Theoretical predictions of a new scalar boson near 0.5 TeV

TL;DR

This paper predicts a new scalar boson near 0.5 TeV using multiple theoretical models, suggesting it could explain the LHC's 650 GeV resonance and address vacuum energy divergence in BSM physics.

Contribution

It demonstrates consistent predictions of a 0.5 TeV scalar boson across holographic, phenomenological, and spectral sum rule approaches, linking it to vacuum energy cancellation and LHC observations.

Findings

Consistent prediction of a 0.5 TeV scalar boson across different models.

The 650 GeV resonance at LHC may be due to the $h h'$ threshold.

The $h'$ boson could cancel quadratic vacuum energy divergences.

Abstract

In one of our recent papers, a second Higgs-like boson $h'$ with the mass near 0.5~TeV was predicted from a dual holographic model (borrowed from the AdS/QCD approach) for a hypothetical strongly-coupled BSM sector. In the present work, we reproduce this prediction within the framework of more traditional phenomenological approaches to effective description of a strongly-coupled field theory -- the Nambu--Jona-Lasinio model and spectral sum rules. A good quantitative agreement between these three drastically different methods is obtained. Interestingly, the existence of the $h'$ with the predicted mass turns out to be a minimal possibility to cancel the quadratic divergence in the vacuum energy density. We argue also that the dominant channel for the production of $h'$ should be $h\rightarrow h'h$, where $h$ is the standard Higgs boson. Hence, the $H(650)$ resonance observed recently at the LHC can be naturally interpreted as an enhancement due to the $hh'$-threshold. Within the considered scenario, the $h$ and $h'$ bosons in a conjectured BSM theory play the role of the $\pi$ and $\sigma$ mesons in low-energy descriptions of QCD. Our result can be understood as a quantitative consequence of universality of strong coupling regime in both theories, i.e., the prediction represents a BSM analogue of the numerical QCD relation $m_\sigma\simeq 4m_\pi$. We argue that the obtained result is a model-independent consequence of the assumed universality.