Neutrino mass constraints on $μ$-decay and $π^0\to ν\barν$

Details Neutrino mass constraints on $μ$-decay and $π^0\to ν\barν$ Neutrino mass constraints on $μ$-decay and $π^0\to ν\barν$

2004-09-15

arxiv.org/abs/hep-ph/0409193v3

Phys.Rev.Lett. 95 (2005) 101802

Physics

High Energy Physics

High Energy Physics - Phenomenology

Accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.95.101802

In this letter, we show that upper-limits on neutrino mass translate into upper-limits on the class of neutrino-matter interactions that can generate loop corrections to the neutrino mass matrix. We apply our results to $\mu$- and $\pi$-decays and derive model-independent limits on six of the ten parameters used to parametrize contributions to $\mu$-decay that do not belong to the standard model. These upper-limits provide improved constraints on the five Michel parameters, $\rho,\xi^\prime,\xi^{\prime\prime},\alpha,\alpha^\prime$, that exceed PDG constraints by at least one order of magnitude. For $\pi^0\to \nu \bar{\nu}$ we find for the branching ratio: $B(\pi^0\to\nu \bar\nu) < 10^{-10}$.

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