Non-universal SUSY models, , and dark matter

John Ellis; Keith A. Olive; Vassilis C. Spanos

doi:10.1140/epjc/s10052-024-13499-7

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1121
https://doi.org/10.1140/epjc/s10052-024-13499-7

Regular Article - Theoretical Physics

Non-universal SUSY models, $g_{μ} - 2$ $g_\mu -2$ , $m_{H}$ and dark matter

John Ellis¹^,2, Keith A. Olive³ and Vassilis C. Spanos³^,4^a

¹ Theoretical Particle Physics and Cosmology Group, Department of Physics, King’s College London, WC2R 2LS, London, UK
² Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
³ William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, 55455, Minneapolis, MN, USA
⁴ Section of Nuclear and Particle Physics, Department of Physics, National and Kapodistrian University of Athens, 157 84, Athens, Greece

^a vspanos@phys.uoa.gr

Received: 22 July 2024
Accepted: 12 October 2024
Published online: 28 October 2024

Abstract

We study the anomalous magnetic moment of the muon, $g_{μ} - 2 \equiv 2 a_{μ}$ $g_\mu - 2 \equiv 2 a_\mu$ , in the context of supersymmetric models beyond the CMSSM, where the unification of either the gaugino masses $M_{1, 2, 3}$ $M_{1,2,3}$ or sfermion and Higgs masses is relaxed, taking into account the measured mass of the Higgs boson, $m_{H}$ $$m_H$$ , the cosmological dark matter density and the direct detection rate. We find that the model with non-unified gaugino masses can make a contribution $Δ a_{μ} \sim 20 \times 10^{- 10}$ $\Delta a_\mu \sim 20 \times 10^{-10}$ to the anomalous magnetic moment of the muon, for example if $M_{1, 2} \sim 600 GeV$ $M_{1,2} \sim 600\; \textrm{GeV}$ and $M_{3} \sim 8 TeV$ $M_3\sim 8 \; \textrm{TeV}$ . The model with non-universal sfermion and Higgs masses can provide even larger $Δ a_{μ} \sim 24 \times 10^{- 10}$ $\Delta a_\mu \sim 24 \times 10^{-10}$ if the sfermion masses for the first and the second generations are $\sim 400 GeV$ $\sim 400 \; \textrm{GeV}$ and that of the third is $\sim 8 TeV$ $\sim 8 \; \textrm{TeV}$ . We discuss the prospects for collider searches for supersymmetric particles in specific benchmark scenarios illustrating these possibilities, focusing in particular on the prospects for detecting the lighter smuon and the lightest neutralino.

© The Author(s) 2024

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