Investigating the near-criticality of the Higgs boson
Dario Buttazzo, Giuseppe Degrassi, Pier Paolo Giardino, Gian F., Giudice, Filippo Sala, Alberto Salvio, Alessandro Strumia
TL;DR
This paper analyzes the Standard Model parameters with high precision to explore the near-criticality of the Higgs boson, revealing that the observed Higgs mass is close to the stability boundary of the electroweak vacuum.
Contribution
It provides a detailed high-order calculation of SM parameters and maps the phase diagram, offering new insights into the near-criticality of the Higgs mass.
Findings
Higgs mass is near the vacuum metastability boundary
Measured parameters correspond to extremal values in the phase diagram
Theoretical interpretations suggest a special status of the Higgs near-criticality
Abstract
We extract from data the parameters of the Higgs potential, the top Yukawa coupling and the electroweak gauge couplings with full 2-loop NNLO precision, and we extrapolate the SM parameters up to large energies with full 3-loop NNLO RGE precision. Then we study the phase diagram of the Standard Model in terms of high-energy parameters, finding that the measured Higgs mass roughly corresponds to the minimum values of the Higgs quartic and top Yukawa and the maximum value of the gauge couplings allowed by vacuum metastability. We discuss various theoretical interpretations of the near-criticality of the Higgs mass.
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