The Higgs mass derived from the U(3) Lie group

TL;DR

This paper derives the Higgs mass and related baryon properties from a Hamiltonian on the U(3) Lie group, connecting strong and electroweak scales, and predicts observable baryon states and parton distributions.

Contribution

It introduces a novel approach using a Hamiltonian on U(3) to derive Higgs mass, baryon spectra, and parton distributions from fundamental principles.

Findings

Higgs mass around 125 GeV consistent with experiment

Predicted baryon states and scattering signatures

Generated approximate parton distribution functions

Abstract

The Higgs mass value is derived from a Hamiltonian on the Lie group U(3) where we relate strong and electroweak energy scales. The baryon states of nucleon and delta resonances originate in specific Bloch wave degrees of freedom coupled to a Higgs mechanism which also gives rise to the usual gauge boson masses. The derived Higgs mass is around 125 GeV. From the same Hamiltonian we derive the relative neutron to proton mass ratio and the N and Delta mass spectra. All compare rather well with the experimental values. We predict scarce neutral flavor baryon singlets that should be visible in scattering cross sections for negative pions on protons, in photoproduction on neutrons, in neutron diffraction dissociation experiments and in invariant mass spectra of protons and negative pions in B-decays. The fundamental predictions are based on just one length scale and the fine structure constant. More particular predictions rely also on the weak mixing angle and the up-down quark flavor mixing matrix element. With differential forms on the measure-scaled wavefunction, we could generate approximate parton distribution functions for the u and d valence quarks of the proton that compare well with established experimental analysis.