Mass Relation Between Top and Bottom Quarks

TL;DR

This paper uses a lattice electroweak theory to approximate the fermion self-energy and predict the top to bottom quark mass ratio, aligning with recent experimental data.

Contribution

It introduces a novel approach to calculate quark mass ratios using a Planck lattice electroweak framework, providing a new theoretical insight.

Findings

Predicted top quark mass matches experimental measurements.

Derived the mass ratio between top and bottom quarks from electroweak coupling constants.

Demonstrated the viability of lattice Dyson equations in fermion mass predictions.

Abstract

In the framework of the recently proposed electroweak theory on a Planck lattice, we are able to solve approximately the lattice Dyson equation for the fermion self-energy functions, and obtain the ratio between the masses of the $t-$ and $b-$ quarks in terms of the electroweak coupling constants. The predicted top mass agrees with recent determinations from electroweak observables.