# Explorations of two empirical formulas for fermion masses

@article{Gao2015ExplorationsOT,
title={Explorations of two empirical formulas for fermion masses},
author={Guangping Gao and Nan Li},
journal={The European Physical Journal C},
year={2015},
volume={76},
pages={1-7}
}
• Published 20 December 2015
• Physics
• The European Physical Journal C
Two empirical formulas for the lepton and quark masses (i.e. Kartavtsev’s extended Koide formulas), $$K_l=(\sum _l m_l)/(\sum _l\sqrt{m_l})^2=2/3$$Kl=(∑lml)/(∑lml)2=2/3 and $$K_q=(\sum _q m_q)/(\sum _q\sqrt{m_q})^2=2/3$$Kq=(∑qmq)/(∑qmq)2=2/3, are explored in this paper. For the lepton sector, we show that $$K_l=2/3$$Kl=2/3, only if the uncertainty of the tauon mass is relaxed to about $$2\sigma$$2σ confidence level, and the neutrino masses can consequently be extracted with the current…
4 Citations
A New Empirical Approach to Quark and Lepton Masses
We present an alternative to the Koide formula and it’s extensions. By introducing two parameters k and ↵f derived from charged leptons we are able to construct new empirical formulas that appear to
A New Empirical Approach to Lepton and Quark Masses
A lepton ratio with a small dimensionless residual ke = me m_t^2 /m_u^3 and mass scaling factor alpha_f = 27me /m_t are used to construct empirical formulas for charged leptons, left-handed neutrinos
On a Possible Internal Structure of the Tau
The mass of the tau is found to be three times that of a preon described in precedent articles. From this we make an hypothesis about its internal structure.