Scale-genesis by Dark Matter and Its Gravitational Wave Signal

Abstract

Classical scale invariance (CSI) may shed light on the weak scale origin, but the realistic CSI extension to the standard model requires a bosonic trigger. We propose a scalar Dark Matter(DM) field X as the trigger, establishing a strong connection between the successful radiative breaking of CSI and DM phenomenologies. The latter forces the breaking scale to ∼ O(TeV). It brightens the test prospect of this scenario via gravitational wave, a sharp prediction of CSI phase transition (CSIPT), which is first order and has strong supercooling. Moreover, we carefully deal with some techniques which are commonly used to analyze CSIPT but maybe missed. In particular, we clarify the imprecision of Witten's formula used in the single field case to calculate the bubble nucleation rate and stress that the essence of Witten's approximation is the validity of high temperature expansion.

Cross-sections for tt¯H production with the top quark MS‾ mass

“…This is an explicit realization of the generic scenario of [2,4] in which the DM is responsible for dynamical symmetry breaking in the vicinity of the multi-phase critical point. The same model was previously investigated with the usual Gildener-Weinberg approach in [5][6][7]. 1 We go beyond this approximation and show that around the multiphase critical point new effects occur.…”

“…Since the parameter λ S only determines the self-interactions of DM, we are effectively left with three free parameters, which we can trade for the dilaton mass m s , the DM mass m s and ln R. When ln R is large and negative, it describes a constant value of λ H S that neglects its RG running, see Eq. (7).…”