Low-energy Prediction of Neutrino Mixing Angles from a Similarity Ansatz

초록

We propose to connect a lepton mixing matrix on a high energy scale to a quark mixing matrix by using a similar transformation. This ansatz constrains all the high-energy angles to be under a certain small bound. The similarity between Cabibbo-Kobayashi-Maskawa(CKM) and Potecorvo-Maki-Nakagawa-Sakata(PMNS) significantly narrows the ranges of the physical parameters. The condition requires that sin theta(13) not be larger than 0.15, the masses be of quasi-degenerate normal ordering, and tan beta be large. Because the predictions from the similarity ansatz are so narrow, they can be tested by experiments in the near future.

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