Is there a paradox in CP asymmetries of tau to K_{L,S} pi nu decays?

Details Is there a paradox in CP asymmetries of tau to K_{L,S} pi nu decays? Is there a paradox in CP asymmetries of tau to K_{L,S} pi nu decays?

2007-02-27

arxiv.org/abs/hep-ph/0702282v1

Phys.Rev.D75:076001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure

Scientific paper

10.1103/PhysRevD.75.076001

Based on the description of unstable $K_{L,S}$ particles in quantum field theory (QFT), we compute the time-dependent probabilities for transitions between asymptotic states in $\tau^{\pm} \to [\pi^+\pi^-]_K\pi^{\pm}\nu$ decays, where the pair $[\pi^+\pi^-]_K$ is the product of (intermediate state) neutral kaon decays. Then we propose a definition of $\tau$ decays into $K_L$ and $K_S$ states, which reflects into the cancellation between their CP rate asymmetries, thus solving in a natural way the paradox pointed out previously in litterature. Since our definition of $K_{L,S}$ final states in $\tau$ decays is motivated on experimental grounds, our predictions for the integrated CP rate asymmetries can be tested in a dedicated experiment.

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