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Low Energy Precision Test of Supersymmetry

M. J. Ramsey-Musolf, S. Su

TL;DR

This work evaluates how low-energy precision measurements can illuminate supersymmetry beyond direct collider searches. It articulates a cohesive MSSM framework, detailing loop-level SUSY contributions to charged- and neutral-current observables, and surveys how renormalization, hadronic uncertainties, and model choices shape the SUSY signals. The review highlights specific observables—muon decay, beta decays, pion/kaon decays, parity-violating electron scattering, atomic parity violation, and neutrino DIS—where SUSY effects can appear at the 10^{-3} to 10^{-2} level, and connects these to CKM unitarity, EDMs, LFV, and CP-violation constraints. It emphasizes that, despite challenges, precision low-energy physics provides competitive and complementary probes of SUSY parameter space, Higgs sectors, and baryogenesis/dark matter scenarios, with significant experimental and theoretical advances foreseen. The findings underscore the importance of combining low-energy precision tests with high-energy collider data to comprehensively explore supersymmetry and its cosmological implications.

Abstract

Supersymmetry (SUSY) remains one of the leading candidates for physics beyond the Standard Model, and the search for SUSY will be a central focus of future collider experiments. Complementary information on the viability and character of SUSY can be obtained via the analysis of precision electroweak measurements. In this review, we discuss the prospective implications for SUSY of present and future precision studies at low energy.

Low Energy Precision Test of Supersymmetry

TL;DR

This work evaluates how low-energy precision measurements can illuminate supersymmetry beyond direct collider searches. It articulates a cohesive MSSM framework, detailing loop-level SUSY contributions to charged- and neutral-current observables, and surveys how renormalization, hadronic uncertainties, and model choices shape the SUSY signals. The review highlights specific observables—muon decay, beta decays, pion/kaon decays, parity-violating electron scattering, atomic parity violation, and neutrino DIS—where SUSY effects can appear at the 10^{-3} to 10^{-2} level, and connects these to CKM unitarity, EDMs, LFV, and CP-violation constraints. It emphasizes that, despite challenges, precision low-energy physics provides competitive and complementary probes of SUSY parameter space, Higgs sectors, and baryogenesis/dark matter scenarios, with significant experimental and theoretical advances foreseen. The findings underscore the importance of combining low-energy precision tests with high-energy collider data to comprehensively explore supersymmetry and its cosmological implications.

Abstract

Supersymmetry (SUSY) remains one of the leading candidates for physics beyond the Standard Model, and the search for SUSY will be a central focus of future collider experiments. Complementary information on the viability and character of SUSY can be obtained via the analysis of precision electroweak measurements. In this review, we discuss the prospective implications for SUSY of present and future precision studies at low energy.

Paper Structure

This paper contains 40 sections, 232 equations, 20 figures, 7 tables.

Table of Contents

  1. Introduction
  2. Minimal Supersymmetric Extension of Standard Model
  3. Introduction
  4. The Minimal Supersymmetric Extension of Standard Model
  5. Soft SUSY Breaking
  6. Superparticle Spectrum
  7. SUSY Interactions
  8. $R$-parity Violating Interactions
  9. SUSY Searches
  10. Renormalization
  11. Charged Current Processes
  12. Neutral Current Processes
  13. Theoretical Uncertainties in Electroweak Radiative Corrections
  14. Charged Current Processes
  15. Muon Decay
  16. ...and 25 more sections

Figures (20)

  • Figure 1: Feynman diagrams for supersymmetric (a) gauge-quark-quark, (b) gauge-squark-squark and (c) gaugino-quark-squark vertices.
  • Figure 2: Feynman diagrams for supersymmetric (a) tri-gauge boson coupling, (b) gauge boson-gaugino-gaugino coupling.
  • Figure 3: Tree-level $P_R$-violating contributions to muon decay.
  • Figure 4: Representative supersymmetric corrections to charged current observables: (a) $W$-boson propagator corrections; (b) vertex corrections; (c) external leg corrections; and (d) box graph contributions.
  • Figure 5: Representative supersymmetric corrections to neutral current observables: (a) $Z$-boson propagator and $Z$-$\gamma$ mixing conributions; (b) vertex corrections; (c) external leg corrections; and (d) box graph contributions
  • ...and 15 more figures