Intrinsic flavor violation for massive neutrinos

Abstract

It is shown that intrinsic neutrino flavor violation invariably occurs when neutrinos are created within the SM augmented by the known massive neutrinos, with mixing and nondegenerate masses. The effects are very small but much greater than the naive estimate $\Delta m^2/E_{\nu }^2$ or the branching ratio of indirect flavor violating processes such as $\mu \to e\gamma$ within the SM. We specifically calculate the probability (branching ratio) of pion decay processes with flavor violation, such as $\pi \to \mu {\bar{\nu }}_e$, showing nonzero results.

v3: published version

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Cited by in corpus (6)

• On flavor conservation in weak interaction decays involving mixed neutrinos
• Non-abelian gauge structure in neutrino mixing
• Particle mixing, flavor condensate and dark energy
• Quantum flavor oscillations extended to the Dirac theory
• Spin-Independent Two-Neutrino Exchange Potential with Mixing and $CP$-Violation
• On the flavor/mass dichotomy for mixed neutrinos: a phenomenologically motivated analysis based on lepton charge conservation in neutron decay