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arxiv: hep-ph/0312007 · v2 · submitted 2003-12-01 · ✦ hep-ph

Leptogenesis and a Jarlskog Invariant

classification ✦ hep-ph
keywords epsiloninvariantjarlskogleptogenesisneutrinophasesrelationalthough
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The relation between low energy CP violating phases, and the CP asymmetry of leptogenesis, $\epsilon$, is investigated. Although it is known that in general those are independent, there may be a relation when a model is specified. We construct a Jarlskog invariant which is proportional to $\epsilon$ if the right-handed neutrino masses are hierarchical. Since the invariant can be expressed in terms of left-handed neutrino parameters--some measurable, and some not--it is useful in identifying the limits in which $\epsilon$ is related to MNS phases.

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