Scale-genesis By Dark Matter And Its Gravitational Wave Signal

Standard model TSM is a very successful theory and all particles which prodict by SM have been discovered successively.Especially,the critical particle in electroweak theory—Higgs Boson—have been found in 2012.However,finding all particles which predict by SM does not make SM a consistent theory.In fact,there are many questions left and need to be answered by new physics beyond Stand Model.Such as: How does the electroweak sacle originate and How does it radiative stabilize? What is dark matter? Why the visible world is constructed by matter and anti-matter is missing? and,Why do neutrinos have nonzero tiny masses? etc.In this paper,we will explore the internal relationship between the first and the second question.Our discussion is based on a theory framework: Classical Scale Invariace/CSI which is thought to protect a low-energy scale from huge quantum corrections.However,the realistic CSI extension to the standard model requires a heavy bosonic field,which triggers the Classicale Scale Invariance Radiative Symmetry Breaking/CSISB.So,we propose a scalar DM field (3 can trigger the CSISB,and establish a strong connection between the successful radiative breaking of CSI and DM phenomenologies.The latter forces the breaking scale to ? (Te V).It brightens the test prospect of this scenario via gravitational wave,a sharp prediction of CSI phase transition TCSIPT,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 effectiveness of high temperature expansion in low temperature area.