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There is no 690 GeV resonance

James M. Cline

TL;DR

This note scrutinizes claims that the Higgs field hosts a heavy resonance at $M_H=690$ GeV, arguing that the proposed two-pole propagator implies a ghost and rests on an ill-defined $A(p^2)$ function. By examining the explicit form $A(p^2)$ and its dependence on a finite cutoff $\Lambda$, the author shows that achieving the observed Higgs mass with a heavy partner necessitates a large $\Lambda$ that undermines the two-pole picture, effectively yielding a single propagating degree of freedom. The critique also highlights the lack of robust experimental support for such a resonance, despite numerous self-cited papers, and points to deeper theoretical issues in the underlying nonperturbative framework, including Goldstone’s theorem and radiative symmetry breaking. Overall, the work argues that the sequence of claims for a $690$ GeV Higgs resonance is not substantiated by consistent theory or data, underscoring the importance of careful pole-structure and renormalization analysis in scalar field theories.

Abstract

In a series of $\sim 30$ papers starting in 1991, it has been claimed that the Higgs field should be heavier than its now-measured value. To reconcile this idea with reality, it was modified to the assertion that the Higgs field describes two physical degrees of freedom, one of which corresponds to a second Higgs particle with mass 690 GeV. Here I summarize the lack of theoretical and experimental evidence for these claims.

There is no 690 GeV resonance

TL;DR

This note scrutinizes claims that the Higgs field hosts a heavy resonance at GeV, arguing that the proposed two-pole propagator implies a ghost and rests on an ill-defined function. By examining the explicit form and its dependence on a finite cutoff , the author shows that achieving the observed Higgs mass with a heavy partner necessitates a large that undermines the two-pole picture, effectively yielding a single propagating degree of freedom. The critique also highlights the lack of robust experimental support for such a resonance, despite numerous self-cited papers, and points to deeper theoretical issues in the underlying nonperturbative framework, including Goldstone’s theorem and radiative symmetry breaking. Overall, the work argues that the sequence of claims for a GeV Higgs resonance is not substantiated by consistent theory or data, underscoring the importance of careful pole-structure and renormalization analysis in scalar field theories.

Abstract

In a series of papers starting in 1991, it has been claimed that the Higgs field should be heavier than its now-measured value. To reconcile this idea with reality, it was modified to the assertion that the Higgs field describes two physical degrees of freedom, one of which corresponds to a second Higgs particle with mass 690 GeV. Here I summarize the lack of theoretical and experimental evidence for these claims.

Paper Structure

This paper contains 2 sections, 6 equations, 1 figure.

Table of Contents

  1. Original comment
  2. Response to authors' reply

Figures (1)

  • Figure 1: Left: evidence for excess in $H\to ZZ\to 4\ell$ claimed by Ref. Consoli:2020kip. The red curve is their model prediction, points are derived from ATLAS results. Right: ATLAS results for the same process ATLAS:2020tlo, assuming ggF fusion.