$SO(10)$ Operator Analysis For $ν_μν_τ$ Oscillations

Details $SO(10)$ Operator Analysis For $ν_μν_τ$ Oscillations $SO(10)$ Operator Analysis For $ν_μν_τ$ Oscillations

1993-07-15

arxiv.org/abs/hep-ph/9307275v1

Phys.Rev. D49 (1994) 4826-4834

Physics

High Energy Physics

High Energy Physics - Phenomenology

Straight Latex, 25 pages + 2 figures available by mail or fax, LBL-33936

Scientific paper

10.1103/PhysRevD.49.4826

In grand unified theories the flavor mixing angles of leptons are related to those of quarks. In this paper we study SO(10) theories with a precise group theoretic relation at the GUT scale for mixing between the heaviest two generations: $\thetuto = \kappa \abs{\vcbo}$. A comprehensive operator search yields all possible cases where $\kappa$ is a group theory Clebsch. The resulting predictions for $\nu_\mu \nu_\tau$ oscillations are scaled from the grand to the weak scales. We find that all but one of the models which have such a relationship between $\thetuto$ and $\vcbo$, and are not already excluded, will be probed by the CHORUS and NOMAD experiments. A more precise mixing measurement, for example by the proposed P803 experiment, could distinguish between the models.

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