https://doi.org/10.1140/epjc/s10052-016-3990-3
Regular Article - Theoretical Physics
Explorations of two empirical formulas for fermion masses
Department of Physics, College of Sciences, Northeastern University, Shenyang, 110819, China
* e-mail: linan@mail.neu.edu.cn
Received:
21
December
2015
Accepted:
25
February
2016
Published online:
14
March
2016
Two empirical formulas for the lepton and quark masses (i.e. Kartavtsev’s extended Koide formulas), 
and 
, are explored in this paper. For the lepton sector, we show that 
, only if the uncertainty of the tauon mass is relaxed to about 
confidence level, and the neutrino masses can consequently be extracted with the current experimental data. For the quark sector, the extended Koide formula should only be applied to the running quark masses, and 
is found to be rather insensitive to the renormalization effects in a large range of energy scales from GeV to 
GeV. We find that is always slightly larger than 2/3, but the discrepancy is merely about 5 %.
© The Author(s), 2016
