Scalar boson stars: (thermo)dynamics and gravitational equilibria

TL;DR

This paper investigates the thermodynamics, stability, and gravitational equilibrium of scalar boson stars, focusing on their dark matter properties and interactions with the Higgs field under extreme conditions.

Contribution

It introduces an analytic scalar 'tower' approximation to study scale invariance and explores dark matter production and decay within scalar boson stars.

Findings

Scalar boson stars exhibit stable configurations under certain conditions.

The scalar 'tower' approximation preserves scale invariance analytically.

Dark matter production and decay mechanisms are characterized.

Abstract

We analyse the (thermo)dynamics of the scalar degrees of freedom in the scalar boson stars through the dark matter density under extreme conditions. The boson stars are studied in terms of a dark scalar sector in such a way this sector couples to the standard model Higgs boson doublet plus gravity.The stability of the BS is investigated at the level of the interaction between the scalars with the scale invariance breaking triggered by the electroweak symmetry breaking plus gravity. Analytic methods have been applied to an effective version of the theory, the scalar "tower" approximation, which should preserve an exact scale invariance. The production of the scalar dark matter and its decay have been discussed.