Higgsonium in singlet extension of Standard Model

TL;DR

This paper predicts the formation of a Higgsonium bound state in a Standard Model extension with an additional scalar singlet, using a novel Minkowski space solution of the Bethe-Salpeter equation.

Contribution

It introduces a new method for solving the Bethe-Salpeter equation directly in Minkowski space for scalar bound states in extended Standard Model scenarios.

Findings

Higgsonium bound states can naturally form in the extended model.

The proposed method effectively computes bound state properties.

Results show significant mixing effects in the scalar eigenstates.

Abstract

A possible formation of bound state is predicted in the Standard Model extension with with additional scalar singlet. A suitable method of solution of the Bethe-Salpeter equation for a Higgsonium bound state is proposed. With the help of an integral representation the results are directly obtained in Minkowski space. The appearance of Higgsonia is shown to be quite natural for considered extension of Standard model and the calculations are presented for the bound state composed from two scalars which result from the large mixture of electroweak doublet and singlet eigenstate.