A Microscopic Approach to Quark and Lepton Masses and Mixings

TL;DR

This paper presents a microscopic model for quark and lepton masses and mixings, explaining the hierarchy and tiny neutrino masses through internal dynamics and symmetries, and calculates mixing parameters.

Contribution

It develops a detailed microscopic framework linking fermion masses and mixings to internal parameters and symmetries, including a novel explanation for neutrino masses and mixing angles.

Findings

Top quark mass expressed via Fermi scale and exchange couplings.

Hierarchy in fermion spectrum attributed to microscopic coupling hierarchy.

Calculated PMNS mixing angles and CP phase for specific parameters.

Abstract

In recent papers a microscopic model for the SM Higgs mechanism has been proposed, and an idea how to determine the 24 quark and lepton masses of all 3 generations has emerged in that framework. This idea is worked out in detail here by accommodating the fermion masses and mixings to microscopic parameters. The top quark mass can be given in terms of the Fermi scale and of certain exchange couplings of isospin vectors obeying a tetrahedral symmetry. The observed hierarchy in the family spectrum is attributed to a natural hierarchy in the microscopic couplings. The neutrinos will be shown to vibrate within the potential valleys of the system, thus retaining very tiny masses. This is related to a Goldstone effect inside the internal dynamics. A discussion of the quark and lepton mixing matrices is also included. The mixing angles of the PMNS matrix are calculated for an example set of parameters, and a value for the CP violating phase is given.