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arXiv · 2207.04863

A nonlocal theory of fermion mixing

Antonio Capolupo·Aniello Quaranta·Raoul Serao
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Abstract

We study a nonlocal generalization of two flavor fermion mixing and compute the transition probability by means of the path integral formalism. In our treatment, we delocalize only the mixing term, and consider a perturbative interaction with a small mixing angle. The oscillation formula derived reduces to the correct local form when the appropriate limit is considered. We apply our formalism to some string-inspired delocalization kernels and discuss the phenomenological deviations from the local theory.

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Antonio Capolupo, Aniello Quaranta, Raoul Serao. 2022-07-11. A nonlocal theory of fermion mixing. https://arxiv.org/abs/2207.04863

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