2006/11/27 by J. Królikowski, Krolikowski, Wojciech
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Particle physics theoretical and experimental studies #Cosmology and Gravitation Theories
paper · pdf · doi:10.48550/arxiv.hep-ph/0611330
In the framework of a mass formula proposed previously (transforming in a specific way three free parameters into three masses), a simple empirical sum rule for three charged-lepton masses is found, predicting mτ= 1776.9926 MeV, when the experimental values of me and mμare used as an input. The experimental value to be compared with is mτ= 1776.99+0.29-0.26 MeV. This satisfactory sum rule (equivalent to a simple parameter constraint in the mass formula) is linear in masses and involves integers as its coefficients. The author believes that such a simple and precise mass sum rule for charged leptons may help in the process of developing realistic models for mass spectra of fundamental fermions. In the second part of the paper, another equivalent parametrization of the charged-lepton mass formula is described, corresponding to an oscillatory picture of their mass matrix, where two matrices appear playing the role of annihilation and creation operators in the generation space.