Excitations of the Higgs boson

TL;DR

This paper derives a complex mass equation for the Higgs boson within a simplified standard model, revealing possible excited states with higher masses and decay widths consistent with experimental constraints.

Contribution

It introduces a transcendental equation for the Higgs mass that predicts additional excitations beyond the observed 125 GeV Higgs.

Findings

Derived a complex mass equation for the Higgs boson.

Predicted higher-mass excitations at 186 and 219 GeV.

Found excitations are wider but consistent with decay channels.

Abstract

In a simplified version of the standard model with a single quark doublet, I derive a transcendental equation for the complex Higgs boson mass. The equation involves a divergent integral which is regularized and renormalized conventionally. Setting the Higgs mass to its observed value, the decay width is narrow and within experimental limits. The mass equation has additional roots on other sheets in the complex energy plane. The first two are at 186 and 219 GeV. The lightest excitations are well defined though wider than the 125 GeV Higgs because decays to $W^{+}W^{-}$ and $ZZ$ are allowed.