Non-universal Gaugino mass models under the lamppost of muon (g-2)

TL;DR

This paper investigates non-universal gaugino mass models within supergravity frameworks to explain the muon (g-2) anomaly, analyzing their correlations with other parameters and assessing their viability against collider and astrophysical constraints.

Contribution

It introduces a model-independent analysis of gaugino mass correlations and explores a new mixing parameter in linear combinations of contributions, constraining models to explain muon (g-2) within current limits.

Findings

Existing models cannot fully explain muon (g-2) at 1-2 sigma.

Recent LHC limits strongly constrain parameter space.

A new mixing parameter helps identify promising models.

Abstract

In unified $\mathcal{N}=1$ supergravity scenario the gaugino masses can be non-universal. The patterns of these non-universalities are dictated by the vacuum expectation values of non-singlet chiral super-fields in visible sector. Here, we have analysed the model independent correlations among the gaugino masses with an aim to explain the $[1\div 3]\sigma$ excess of muon (g-2) ($\Delta a_\mu$). We have also encapsulated the interconnections among other low and high scale parameters, compatible with the collider constraints, Higgs mass, relic density and flavour data. We have noted that the existing non-universal models are not capable enough to explain $\Delta a_\mu$ at $[1\div 2]\sigma$ level. In the process, we have also shown the impact of recent limits from the searches for disappearing track and long lived charged particles at the LHC. These are the most stringent limits so far ruling out a large parameter space allowed by other constraints. We have also performed model guided analysis where gaugino masses are linear combination of contributions coming from singlet and non-singlet chiral super-fields. Here, a new mixing parameter has been introduced. Following the earlier methodology, we have been able to constrain this mixing parameter and pin down the promising models on this notion.