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

Abstract

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.

arXiv comment4 pages, 1 figure

References in corpus (8)

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• Violation of Time-Reversal Invariance and CPLEAR Measurements
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Cited by in corpus (8)

• New Physics at a Super Flavor Factory
• Search for CP violation in tau -> K^0_S pi nu_tau decays at Belle
• Effective-field theory analysis of the ${\tau }^{-}\to (K\pi {)}^{-}{\nu }_{\tau }$ decays
• CP asymmetry in $\tau \to K_S\pi {\nu }_{\tau }$ decays within the Standard Model and beyond
• Subtleties in the BaBar measurement of time-reversal violation
• SUSY R parity violation and CP asymmetry in semi-leptonic tau-decays
• Semileptonic $\tau$ decays: powerful probes of non-standard charged current weak interactions
• Violation of CP and T in semileptonic decays due to scalar interactions