GUT-constrained supersymmetry and dark matter in light of the new $(g-2)_\mu$ determination

TL;DR

This paper explores how GUT-constrained supersymmetric models can accommodate the muon g-2 anomaly and dark matter properties, revealing viable parameter spaces with specific detection challenges.

Contribution

It demonstrates that GUT-inspired SUSY models can reconcile the muon g-2 anomaly with dark matter constraints, expanding beyond simpler models like CMSSM.

Findings

Dark matter is mostly light and bino-dominated or subdominant higgsino/wino.

Unified models can reproduce the general dark matter patterns compatible with muon g-2.

Compressed spectra pose challenges for LHC detection.

Abstract

The recent confirmation by the Fermilab-based Muon g-2 experiment of the $(g-2)_\mu$ anomaly has important implications for allowed particle spectra in softly broken supersymmetry (SUSY) models with neutralino dark matter (DM). Generally, the DM has to be quite light, with the mass up to a few hundred GeV, and bino-dominated if it is to provide most of DM in the Universe. Otherwise, a higgsino or wino dominated DM is also allowed but only as a strongly subdominant component of at most a few percent of the total density. These general patterns can easily be found in the phenomenological models of SUSY but in GUT-constrained scenarios this proves much more challenging. In this paper we revisit the issue in the framework of some unified SUSY models with different GUT boundary conditions on the soft masses. We study the so-called non-universal gaugino model (NUGM) in which the mass of the gluino is disunified from those of the bino and the wino and an SO(10) and an SU(5) GUT-inspired models as examples. We find that in these unified frameworks the above two general patterns of DM can also be found, and thus the muon anomaly can also be accommodated, unlike in the simplest frameworks of the CMSSM or the NUHM. We show the resulting values of direct detection cross-section for points that do and do not satisfy the muon anomaly. On the other hand, it will be challenging to access those solutions at the LHC because the resulting spectra are generally very compressed.