# Implications of symmetries in the scalar sector

## TL;DR

This paper explores how symmetries in extended scalar sectors influence model constraints, CP properties, and scalar mass degeneracies, highlighting their importance in particle physics model building.

## Contribution

It analyzes the interplay between scalar potential symmetries, CP characteristics, and mass degeneracies, providing insights into their roles in extended scalar models.

## Key findings

- Symmetries can naturally satisfy experimental constraints.
- Symmetries reduce free parameters in scalar models.
- Interplay affects CP properties and mass degeneracies.

## Abstract

Symmetries play a very important r\^ole in Particle Physics. In extended scalar sectors, the existence of symmetries may permit the models to comply with the experimental constraints in a natural way, and at the same time reduce the number of free parameters. There is a strong interplay among internal symmetries of the scalar potential, its CP properties and mass degeneracies of the physical scalars. Some of these aspects were discussed in this talk.