# 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} }

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

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- 2017

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…

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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

- Geology
- 2019

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.

## References

SHOWING 1-10 OF 43 REFERENCES

On the Koide-like relations for the running masses of charged leptons, neutrinos and quarks

- Physics
- 2006

Updated estimate of running quark masses

- Physics
- 1998

Stimulated by recent development of the calculation methods of the running quark masses $m_q(\mu)$ and renewal of the input data, for the purpose of making a standard table of $m_q(\mu)$ for…

Challenge to the Mystery of the Charged Lepton Mass Formula

- Physics
- 2005

Why the charged lepton mass formula m_e +m_\mu +m_\tau = {2/3} (\sqrt{m_e}+\sqrt{m_\mu} +\sqrt{m_\tau})^2 is mysterious is reviewed, and guiding principles to solve the mystery are presented.…

Remark on Koide's Z 3 -symmetric parametrization of quark masses

- Physics
- 2012

The charged lepton masses may be parametrized in a Z3-symmetric language appropriate to the discussions of Koide's formula. The phase parameter \delta_L appearing in this parametrization is…

Charged lepton mass sum rule from U(3)-family Higgs potential model

- Physics
- 1990

In this paper, the authors assume U(3)-family nonet Higgs scalars which couple to charge leptons bilinearly, a simple Higgs potential with a term which breaks the U(3)-family into SU(3)-family will…

U(3)-family nonet Higgs boson and its phenomenology

- Physics
- 1996

In a model where quark and lepton masses and family-mixings are caused not by a variety of Yukawa couplingsyij(i,j=1, 2, 3: family indices) with one vacuum expectation value (VEV)ν=〈φL0〉0, but by a…

Impacts of the Higgs mass on vacuum stability, running fermion masses and two-body Higgs decays

- Physics
- 2012

The recent results of the ATLAS and CMS experiments indicate 116 GeV less than or similar to M-H less than or similar to 131 GeV and 115 GeV less than or similar to M-H less than or similar to 127…

Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum

- Physics
- 2009

Koide's mass formula is an empirical relation among the charged lepton masses which holds with a striking precision. We present a model of charged lepton sector within an effective field theory with…

Planck 2013 results. XVI. Cosmological parameters

- Physics
- 2014

This paper presents the first cosmological results based on Planck measurements of the cosmic microwave background (CMB) temperature and lensing-potential power spectra. We find that the Planck…