Neutrino mixings and leptonic CP violation from CKM matrix and Majorana phases

被引:30
|
作者
Kumar Agarwalla, Sanjib
Parida, M. K.
Mohapatra, R. N.
Rajasekaran, G.
机构
[1] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
[2] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[3] Inst Math Sci, Madras 600113, Tamil Nadu, India
来源
PHYSICAL REVIEW D | 2007年 / 75卷 / 03期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.75.033007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The high scale mixing unification hypothesis recently proposed by three of us (R. N. M., M. K. P. and G. R.) states that if at the seesaw scale the quark and lepton mixing matrices are equal, then for quasi-degenerate neutrinos radiative corrections can lead to large solar and atmospheric mixings and small reactor angle at the weak scale in agreement with data. Evidence for quasidegenerate neutrinos could, within this framework, be interpreted as being consistent with quark-lepton unification at high scale. In the current work, we extend this model to show that the hypothesis works quite successfully in the presence of CP-violating phases (which were set to zero in the first paper). In the case where the Pontecorvo-Maki-Nakagawa-Sakata matrix is identical to the Cabibbo-Kobayashi-Maskawa quark-mixing matrix at the seesaw scale, with a Dirac phase but no Majorana phase, the low energy Dirac phase is predicted to be (similar or equal to 0.3 degrees) and leptonic CP-violation parameter J(CP) similar or equal to (4-8) X 10(-5) and theta(13) = 3.5 degrees. If on the other hand, the Pontecorvo-Maki-Nakagawa-Sakata matrix is assumed to also have nonnegligible Majorana phase(s) initially, the resulting theory damps radiative magnification phenomenon for a large range of parameters but nevertheless has enough parameter space to give the two necessary large neutrino mixing angles. In this case, one has theta(13) = 3: 5 degrees-10 degrees and vertical bar J(CP)vertical bar as large as 0.02-0.04 which are accessible to long baseline neutrino oscillation experiments.
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页数:13
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