Georgi–Jarlskog mass relation

In Grand Unified Theories of the SU(5) or SO(10) type, there is a mass relation predicted between the electron and the down quark, the muon and the strange quark and the tau lepton and the bottom quark called the Georgi–Jarlskog mass relations. The relations were formulated by Howard Georgi and Cecilia Jarlskog.

At GUT scale, these are sometimes quoted as:

In the same paper it is written that:

Meaning that:

+Current values for Lepton and Quark masses Symbol Description Renormalization scheme (point) ValuemeElectron mass0.511 MeVmuUp quark massμ = 2 GeV1.9 MeVmdDown quark massμ = 2 GeV4.4 MeVmsStrange quark massμ = 2 GeV87 MeVmμMuon mass105.7 MeVmcCharm quark massμ = mc1.32 GeVmτTau mass1.78 GeVmbBottom quark massμ = mb4.24 GeVmtTop quark massOn-shell scheme172.7 GeV

References