Abstract
We study a CP and T violating triple (spin) correlation in the muon to electron conversion in nuclei in the context of the seesaw mechanism. After concluding that the results are negative for all three seesaw types, we turn to the left–right symmetric theories as the original source of seesaw. We find that in general this correlation is of order one which offers a hope of observing CP violation in lepton flavor violating processes for a L–R scale below around 10–30 TeV. We discuss the conditions that could render to (unlikely) conspiracies as to suppress the CP violating effects.
Highlights
After concluding that the results are negative for all three seesaw types, we turn to the left-right symmetric theories as the original source of seesaw
Probing CP phases is a great challenge of neutrino physics
Rare LFV decays may be important in this regard, especially μ → e conversion in nuclei that could reach unprecedented precision
Summary
Probing CP phases is a great challenge of neutrino physics. They can be manifest in CP even processes at colliders [1] and in neutrinoless double beta decay [2] or as CP odd in neutrino-antineutrino oscillations [3]. We can guess the answer from what we have learned here: if at low energies you are left with only the seesaw, whatever the type(s), the CP violating correlations vanish An example of such a theory is provided by a minimal extension of the original SU (5) theory that can simultaneously account for the unification of gauge couplings and neutrino mass. It is based on an addition of an adjoint 24F fermionic representation [17], which leads to the hybrid type I and type III seesaw and no other low energy manifestation. On the contrary, you would expect a large contribution to δCP , for both left and right electrons are present and L − R symmetry is broken
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