Cosmological Constraint on the Zee model

Abstract

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, $L^{\prime }\equiv L_e-L_{\mu }-L_{\tau }$.

10 pages, LaTeX

References in corpus (4)

• Can the Zee ansatz for neutrino masses be correct?
• Radiatively Induced Neutrino Majorana Masses and Oscillation
• A Study of the Charged Scalar in the Zee Model
• Models of Neutrino Masses and Baryogenesis

Cited by in corpus (6)

• An R-parity conserving radiative neutrino mass model without right-handed neutrinos
• Neutrino Mixing and the Private Higgs
• Phenomenology in the Zee Model with the A_4 Symmetry
• Escape from washing out of baryon number in a two-zero-texture general Zee model compatible with the large mixing angle MSW solution
• R-Parity Conserving Supersymmetric Extension of the Zee Model
• Protecting the primordial baryon asymmetry in the $SU(2{)}_L$ triplet Higgs model compatible with KamLAND and WMAP