Article
Version 1
Preserved in Portico This version is not peer-reviewed
The Family Formula for Leptons and Quarks
Version 1
: Received: 24 August 2019 / Approved: 25 August 2019 / Online: 25 August 2019 (17:06:35 CEST)
How to cite: Perkovic, N. The Family Formula for Leptons and Quarks. Preprints 2019, 2019080259. https://doi.org/10.20944/preprints201908.0259.v1 Perkovic, N. The Family Formula for Leptons and Quarks. Preprints 2019, 2019080259. https://doi.org/10.20944/preprints201908.0259.v1
Abstract
The problem of Yukawa couplings being arbitrary parameters in the Standard Model Higgs mechanism is a long standing one due to their formulaic dependence on the Higgs Vacuum Expectation Value. We will attempt to solve this problem and provide a strong argument that the Yukawa couplings of charged leptons and down type quarks are not arbitrary parameters in the SM. A new methodology for predicting the Yukawa couplings will be presented by using Compton wavelengths, the Rydberg Constant and g-factors of charged leptons instead of relying on the Higgs VEV. We will then proceed to rewrite this new method in terms of an empirical formula that depends on the running of the fine-structure constant on the Q scale, charge and lepton quantum numbers and g-factors to predict the values of the Yukawa couplings for all three generations of charged leptons and d-type quarks. We will also touch on the subject of neutrinos both as Majorana and Dirac fermions respectively and make a prediction for the lightest possible Majorana neutrino and the differences between Dirac neutrinos and anti-neutrinos. We conclude that the Yukawa couplings are not arbitrary parameters in the SM and that this new formula provides very accurate results.
Keywords
Higgs mechanism; Yukawa coupling; fine structure constant; leptons; quarks
Subject
Physical Sciences, Particle and Field Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment