be used to determine scale parameters that refer to relationships between two metrics.Comment: 25 pages, 2 figure