Genesis of electroweak and dark matter scales from a bilinear scalar condensate

TL;DR

This paper proposes a mechanism where a scalar bilinear condensate in a scale-invariant hidden sector generates both the electroweak scale and dark matter, predicting a TeV-scale dark matter particle with near-current detection limits.

Contribution

It introduces a new model linking scalar bilinear condensation to electroweak symmetry breaking and dark matter, with detailed effective theory formulation and phenomenological predictions.

Findings

Dark matter mass around 1 TeV

Elastic cross section near LUX bounds

Scalar bilinear condensation explains electroweak scale

Abstract

The condensation of scalar bilinear in a classically scale invariant strongly interacting hidden sector is used to generate the electroweak scale, where the excitation of the condensate is identified as dark matter. We formulate an effective theory for the condensation of the scalar bilinear and find in the self-consistent mean field approximation that the dark matter mass is of $O(1)$ TeV with the spin-independent elastic cross section off the nucleon slightly below the LUX upper bound.