CP Violation in $\tau \to 3\pi {\nu }_{\tau }$

Abstract

We consider CP violating effects in the decays $\tau \to (3\pi ){\nu }_{\tau }$ where both the ${\mathrm{J}}^{\mathrm{P}}=1^{+}$ resonance, $a_1$, and ${\mathrm{J}}^{\mathrm{P}}=0^{-}$ resonance, ${\pi }^{\prime }$, can contribute. The interference between the $a_1$ and ${\pi }^{\prime }$ resonances can lead to enhanced CP-violating asymmetries whose magnitudes depend crucially on the ${\pi }^{\prime }$ decay constant, $f_{{\pi }^{\prime }}$. We make an estimate of $f_{{\pi }^{\prime }}$ with a simplified chiral Lagrangian coupled to a massive pseudoscalar field, and we compare the estimates from the non-relativistic quark model and from the QCD sum rule with the estimate from the `mock' meson model. We then estimate quantitatively the size of CP-violating effects in a multi-Higgs-doublet model and scalar-leptoquark models. We find that, while CP-violating effects in the scalar-leptoquark models may require more than $10^{10}$ $\tau$ leptons, CP-violating effects from the multi-Higgs-doublet model can be seen at the $2\sigma$ level with about $10^7$ $\tau$ leptons using the chiral Lagrangian estimate of $f_{{\pi }^{\prime }}=(1\sim 5)\times 10^{-3}$ GeV.

Latex, 30 pages, 2 figures (not included). Three compressed postscript files of the paper available at ftp://ftp.kek.jp/kek/preprints/TH/TH-419/kekth419.ps.gz, Tau1.ps.gz, Tau2.ps.gz

References in corpus (11)

• Model independent constraints on leptoquarks from rare processes
• Phenomenology of models with more than two Higgs doublets
• Heavy Quark Expansion for the Inclusive Decay $\bar{B}\to \tau \bar{\nu }X$
• The Inclusive $\bar{B}\to \tau \bar{\nu }X$ Decay in Two Higgs Doublet Models
• Tau Kinematics from Impact Parameters
• Production of Polarized tau Pairs and Tests of CP Violation Using Polarized e+e- Colliders Near Threshold
• Implications of $b\to s\gamma$ for CP Violation in Charged Scalar Exchange
• Transverse Tau Polarization in Decays of the Top and Bottom Quarks in the Weinberg Model of CP Non-conservation
• CP Violation in $B^{\pm }\to \gamma {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$
• Influence of Kaonic Resonances on the CP Violation in $B\to K^{\ast }\gamma$Like Processes
• Pseudoscalar Mass Effects in Decays of Taus with Three Pseudoscalar Mesons

Cited by in corpus (15)

• Tau Decays and Chiral Perturbation Theory
• CP Violation in Semileptonic $\tau$ Decays with Unpolarized Beams
• Search for CP violation in tau -> K^0_S pi nu_tau decays at Belle
• CP Violation Beyond the Standard Model and Tau Pair Production in $e^{+}{e}^{-}$ Collisions
• CP violation in $B\to D\tau {\nu }_{\tau }$ using multi-pion tau decays
• Search For Non-Standard Model CP/T violation At Tau-Charm Factory
• CP Violation in the Cabbibo-suppressed Decay Tau->K Pi Nu_tau with Polarized Tau Leptons
• CP Violation in Hadronic tau Decays
• Direct CP violation in ${\tau }^{\pm }\to K^{\pm }{\rho }^0(\omega ){\nu }_{\tau }\to K^{\pm }{\pi }^{+}{\pi }^{-}{\nu }_{\tau }$
• Effective CP-violating operators of the tau lepton and some of their phenomenologies
• CP Violation in the Semileptonic $B_{l4}$ ($B->D\pi l\nu$) Decays: Multi-Higgs Doublet Model and Scalar-Leptoquark Models
• A MODEL FOR THE CHARMED $D_s^{+}$ MESON DECAYS INTO THREE PIONS
• A Model for the decay of the $D_s^{+}$ meson into three pions,
• CP Violation in the Semileptonic B_{l4} (B^\pm -> pi^+ π^- l^\pm ν) Decays
• Emergence of the $\pi (1300)$ Resonance from Lattice QCD