Interplay between $M_W$, $\Omega_{\rm CDM} h^2$, and $(g-2)_{\mu}$ in Flavor Symmetry-Based Supersymmetric Models

TL;DR

This paper explores how a flavor symmetry in the MSSM reduces free parameters and examines the complex relationships between the W boson mass, dark matter relic density, and muon g-2 anomaly, identifying narrow viable parameter regions.

Contribution

It introduces a flavor symmetry-based MSSM (sMSSM) with only seven parameters, providing a theoretically motivated reduction of free parameters and analyzing their impact on key phenomenological observables.

Findings

Correlations among model parameters affecting $M_W$, $ ext{Ω}_{ m CDM} h^2$, and $(g-2)_{ m μ}$.

The $(g-2)_{ m μ}$ anomaly and dark matter bounds can be simultaneously addressed.

Viable solutions exist only in a narrow parameter space.

Abstract

We study the phenomenological implications of the minimal supersymmetric standard model (MSSM) augmented by a non-abelian flavor symmetry labeled as sMSSM. Incorporating this flavor symmetry allows for a significant reduction in the original plethora of free parameters present in the MSSM, ultimately reducing them down to just seven in sMSSM. This reduction of free parameters is not achieved through ad hoc assumptions like in the constrained MSSM (CMSSM); rather, it is grounded in theoretical considerations. Our work focuses on exploring the interplay between the $W$ boson mass ($M_W$) predictions, the cold dark matter (CDM) relic abundance ($\Omega_{\rm CDM} h^2$), and the $(g-2)_{\mu}$ anomaly. We identified correlations among the theoretical parameters arising from this interplay, which can be complemented by experimental constraints such as the Higgs boson mass, B-physics observables, and charge and color breaking minima. Additionally, our investigations show that the $(g-2)_{\mu}$ discrepancy and the Planck bounds on $\Omega_{\rm CDM} h^2$ can be addressed within the sMSSM, but only in a very narrow region of the parameter space.