Ansatz of leptonic mixing: The alliance of bi-maximal mixing with a single-angle rotation

• Published in: Journal of the Korean Physical Society Vol. 65; no. 9; pp. 1347 - 1355
• Main Author: Siyeon, Kim
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01.11.2014; 한국물리학회
• Subjects: Mathematical and Computational Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Theoretical; 물리학; Flavor symmetry; Neutrino mass; Mixing angles
• ISSN: 0374-4884; 1976-8524
• DOI: 10.3938/jkps.65.1347

We introduce an ansatz of the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix that consists of specific types of transformations. Bi-maximal mixing is taken for the neutrino masses while a single-angle rotation in the 1–2 block is taken for the charged lepton masses. Motivated by the implications of the recent results on neutrino oscillations, θ 23 in the first octant and non-zero θ 13 are predicted by the ansatz. Three physical mixing angles are expressed in terms of a single variable, the 1–2 angle of charged leptons, so that a simple relation among the angles has been obtained: tan θ 13 = (sin θ 23 − sin θ 12 ). Finally a model of the inverted hierarchy that can produce the given ansatz is proposed.