Empirical Relationships among Lepton and Quark Masses

Details Empirical Relationships among Lepton and Quark Masses Empirical Relationships among Lepton and Quark Masses

2006-02-16

arxiv.org/abs/physics/0602118v2

Physics

General Physics

13 pages, no figures

Scientific paper

We derive empirical relationships among elementary fermion masses based on relatively simple exponential formulae involving quantum numbers for the electromagnetic and strong interactions, with a weak correction factor motivated by a simple linear combination of mass terms for the weak and electromagnetic interactions of charged leptons. This results in a prediction of m_\tau = 1776.81234 (33) MeV, to be compared to the world average measurement of 1776.84 (17) MeV. We find a simple 2\pi relationship among neutrino mass ratios agrees well with present neutrino oscillation measurements. We extend the form of the mass ratios to the quark sector, giving qualitative agreement with quark masses.

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