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An SU(3) symmetry for light neutrinos · Around

2007

An SU(3) symmetry for light neutrinos

Riazuddin

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It is proposed that light neutrinos form a triplet in a global SU(3) symmetry in mass eigenstate basis.

Assuming that the SU(3)symmetry is broken in the direction (-alambda_{3}+frac{b}/{sqrt{3}}lambda_{8}), and after going to the flavor basis we predict atmospheric mixing angle, sin ^{2}theta_{23}=0.5 and sin theta_{13}=0 if nu_{mu}-nu_{tau} symmetry is assumed.
In the flavor basis the diagonal part of matrix coefficient of b (dominant part) is found to transform like (lambda_{3}+frac{1}/{sqrt{3}}lambda_{8}).
Imposing the same on matrix coefficient of $a$ fixes solar mixing angle,sin ^{2}theta _{12}=frac{1}{3}.

Built on

A. Aguilar et al., [LSND Collaboration], Phys. Rev. D64
2001
Earlier work this paper cites.
P.F.Harrison,D.H.Perkins and W.G Scott, Phys.Lett. B458,
2002
Earlier work this paper cites.
M. Maltoni, T. Schwetz, M. A. Tortola and J.W. F. Valle, New J. Phys. 6
2004
Earlier work this paper cites.

Similar

S. Eidelman et al., [Particle Data Group Collaboration], Phys. Lett. B592
2004
Cited alongside, same era.
C.S.Lam, Phys .Lett. B507,
2004
Cited alongside, same era.
For a recent use of ν e ⟷ ν μ \nu_{e}\longleftrightarrow\nu_{\mu} symmetry in other contexts, see for example, M. Maltoni et al. Phys. Rev. D68
2005
Cited alongside, same era.
For a recent discussion and many references, see A. de Gouvea, hep-ph/0411274
Cited in the paper.
See for example, R. N. Mohapatra et al. Theory of neutrinos, hep-ph/0412099
Original
Cited in the paper.

Then

See for example,Y. H. Ahn, Sin Kyu Kang, C. S. Kim, and Jake Lee, Phys. Rev. D73,
2005
Later among the works it cites.
I.de Mederios Varzielas, S.F.King and G.G.Ross, Phys. Lett. B644
2006
Later among the works it cites.

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