Explorations of two empirical formulas for fermion masses

  title={Explorations of two empirical formulas for fermion masses},
  author={Guangping Gao and Nan Li},
  journal={The European Physical Journal C},
  • 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… 
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