Universal Landau Pole

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.

10 pages, 3 figure. Minor changes. Final version to appear on Physical Review Letters

References in corpus (2)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC

Cited by in corpus (8)

• Grand Symmetry, Spectral Action, and the Higgs mass
• High energy bosons do not propagate
• Clifford Structures in Noncommutative Geometry and the Extended Scalar Sector
• Landau poles in condensed matter systems
• Noncommutative geometry, Grand Symmetry and twisted spectral triple
• Spectral Action and Gravitational effects at the Planck scale
• Universal Landau Pole and Physics below the 100 TeV Scale
• A Realization of Effective SUSY with Strong Unification