Gauge coupling unification without leptoquarks

Abstract

We propose an interpretation of the gauge coupling unification scale which is not related to any new particle threshold. We revisit Grand Unified Theories and show that it is possible to completely eliminate the scalar as well as vector leptoquarks from the particle physics spectrum. As a consequence, in our approach the gauge hierarchy problem is put on different grounds, and the proton may be absolutely stable. In order to achieve that, we employ a number of nonlinear gauge-invariant constraints which only affect the superheavy degrees of freedom. We illustrate our considerations in a model based on the SU(5) group, with the generalization to other groups being straightforward. We discuss how scale or conformal invariance may be added to our proposal.

Journal version---discussion extended, typos corrected, references added

References in corpus (10)

• Cosmology and the Fate of Dilatation Symmetry
• Conformal Symmetry and the Standard Model
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• On the geometrical interpretation of scale-invariant models of inflation
• (Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects
• Is there a new physics between electroweak and Planck scales?
• Higgs-Dilaton cosmology: Universality vs. criticality
• Spontaneously Broken Gauge Theories and the Coset Construction

Cited by in corpus (19)

• Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models
• Inflation in a scale invariant universe
• Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance
• Gravity and Unification: A review
• $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\left(\times U(1{)}_X\right)$ as a symmetry of division algebraic ladder operators
• Gravity, Scale Invariance and the Hierarchy Problem
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Conformal symmetry: towards the link between the Fermi and the Planck scales
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• One residue to rule them all: Electroweak symmetry breaking, inflation and field-space geometry
• Asymptotic Scale Invariance and its Consequences
• SU(5) Unification without Proton Decay
• CFT data and spontaneously broken conformal invariance
• Exact quantum conformal symmetry, its spontaneous breakdown, and gravitational Weyl anomaly
• Scale Invariant Gravity and Black Hole Ringdown
• QFT without infinities and hierarchy problem
• Superselection of the weak hypercharge and the algebra of the Standard Model
• Grand Unified Theory with a Stable Proton
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications