Probing non-holomorphic MSSM via precision constraints, dark matter and LHC data

In this analysis we explore the phenomenological constraints of models with non-holomorphic soft SUSY breaking terms in a beyond the MSSM scenario having identical particle content. The model referred as NHSSM shows various promising features like the possibility of a strong reduction in electroweak fine-tuning even for a scenario of a heavy higgsino type of LSP, a fact that is unavailable in pMSSM models. The other important aspect is satisfying the muon g − 2 data even for a small tan β via a small value of coupling Aμ′ associated with the tri-linear non-holomorphic soft term. Thus, a large SUSY contribution to muon g − 2 is possible even for a significantly large smuon mass mμ˜1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {m_{\tilde{\mu}}}_1 $$\end{document}. The Higgs mass radiative corrections are contributed by both the holomorphic and non-holomorphic trilinear soft parameters At and At′, thus diluting the requirement to have a larger At to satisfy the Higgs mass data. The model also provides with valid parameter space satisfying the constraint of Br(B → Xs + γ) for large values of tan β, a scenario unfavourable in pMSSM.