Conformal Neutrinos: an Alternative to the See-saw Mechanism

Abstract

We analyze a scenario where the right-handed neutrinos make part of a strongly coupled conformal field theory and acquire an anomalous dimension γ<1 at a large scale Λ. Their Yukawa couplings to the Higgs become irrelevant at the fixed point and they are suppressed at low scales giving rise naturally to a small (sub-meV) Dirac neutrino mass which breaks the conformal invariance. We derive an upper bound on γfrom loop-induced flavor changing neutral currents. Neutrino Yukawa couplings can be sizable at electroweak scales and therefore the invisible decay of the Higgs in the neutrino channel can be comparable to the c\bar c and τ\barτmodes and predict interesting Higgs phenomenology. If lepton number is violated in the conformal theory an irrelevant Majorana mass operator for right-handed neutrinos appears for γ>1/2 giving rise to an inverse see-saw mechanism. In this case light sterile neutrinos do appear and neutrino oscillation experiments are able to probe our model.

11 pages, 4 figures. v2: Discussion of the lepton number violating case corrected; References added

References in corpus (8)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Unparticle Physics
• Another Odd Thing About Unparticle Physics
• Sterile neutrino oscillations after first MiniBooNE results
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Cited by in corpus (3)

• Composite Dirac Neutrinos
• Light Neutrinos from a Mini-Seesaw Mechanism in Warped Space
• Unparticle-Induced Lepton Flavor Violating Decays τ^- ->l^- (V^0, ~P^0)