2015/12/20 by Guan-Hua Gao, Nan Li, Gao, Guan-Hua +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1512.06349
openalex publication_date 2015/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two empirical formulae for the lepton and quark masses (i.e. Kartavtsev's extended Koide formulae), Kl=(∑l ml)/(∑l√(ml))2=2/3 and Kq=(∑q mq)/(∑q√(mq))2=2/3, are explored in this paper. For the lepton sector, we show that Kl=2/3, only if the uncertainty of the tauon mass is relaxed to about 2σ 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 Kq is found to be rather insensitive to the renormalization effects in a large range of energy scales from GeV to 1012 GeV. However, Kq is always slightly larger than 2/3, but the discrepancy is merely about 5%.