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Supersymmetry, Part I (Theory)

Ben Allanach, Howard E. Haber

TL;DR

This theory-focused review surveys the MSSM as the minimal weak-scale supersymmetric extension of the Standard Model, detailing its field content, parameter structure, and the radiative corrections that elevate the Higgs mass to the observed value $m_h\simeq 125$ GeV. It systematically analyzes SUSY-breaking mediation mechanisms (gravity-, gauge-, and anomaly-mediated), gaugino mass relations, and constrained/phenomenological frameworks (CMSSM, pMSSM, GMSB, AMSB), as well as the role of the NMSSM in addressing the $\mu$-problem and alignment of Higgs couplings. The review also covers indirect constraints from precision observables and SMEFT mappings, discusses naturalness and the little hierarchy problem in light of LHC results, and surveys key extensions beyond MSSM, including the SUSY seesaw, R-parity violation, and Dirac gauginos. Together these sections map the theory landscape that links high-scale SUSY-breaking dynamics to weak-scale phenomenology and experimental prospects for future discovery. $m_h$ and Higgs coupling measurements, along with collider and flavor constraints, remain central to narrowing viable regions of SUSY parameter space and guiding model-building directions for the next generation of experiments.

Abstract

This is a review of the theoretical aspects of the supersymmetric extension of the Standard Model of particle physics, extracted from Chapter 87 of the 2025 update of the Review of Particle Physics, which appears in S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024) and 2025 update. The companion review, co-authored by M. D'Onofrio and F. Moortgat, "Supersymmetry, Part II (Experiment)," can be found in Chapter 88 of the Review of Particle Physics (2025 update, op. cit.).

Supersymmetry, Part I (Theory)

TL;DR

This theory-focused review surveys the MSSM as the minimal weak-scale supersymmetric extension of the Standard Model, detailing its field content, parameter structure, and the radiative corrections that elevate the Higgs mass to the observed value GeV. It systematically analyzes SUSY-breaking mediation mechanisms (gravity-, gauge-, and anomaly-mediated), gaugino mass relations, and constrained/phenomenological frameworks (CMSSM, pMSSM, GMSB, AMSB), as well as the role of the NMSSM in addressing the -problem and alignment of Higgs couplings. The review also covers indirect constraints from precision observables and SMEFT mappings, discusses naturalness and the little hierarchy problem in light of LHC results, and surveys key extensions beyond MSSM, including the SUSY seesaw, R-parity violation, and Dirac gauginos. Together these sections map the theory landscape that links high-scale SUSY-breaking dynamics to weak-scale phenomenology and experimental prospects for future discovery. and Higgs coupling measurements, along with collider and flavor constraints, remain central to narrowing viable regions of SUSY parameter space and guiding model-building directions for the next generation of experiments.

Abstract

This is a review of the theoretical aspects of the supersymmetric extension of the Standard Model of particle physics, extracted from Chapter 87 of the 2025 update of the Review of Particle Physics, which appears in S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024) and 2025 update. The companion review, co-authored by M. D'Onofrio and F. Moortgat, "Supersymmetry, Part II (Experiment)," can be found in Chapter 88 of the Review of Particle Physics (2025 update, op. cit.).
Paper Structure (35 sections, 40 equations, 1 figure, 1 table)

This paper contains 35 sections, 40 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Structure of the MSSM
  3. R-parity and the lightest supersymmetric particle
  4. The goldstino and gravitino
  5. Hidden sectors and the structure of SUSY breaking
  6. SUSY and extra dimensions
  7. Split-SUSY
  8. Parameters of the MSSM
  9. The SUSY-conserving parameters
  10. The SUSY-breaking parameters
  11. MSSM-124
  12. The supersymmetric-particle spectrum
  13. The charginos and neutralinos
  14. The squarks and sleptons
  15. The supersymmetric Higgs sector
  16. ...and 20 more sections

Figures (1)

  • Figure 1: The radiatively-corrected value of the MSSM Higgs mass, $m_h$, as a function of a common SUSY mass parameter $M_S$ and the stop mixing parameter $X_t$ (normalized to $M_S$), for $\tan\beta=20$. The value of the observed Higgs mass currently measured by the ATLAS and CMS collaborations ATLAS:2024fkg*CMS:2024eka at the LHC is also shown. This figure has been adapted from Ref. Slavich:2020zjv.