4.5 Article

Implications of the Daya Bay observation of θ13 on the leptonic flavor mixing structure and CP violation

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CHINESE PHYSICS C
卷 36, 期 4, 页码 281-297

出版社

IOP PUBLISHING LTD
DOI: 10.1088/1674-1137/36/4/L01

关键词

the Daya Bay experiment; theta(13); lepton flavor mixing; CP violation

资金

  1. NSFC [11135009]

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The Daya Bay collaboration has recently reported its first (nu) over bar (e) -> (nu) over bar (e) oscillation result which points to theta(13) similar or equal to 8.8 degrees +/- 0.8 degrees (best-fit +/-1 sigma range) or theta(13) not equal 0 degrees at the 5.2 sigma level. The fact that this smallest neutrino mixing angle is not strongly suppressed motivates us to look into the underlying structure of lepton flavor mixing and CP violation. Two phenomenological strategies are outlined: (1) the lepton flavor mixing matrix U consists of a constant leading term U-0 and a small perturbation term Delta U; and (2) the mixing angles of U are associated with the lepton mass ratios. Some typical patterns of U-0 are reexamined by constraining their respective perturbations with current experimental data. We illustrate a few possible ways to minimally correct U-0 in order to fit the observed values of three mixing angles. We point out that the structure of U may exhibit an approximate mu-tau permutation symmetry in modulus, and reiterate the geometrical description of CP violation in terms of the leptonic unitarity triangles. The salient features of nine distinct parametizations of U are summarized, and its Wolfenstein-like expansion is presented by taking U-0 to be the democratic maxing pattern.

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