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2006•Unpublished venueOpen access

Simplified Unitarity Triangles for the Lepton Sector

James D. Bjorken, P. F. Harrison, W. G. Scott

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Abstract

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the {nu}{sub 2} mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter U{sub e3} of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will facilitate comparison with experiment.

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What this paper is about

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the {nu}{sub 2} mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter U{sub e3} of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will facilitate comparison with experiment.

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Available abstract

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the {nu}{sub 2} mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of freedom, which eschews mixing angles, dealing instead, directly with the complex parameter U{sub e3} of the mixing matrix. Unitarity triangles then take a particularly simple form, which we hope will facilitate comparison with experiment.

Key concepts: Unitarity, Mixing (physics), Lepton, Eigenvalues and eigenvectors, Particle physics, Matrix (chemical analysis), Simple (philosophy), Degrees of freedom (physics and chemistry)

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