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Power-Law Running of the Higgs Mass

Kang-Sin Choi

Abstract

The renormalized scalar mass squared is a function of the external momentum $q^2$ and power-runs as $q^2$: it is O$(M_{GUT}^2)$ at $M_{GUT}^2$ and O$(m_W^2)$ at $m_W^2$.

Power-Law Running of the Higgs Mass

Abstract

The renormalized scalar mass squared is a function of the external momentum and power-runs as : it is O at and O at .
Paper Structure (6 sections, 12 equations, 1 figure)

This paper contains 6 sections, 12 equations, 1 figure.

Table of Contents

  1. The mass function
  2. Power-law running of the scalar
  3. Constraint on GUT
  4. Explaining the electroweak scale
  5. From naturalness to flavor
  6. Explicit one-loop formulas

Figures (1)

  • Figure 1: The SM boundary condition $r = m^2(M_{\text{GUT}}^2)/M_{\text{GUT}}^2$ vs. the pole mass $m_h$. The range $r \approx 0.57$--$0.89$ maps onto $m_h = 50$--$2000$ GeV. The point corresponds to the observed value. Cusps at $m_h = 2m_W$, $2m_Z$, and $2m_t$ are physical threshold effects.