Cosmological Constraint on the Zee model

Details Cosmological Constraint on the Zee model Cosmological Constraint on the Zee model

2001-08-02

arxiv.org/abs/hep-ph/0108013v2

Phys.Lett. B519 (2001) 243-248

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, LaTeX

Scientific paper

10.1016/S0370-2693(01)01120-0

It is well known that the Zee model induces small neutrino masses by radiative corrections, where the bi-maximal flavor mixing is possible. We analyze the cosmological condition in order for the baryon asymmetry generated in the early universe not to be washed out in the Zee model. Since the lepton number is violated explicitly in the Zee model, the baryon asymmetry might be washed out through the sphaleron processes together with the lepton-number violating interactions. In this letter, we will show that the baryon asymmetry is {\it not} washed out, although it has been said that the Zee model cannot preserve the baryon asymmetry generated in the early universe. This can be seen by considering an approximately conserved number, $L' \equiv L_e-L_\mu-L_\tau$.

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