# One loop correction to $Z\rightarrow \nu\nu$ in the Minimal R-symmetric Supersymmetric Standard Model

## TL;DR

This paper calculates the one-loop correction to the Z boson decay into neutrinos within the Minimal R-symmetric Supersymmetric Standard Model, showing compatibility with experimental data and exploring effects of neutrino mass orderings and model parameters.

## Contribution

It provides a detailed analysis of Z to neutrino decay corrections in MRSSM, including effects of neutrino mass ordering and parameter dependencies, which was not previously studied in detail.

## Key findings

- Branching ratio compatible with experimental data at 2σ
- Inverse neutrino mass ordering prediction exceeds SM at 1σ
- Prediction increases with tanβ and decreases with slepton mass

## Abstract

We analyze the one loop correction to $Z\rightarrow \nu\nu$ decay in framework of Minimal R-symmetric Supersymmetric Standard Model(MRSSM) in detail with normal and inverse neutrino mass orderings, as a function of $\tan\beta$, Dirac mass parameters $M_D^W$ and $\mu_u(\mu_d)$, slepton mass $m_l$ that parameterize the mass matrices. The numerical results indicate that the branching ratio for $Z\rightarrow \nu\nu$ decay is compatible with the experimental measurement and the SM expectation at $2\sigma$ level. For inverse neutrino mass ordering, the prediction exceeds the SM expectation at $1\sigma$ level. The prediction on $Br(Z\rightarrow \nu\nu)$ increases proportionally to $\tan\beta$ and inversely proportionally to $m_l$. For normal neutrino mass ordering, the peak value of the prediction on $Br(Z\rightarrow \nu\nu)$ exceeds the SM expectation at $1\sigma$ level.