Reconciling collider signals, dark matter, and the muon anomalous magnetic moment in the supersymmetric U(1)R × U(1)B−L model

We study the low-scale predictions of the supersymmetric model extended by U(1)R × U(1)B−L symmetry, obtained by breaking SO(10) symmetry at GUT scale via a left-right supersymmetric model. Two new singlet Higgs fields χRχ¯R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \left({\upchi}_R,{\overline{\upchi}}_R\right) $$\end{document} are responsible for the U(1)R × U(1)B−L symmetry breaking to the standard model gauge group. We explore the phenomenology of this model by assuming universal and non-universal boundary conditions at the GUT scale and their effects in obtaining consistency among low-energy observables, dark matter experiments, muon magnetic moment measurements, and Z′ phenomenology. We examine different scenarios with both the lightest neutralino and sneutrino mass eigenstates as dark matter candidates. We explore the collider signals of various scenarios by including relevant benchmarks and exploring their significance versus standard model background. To complement our analysis, we perform recasting of several LHC analyses to verify the credibility of the benchmarks. We find that relaxing the universality conditions at MGUT can significantly improve the agreement of the model against the experimental bounds. While the muon anomalous magnetic moment is found to be the most challenging observable to fit within the model, we identify, allowing for non-universality at the GUT scale, points in the parameter space consistent within 2σ from the average measured value.