# Influence of the $Z-Z'$ mixing on the $Z'$ production cross section in the model-independent approach

## TL;DR

This paper introduces a new module for the Sherpa Monte-Carlo generator to study how the $Z-Z'$ mixing angle affects the $Z'$ production cross section in a model-independent framework, emphasizing the importance of including the mixing angle.

## Contribution

A novel Sherpa module for simulating $Z'$ processes that incorporates the $Z-Z'$ mixing angle effects in a model-independent, renormalizable approach.

## Key findings

- The $Z-Z'$ mixing angle significantly influences the $Z'$ production cross section.
- Neglecting the mixing angle can lead to inaccuracies in $Z'$ production predictions.
- The module enables detailed studies of $Z'$ phenomenology within the specified mass range.

## Abstract

The new module SMZp is developed for the Monte-Carlo generator Sherpa that extends simulations of the Standard model (SM) processes with the Abelian $Z'$ boson in the model-independent approach. The special derived earlier relations between the $Z'$ couplings to the SM fields proper to the renormalizable theories are taken into account. Using this module, dependence of the $Z'$ production cross section on the $Z-Z'$ mixing angle $\theta_0$ in the Drell-Yan process is investigated within the range of 1 TeV $\leq m_{Z'} \leq$ 5 TeV. It is shown that if it is essential to keep the $Z'$ theory renormalizable, $\theta_0$ cannot be neglected as it is often done, even if it is small.

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Source: https://tomesphere.com/paper/1803.07508