Surprising phenomenology in the non-Universal U(1) gauge extended $\mu\nu$SSM

TL;DR

This paper introduces a modified supersymmetric model with a non-Universal U(1) gauge symmetry that cancels anomalies without exotic matter, affecting dark matter interactions and collider constraints, and proposes new phenomenological implications.

Contribution

It presents a novel anomaly-free non-Universal U(1) extension of the $mbda$SSM that influences dark matter interactions and collider phenomenology without requiring exotic matter.

Findings

Anomaly cancellation without exotic matter restricts charge assignments.

The model allows for a light $Z'$ boson not excluded by LHC constraints.

Dark matter interactions can violate isospin, depending on Higgs charges.

Abstract

So far the most sophisticated experiments have shown no trace of new physics at the TeV scale. Consequently, new models with unexplored parameter regions are necessary to explain current results, re-examine the existing data, and propose new experiments. In this Letter, we present a modified version of the $\mu\nu$SSM supersymmetric model where a non-Universal extra U(1) gauge symmetry is added in order to restore an effective R-parity that ensures proton stability. We show that anomalies equations cancel without having to add \emph{any} exotic matter, restricting the charges of the fields under the extra symmetry to a discrete set of values. We find that it is the viability of the model through anomalies cancellation what defines the conditions in which fermions interact with dark matter candidates via the exchange of $Z'$ bosons. The strict condition of universality violation means that LHC constraints for a $Z'$ mass do not apply directly to our model, allowing for a yet undiscovered relatively light $Z$', as we discuss both in the phenomenological context and in its implications for possible flavour changing neutral currents. Moreover, we explore the possibility of isospin violating dark matter interactions; we observe that this interaction depends, surprisingly, on the Higgs charges under the new symmetry, both limiting the number of possible models and allowing to analyse indirect dark matter searches in the light of well defined, particular scenarios.