Form Invariance of the Neutrino Mass Matrix
Abstract
Consider the most general 3 X 3 Majorana neutrino mass matrix M. Motivated by present neutrino-oscillation data, much theoretical effort is directed at reducing it to a specific texture in terms of a small number of parameters. This procedure is often ad hoc. I propose instead that for any M one may choose, it should satisfy the condition U M U^T = M, where U not equal to 1 is a specific unitary matrix such that U^N represents a well-defined discrete symmetry in the nu_{e,mu,tau} basis, N being a particular integer not necessarily equal to one. I illustrate this idea with a number of examples, including the realistic case of an inverted hierarchy of neutrino masses.Keywords
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