A non-standard CP transformation leading to maximal atmospheric neutrino mixing

By W. Grimus, L. Lavoura. 2003

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Abstract We discuss a neutrino mass matrix M ν originally found by Babu, Ma, and Valle (BMV) and show that this mass matrix can be characterized by a simple algebraic relation. From this relation it follows that atmospheric neutrino mixing is exactly maximal while at the same time an arbitrary mixing angle θ 13 of the lepton mixing matrix U is allowed and—in the usual phase convention— CP violation in mixing is maximal; moreover, neither the neutrino mass spectrum nor the solar mixing angle are restricted. We put forward a seesaw extension of the Standard Model, with three right-handed neutrinos and three Higgs doublets, where the family lepton numbers are softly broken by the Majorana mass terms of the right-handed neutrino singlets and the BMV mass matrix results from a non-standard CP symmetry.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0d432d87767db38616a0adcf9924013fad7f11b6

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In Nuclear and High Energy Physics

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