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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.[1]

At GUT scale, these are sometimes quoted as:

me13md
mμ3ms
mτmb

and sometimes as:

mdms9memμ
msmb13mμmτ
Current values for Lepton and Quark masses
Symbol Description Renormalization
scheme (point)
Value
me Electron mass 511 keV
md Down quark mass μTemplate:Overline = 2 GeV 4.4 MeV
mu Up quark mass μ[[MSbar scheme|Template:Overline]] = 2 GeV 1.9 MeV
mμ Muon mass 105.7 MeV
ms Strange quark mass μTemplate:Overline = 2 GeV 87 MeV
mc Charm quark mass μTemplate:Overline = mc 1.32 GeV
mτ Tau mass 1.78 GeV
mb Bottom quark mass μTemplate:Overline = mb 4.24 GeV
mt Top quark mass On-shell scheme 172.7 GeV

References

  1. Georgi H., Jarlskog C. A new lepton-quark mass relation in a unified theory (1979) Physics Letters B, 86 (3-4), pp. 297-300.


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