# Higgs boson mass corrections in the $\mu\nu$SSM with effective potential methods

## TL;DR

This paper analyzes how mixing in the $mbda
u$SSM affects the Higgs boson mass, providing analytical diagonalization and radiative correction calculations using effective potential methods.

## Contribution

It offers an analytical diagonalization of the CP-even neutral scalar mass matrix and incorporates radiative corrections with effective potential methods in the $mbda
u$SSM.

## Key findings

- Mixing significantly impacts the lightest Higgs boson mass.
- Derived an approximate expression for the Higgs mass.
- Quantified radiative corrections using effective potential methods.

## Abstract

To solve the $\mu$ problem of the MSSM, the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM) introduces three singlet right-handed neutrino superfields $\hat{\nu}_i^c$, which lead to the mixing of the neutral components of the Higgs doublets with the sneutrinos, producing a relatively large CP-even neutral scalar mass matrix. In this work, we analytically diagonalize the CP-even neutral scalar mass matrix and analyze in detail how the mixing impacts the lightest Higgs boson mass. We also give an approximate expression for the lightest Higgs boson mass. Simultaneously, we consider the radiative corrections to the Higgs boson masses with effective potential methods.