Quark and Lepton Masses, Baryon Asymmetry, and Neutrino Mass from a Supersymmetric Preon Model

TL;DR

This paper presents a supersymmetric preon model that addresses the flavor problem, baryon asymmetry, and neutrino masses, reproducing observed mass ratios and explaining the stability of the lightest superpartner.

Contribution

It introduces a novel supersymmetric preon framework that simultaneously explains fermion mass ratios, neutrino masses, and baryon asymmetry with consistent numerical and topological mechanisms.

Findings

Reproduces the observed electron to up quark mass ratio of 0.22.

Predicts a down to up quark mass ratio of approximately 2.3.

Generates the baryon asymmetry consistent with observed eta ~ 8.7x10^{-10}.

Abstract

The flavor problem and the baryon asymmetry of the universe (BAU) are addressed simultaneously within a supersymmetric preon model. Standard Model fermions are three-body composites of preons confined at Lambda_cr ~ 10^14 GeV by a Maxwell-Chern-Simons interaction and a metacolor gauge symmetry SU(3)_mc. Gauge anomaly cancellation requires one spectator field chi and no other new fermions. Using four systematic numerical methods validated against the hydrogen atom, we reproduce the observed ratio m_e/m_u = 0.22 at metacolor string tension sigma*_mc/theta^2 = 2.11, and predict m_d > m_u with m_d/m_u ~ 2.3 (observed value of 2.0) from the Pauli principle applied to the psi_0^2 spin-color wavefunction. The neutrino is naturally massless at tree level by the same Pauli-principle argument; the spectator chi provides a Type I seesaw giving m_nu ~ Lambda_EW^2/Lambda_cr ~ 0.1 eV. The BAU is generated at Lambda_cr via the Callan-Harvey anomaly inflow mechanism: integrating out the massive charged preons induces a topological Chern-Simons term whose coefficient is fixed by the fermion/boson condensation asymmetry epsilon from intrinsic SUSY breaking. Matching the observed eta ~ 8.7x10^{-10} gives epsilon ~ 0.022, consistent with a one-loop origin. R-parity is derived dynamically from the composite structure, making the lightest superpartner absolutely stable.