Abstract
The cosmological relaxation mechanism proposed in [1] allows for a dynamically generated large separation between the weak scale and a theory cutoff, using a sharp change of theory behaviour upon crossing the limit between unbroken and broken symmetry phases. In this note we present a variation of this scenario, in which stabilization of the electroweak scale in the right place is ensured by the $Z_2$ symmetry exchanging the Standard Model (SM) with its mirror copy. We sketch the possible ways to produce viable thermal evolution of the Universe and discuss experimental accessibility of the new physics effects. We show that in this scenario the mirror SM can either have sizeable couplings with the ordinary one, or, conversely, can interact with it with a negligible strength. The overall cutoff allowed by such a construction can reach $10^9$ GeV.
Highlights
JHEP01(2016)063 where Λ is some characteristic mass scale of the physics which generates the barriers and f is a relaxion scale
In this note we present a variation of this scenario, in which stabilization of the electroweak scale in the right place is ensured by the Z2 symmetry exchanging the Standard Model (SM) with its mirror copy
Not all the terms listed in (1.3) are necessarily always generated, e.g. the terms linear in h require additional EW symmetry breaking (EWSB) sources to participate in the formation of the barriers
Summary
In the first approximation our model is described by two non-interacting analogues of the Standard Model, called in the following SM1 and SM2. The√minima with both VEV’s being non-zero can appear only starting from the point p = 1/ 2, when the amplitude reaches its absolute maximum This implies that the condition V = 0, allowing the φ field to stop the scanning, will typically be satisfied for the first time in the region with only one non-zero VEV. One can for instance consider a possibility that both Higgses couple to one of the inflation sector fields in a Z2- symmetric way, such that the evolution of the inflation sector, happening after the relaxion has settled in its minimum, can induce additional shifts to the Higgs mass squared parameters and make both negative. One can estimate the minimal size of λ12 from the quantum corrections it gets, λ12 m4/f 4
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