Low-Energy Neutrino Majorana Phases and Charged-Lepton Electric Dipole Moments

Abstract

If the neutrinos are Majorana fermions, there are at least three new, potentially observable CP-odd phases that parameterize CP-invariance violating phenomena. We currently have no information regarding any of them and know that two out of the three, the so-called Majorana phases, are very hard to access experimentally. Here, we discuss the effect of Majorana phases on charged-lepton electric dipole moments (EDM), and explicitly show that neutrino Majorana phases induce EDMs even in the absence of other sources of CP-invariance violation. We also argue that while the Majorana neutrino contribution to EDMs is tiny, there is one generic ultraviolet completion to the standard model plus massive Majorana neutrinos -- the standard model plus a triplet Higgs boson -- that leads to significantly enhanced contributions which are still proportional to the low-energy neutrino Majorana phases. If this particular scenario is realized in nature, it seems possible, at least in principle, to measure the Majorana phases by precisely measuring charged-lepton EDMs.

13 pages, 9 figures

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• Sensitivity to light weakly-coupled new physics at the precision frontier
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• Interplay between neutrino magnetic moments and $CP$ violating phases in left-right models
• Electric Dipole Moments of Charged Leptons from Their Majorana-type Yukawa Couplings
• Dynamical origin of neutrino masses and dark matter from a new confining sector
• Light Leptonic New Physics at the Precision Frontier
• Some aspects of CP violation and gauge interactions in the standard model and beyond