A Higgs mass at 125 GeV calculated from neutron to proton decay in a u(3) Lie group Hamiltonian framework

TL;DR

This paper presents a theoretical calculation of the Higgs boson mass at 125 GeV based on neutron to proton decay within a u(3) Lie group Hamiltonian framework, aligning well with observed values.

Contribution

It introduces a novel Lie group Hamiltonian approach to derive the Higgs mass and related electroweak parameters from fundamental constants and decay processes.

Findings

Higgs mass calculated as 125.1 GeV using fundamental constants.

Derived electroweak scale and gauge boson masses match observed data.

Close approximation of neutron to proton mass ratio.

Abstract

We investigate the neutron to proton decay via a Higgs mechanism in the framework of a reinterpreted Kogut-Susskind Hamiltonian on the Lie group u(3). We calculate expressions for a scalar Higgs mass, an electroweak energy scale, and vector gauge boson masses which all compare well with observed or derived values. Our sole ad hoc inputs to the calculations are the classical electron radius and the weak mixing angle. Our result for the Higgs mass relative to the electron mass involves only mathematical constants and the fine structure constant. It yields 125.1 GeV for a fine structure constant taken as a geometric mean between it's sliding scale values at respectively the electron mass and the W vector boson mass which are both involved in the neutron decay. In passing we compare with the neutral flavour baryon spectrum and mention an approximate calculation of the relative neutron to proton mass ratio of 0.13847 percent which is promisingly close to the observed value of 0.137842 percent. We finally mention the Fermi coupling constant as a derived quantity.