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2015

Lepton Mixing in $A_5$ Family Symmetry and Generalized CP

Li, Cai-Chang, Ding, Gui-Jun

Understand

We study lepton mixing patterns which can be derived from the $A_5$ family symmetry and generalized CP.

We find five phenomenologically interesting mixing patterns for which one column of the PMNS matrix is $(\sqrt{\frac{5+\sqrt{5}}{10}},\frac{1}{\sqrt{5+\sqrt{5}}},\frac{1}{\sqrt{5+\sqrt{5}}})^{T}$ (the first column of the golden ratio mixing), $(\sqrt{\frac{5-\sqrt{5}}{10}},\frac{1}{\sqrt{5-\sqrt{5}}},\frac{1}{\sqrt{5-\sqrt{5}}})^{T}$ (the second column of the golden ratio mixing), $(1,1,1)^{T}/\sqrt{3}$ or $(\sqrt{5}+1,-2,\sqrt{5}-1)^{T}/4$.
The three lepton mixing angles are determined in terms of a single real parameter $\theta$, and agreement with experimental data can be achieved for certain values of $\theta$.
The Dirac CP violating phase is predicted to be trivial or maximal while Majorana phases are trivial.

Built on

I. Girardi, A. Meroni, S. T. Petcov and M. Spinrath, JHEP 1402
Original
1966
Earlier work this paper cites.
N. Cabibbo, Phys. Lett. B 72
1978
Earlier work this paper cites.
C. Jarlskog, Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
G. Ecker, W. Grimus and W. Konetschny, Nucl. Phys. B 191
1988
Earlier work this paper cites.
W. Grimus and M. N. Rebelo, Phys. Rept. 281
1997
Earlier work this paper cites.
D. L. Johnson, Presentations of Groups, 2nd ed., 1997, Cambridge Univ. Press
1997
Earlier work this paper cites.
G. Altarelli and F. Feruglio, Nucl. Phys. B 741
2006
Earlier work this paper cites.
A. Datta, F. S. Ling and P. Ramond, Nucl. Phys. B 671
Original
2007
Earlier work this paper cites.
C. S. Lam, Phys. Lett. B 656
Original
2008
Earlier work this paper cites.
L. L. Everett and A. J. Stuart, Phys. Lett. B 698
Original
2011
Earlier work this paper cites.
R. d. A. Toorop, F. Feruglio and C. Hagedorn, Phys. Lett. B 703
Original
2011
Earlier work this paper cites.
C. S. Lam, Phys. Rev. D 83
Original
2011
Earlier work this paper cites.
S. F. King and C. Luhn, JHEP 1109
Original
2011
Earlier work this paper cites.
J. K. Ahn et al
Original
2012
Earlier work this paper cites.
Y. Abe et al
Original
2012
Earlier work this paper cites.
M. Auger et al
Original
2012
Earlier work this paper cites.
G. J. Ding, L. L. Everett and A. J. Stuart, Nucl. Phys. B 857
Original
2012
Earlier work this paper cites.
R. de Adelhart Toorop, F. Feruglio and C. Hagedorn, Nucl. Phys. B 858
Original
2012
Earlier work this paper cites.