Universal Landau Pole

TL;DR

This paper proposes a novel unification scenario at the Planck scale called the Universal Landau Pole, where all gauge couplings diverge, potentially replacing traditional grand unification theories and addressing vacuum stability.

Contribution

It introduces a unification model at the Planck scale featuring a universal Landau pole with specific particle content, diverging couplings, and implications for vacuum stability.

Findings

All gauge couplings diverge at the ULP.

The model prevents Higgs quartic from becoming negative.

Yukawa couplings vanish at the ULP.

Abstract

Our understanding of quantum gravity suggests that at the Planck scale the usual geometry loses its meaning. If so, the quest for grand unification in a large non-abelian group naturally endowed with the property of asymptotic freedom may also lose its motivation. Instead we propose an unification of all fundamental interactions at the Planck scale in the form of a Universal Landau Pole (ULP), at which all gauge couplings diverge. The Higgs quartic coupling also diverges while the Yukawa couplings vanish. The unification is achieved with the addition of fermions with vector gauge couplings coming in multiplets and with hypercharges identical to those of the the Standard Model. The presence of these particles also prevents the Higgs quartic coupling from becoming negative, thus avoiding the instability (or metastability) of the SM vacuum.