Could a Weak Coupling Massless SU(5) Theory Underly the Standard Model S-Matrix?

TL;DR

This paper proposes a novel massless SU(5) theory underlying the Standard Model, where bound states and anomaly dynamics replace the Higgs mechanism, potentially explaining neutrino masses, dark matter, and electroweak symmetry breaking.

Contribution

It introduces a unique massless SU(5) framework with anomaly-driven bound states that replicate Standard Model phenomena without a Higgs field.

Findings

Bound states form with dynamical masses via anomaly poles

SU(5) symmetry breaks to SU(3)×U(1) in the S-Matrix

Color sextet quarks could produce dark matter and be detected at LHC

Abstract

The unitary Critical Pomeron connects to a unique massless left-handed SU(5) theory that, remarkably, might provide an unconventional underlying unification for the Standard Model. Multi-regge theory suggests the existence of a {\it bound-state high-energy S-Matrix} that replicates Standard Model states and interactions via massless fermion anomaly dynamics. Configurations of anomalous wee gauge boson reggeons play a vacuum-like role. All particles, including neutrinos, are bound-states with dynamical masses (there is no Higgs field) that are formed (in part) by anomaly poles. The contributing zero-momentum chirality transitions break the SU(5) symmetry to vector SU(3)xU(1) in the S-Matrix. The high-energy interactions are vector reggeon exchanges accompanied by wee boson sums (odd-signature for the strong interaction and even-signature for the electroweak interaction) that strongly enhance couplings. The very small SU(5) coupling, ~ 1/120, should be reflected in small (Majorana) neutrino masses. A color sextet quark sector, still to be discovered, produces both Dark Matter and Electroweak Symmetry Breaking. Anomaly color factors imply this sector could be produced at the LHC with large cross-sections, and would be definitively identified in double pomeron processes.