Anomalous algebras and neutrino sum rules

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Abstract
Some popular neutrino sum rules and the underlying algebra, which is anomalous in the sense that it cannot be realized in any finite (nontrivial) order of perturbation theory, are examined within the framework of the renormalization group. For asymptotically free theories, the leading corrections to these sum rules—at large but finite energies—are evaluated. The use of sum rules as an experimental probe into the structure of gauge models and the nature of charm is discussed in the light of these considerations.