The muon anomalous magnetic moment in the supersymmetric economical 3-3-1 model

TL;DR

This paper explores how supersymmetric particles in the economical 3-3-1 model affect the muon g-2 anomaly, identifying parameter regions where supersymmetric contributions align with experimental observations.

Contribution

It provides a detailed calculation of the supersymmetric contributions to muon g-2 in the economical 3-3-1 model, including analysis for different an \gamma values and corresponding superpartner mass ranges.

Findings

Significant superpartner loop contributions occur at large an \\gamma.

Favored parameter space includes slepton masses of a few hundred GeV for small \\gamma.

Predicted superpartner masses are within LHC reach for certain parameter regions.

Abstract

We investigate the muon anomalous magnetic moment in the context of the supersymmetric version of the economical 3-3-1 model. We compute the 1-loop contribution of super-partner particles. We show that contribution of superparticle loop becomes significant when \tan \gamma is large. We investigate for both small and large values of $\tan \gamma$. We find the region of the parameter space where the slepton masses are of a few hundreds GeV is favour by the muon g-2 for small \tan \gamma (\tan \gamma \sim 5 ). Numerical estimation gives the mass of supersymmetric particle, the mass of gauginos m_G \sim 700 GeV and light slepton mass m_{\tilde{L}} is of order O (100) GeV. When \tan{\gamma} is large (\tan{\gamma} \sim 60), the mass of charged slepton m_{\tilde{L}} and the mass of gauginos m_G\sim O(1) TeV while the mass of sneutrino \sim 450 GeV is in the reach of LHC.