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}
}
  • G. Gao, Nan Li
  • 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… 
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.

References

SHOWING 1-10 OF 43 REFERENCES
Updated estimate of running quark masses
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
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
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
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
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
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
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
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
...
...