Georgi–Jarlskog mass relation - Alchetron, the free social encyclopedia

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:

m e ≈ 1 3 m d m μ ≈ 3 m s m τ ≈ m b

and sometimes as:

m d m s ≈ 9 m e m μ m s m b ≈ 1 3 m μ m τ

Inserting values from the table above for comparison:

m e ≈ 1 3 m d → 0.511 M e V ≈ 1.5 M e V m μ ≈ 3 m s → 105.7 M e V ≈ 261 M e V m τ ≈ m b → 1.78 G e V ≈ 4.24 G e V m d m s ≈ 9 m e m μ → 0.051 ≈ 0.0435 m s m b ≈ 1 3 m μ m τ → 0.021 ≈ 0.0198

References

Georgi–Jarlskog mass relation Wikipedia

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