SO(10) operator analysis for nu micro nu tau oscillations.

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: [theta][sub [mu][tau]][sup 0]=[kappa][vert bar][ital V][sub [ital c][ital b]][sup 0][vert bar]. A comprehensive operator search yields all possible cases where [kappa] is a group theory Clebsch coefficient. The resulting predictions for [nu][sub [mu]][nu][sub [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 [theta][sub [mu][tau]][sup 0] and [ital V][sub [ital c][ital b]][sup 0], 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.