GUT-constrained supersymmetry and dark matter in light of the new (g − 2)μ determination

The recent confirmation by the Fermilab-based Muon g-2 experiment of the (g − 2)μ 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.

Lepton flavor violations in SUSY models for muon g − 2 with right-handed neutrinos

We consider supersymmetric (SUSY) models for the muon g − 2 anomaly without flavor violating masses at the tree-level. The models can avoid LHC constraints and the vacuum stability constraint in the stau-Higgs potential. Although large flavor violating processes are not induced within the framework of minimal SUSY standard model, once we adopt a seesaw model, sizable lepton flavor violating (LFV) processes such as μ → eγ and μ → e conversion are induced. These LFV processes will be observed at future experiments such as MEG-II, COMET and Mu2e if right-handed neutrinos are heavier than 109 GeV motivated by the successful leptogenesis. This conclusion is somewhat model independent since Higgs doublets are required to have large soft SUSY breaking masses, leading to flavor violations in a slepton sector via neutrino Yukawa interactions.

Sparticle spectroscopy and dark matter in a U(1)B−L extension of MSSM

We consider a class of SUSY models in which the MSSM gauge group is supplemented with a gauged U(1)B−L symmetry and a global U(1)R symmetry. This extension introduces only electrically neutral states, and the new SUSY partners effectively double the number of states in the neutralino sector that now includes a blino (from B − L) and singlino from a gauge singlet superfield. If the DM density is saturated by a LSP neutralino, the model yields quite a rich phenomenology depending on the DM composition. The LSP relic density constraint provides a lower bound on the stop and gluino masses of about 3 TeV and 4 TeV respectively, which is testable in the near future collider experiments such as HL-LHC. The chargino mass lies between 0.24 TeV and about 2.0 TeV, which can be tested based on the allowed decay channels. We also find $$ {m}_{\tilde{\tau}1}\gtrsim $$ m τ ˜ 1 ≳ 500 GeV, and $$ {m}_{\tilde{e}},{m}_{\tilde{\mu}},{m}_{{\tilde{v}}^{S,P}}\gtrsim $$ m e ˜ , m μ ˜ , m v ˜ S , P ≳ 1 TeV. We identify chargino-neutralino coannihilation processes in the mass region 0.24 TeV $$ \lesssim {m}_{{\tilde{\upchi}}_1^0}\approx {m}_{{\tilde{\upchi}}_1^{\pm }}\lesssim $$ ≲ m χ ˜ 1 0 ≈ m χ ˜ 1 ± ≲ 1.5 TeV, and also coannihilation processes involving stau, selectron, smuon and sneutrinos for masses around 1 TeV. In addition, A2 resonance solutions are found around 1 TeV, and H2 and H3 resonance solutions are also shown around 0.5 TeV and 1 TeV . Some of the A2 resonance solutions with tan β ≳ 20 may be tested by the A/H → τ+τ− LHC searches.. While the relic density constraint excludes the bino-like DM, it is still possible to realize higgsino, singlino and blino-like DM for various mass scales. We show that all these solutions will be tested in future direct detection experiments such as LUX-Zeplin and Xenon-nT.

Interacting Fermions and Supersymmetric Models

Chapter 24 discusses interacting fermions and supersymmetry (SUSY) models. The chapter addresses the semi-classical formalism relative to a fermion field in a bosonic background. It covers topics that include bosonic and fermionic bound states (both Dirac and Majorana), symmetric wells, supersymmetric theory, general results in SUSY theories, integrable SUSY models, non-integrable multi-frequency super Sine–Gordon models, phase transition and meta-stable states. It also discusses the conditions under which the overall theory presents supersymmetry and the consequences thereof. It also covers how semi-classical formulae can help to identify the particle excitations and estimate one of their most important characteristics, i.e. their mass.

Investigating multiple solutions to boundary value problems in constrained minimal and non-minimal SUSY models

We investigate the physical origins of multiple solutions to boundary value problems in the fully constrained MSSM and NMSSM. We derive mathematical criteria that formulate circumstances under which multiple solutions can appear. Finally, we study the validity of the exclusion of the CMSSM in the presence of multiple solutions.

Cosmological Probes of Supersymmetric Field Theory Models at Superhigh Energy Scales

The lack of positive results in searches for supersymmetric (SUSY) particles at the Large Hadron Collider (LHC) and in direct searches for Weakly Interacting Massive Particles (WIMPs) in the underground experiments may hint to a super-high energy scale of SUSY phenomena beyond the reach of direct experimental probes. At such scales the supergravity models based on Starobinsky inflation can provide the mechanisms for both inflation and superheavy dark matter. However, it makes the indirect methods the only way of testing the SUSY models, so that cosmological probes acquire the special role in this context. Such probes can rely on the nontrivial effects of SUSY physics in the early Universe, which are all model-dependent and thus can provide discrimination of the models and their parameters. The nonstandard cosmological features like Primordial Black Holes (PBHs) or antimatter domains in a baryon-asymmetric universe are discussed as possible probes for high energy scale SUSY physics.