- The paper examines the impact of the measured Higgs boson mass on High-Scale and Split Supersymmetry frameworks.
- It employs detailed two-loop renormalization group equations and one-loop threshold corrections to refine Higgs mass predictions by a few GeV.
- Results indicate that a Higgs mass below 127 GeV can imply an upper SUSY breaking scale near 10^8 GeV, while theoretical uncertainties remain.
Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements
In the paper "Probing High-Scale and Split Supersymmetry with Higgs Mass Measurements," authored by Gian F. Giudice and Alessandro Strumia, the research focuses on evaluating the implications of the Higgs boson mass for theories of supersymmetry (SUSY), particularly High-Scale and Split Supersymmetry. This investigation utilizes next-to-leading order corrections, including detailed calculations of two-loop renormalization group equations (RGEs) and one-loop threshold effects, to predict Higgs masses in these supersymmetric frameworks.
Higgs Mass Predictions and Theoretical Uncertainties
The authors characteristically bridge several theoretical physics domains by exploiting the Higgs quartic coupling as a probe to assess the possible scales at which supersymmetry might manifest, if at all, below the Planck mass. Specifically, they aim to determine the range of Higgs masses that could be accommodated by these high-scale SUSY models. A refined analysis particularly extends to Split Supersymmetry, introducing comprehensive two-loop RGE calculations and elucidating the significance of one-loop threshold corrections, which together lower predicted Higgs masses by a few GeV.
For the Split Supersymmetry case, the complete set of RGEs for coupling constants has been recalibrated, acknowledging that the predominant two-loop corrections predominantly stem from the top Yukawa coupling, as opposed to earlier studies focusing more on the Higgs quartic coupling corrections.
Implications on Supersymmetry Breaking Scale
The analysis highlights how recent Higgs mass measurements, particularly those from LHC experiments, influence the prospective scale of supersymmetry breaking. Notably, the authors postulate that should the Higgs mass be found below 127 GeV, Split Supersymmetry would imply an upper bound on the SUSY breaking scale of approximately 108 GeV. However, due to theoretical uncertainties and the diffusion of supersymmetric thresholds that depend on unmeasured parameters, current data do not decisively constrain High-Scale Supersymmetry analogously.
Impact and Theoretical Considerations
This refined Higgs mass prediction framework sheds light on fundamental theoretical constructs, such as the necessity and rationale of supersymmetry in resolving discrepancies in the Standard Model and its extensions. The obtained theoretical bounds not only influence the strategic directions for future experimental searches but also underscore remaining uncertainties chiefly due to SM parameter errors, enriching our comprehension of fine-tuning issues within particle physics.
Further implications arise from potential extended E_6 models or the presence of additional singlet superfields at high scales, where significant Higgs coupling deviations could occur. In essence, the analysis prompts ongoing exploration and reconsideration of supersymmetric paradigms, potentially realigning conceptual priorities in the pursuit of connecting GUT-scale theories with observable lower-energy phenomena.
Conclusion
Analyzing Higgs mass measurements enhances our understanding of the postulated forms of supersymmetry and constrains the landscape of viable high-scale SUSY models. The work demonstrates a profound ability to use subtle theoretical calculations to provide empirical constraints on the supersymmetry discourse, leveraging experimental data, and thorough theoretical modeling to progressively refine the quest for new physics beyond the familiar terrain of the Standard Model.