Abstract
We analyse the process $\tau^-\to\nu_\tau\pi^-\pi^0$ allowing for anomalous weak charged current magnetic and electric dipole moment interactions and determine the effects on the differential and total decay rates. Using recent experimental data we determine the following values for the anomalous magnetic and electric dipole moment parameters, respectively: $\kappa = 0.16 \pm 0.08; and |\tilde\kappa| = 0.88^{+0.25}_{-0.35}.$
Highlights
In the Standard Model the charged current interactions of the tau lepton are mediated by the W boson with a pure V −A coupling
The sensitivity of the differential distributions is analysed for typical samples of τ − → ντ π−π0 decays in e+e− → τ +τ − events which are reconstructed by the LEP and SLC experiments
We present calculations of the differential and total decay rates for the process τ − → ντ π−π0, allowing for anomalous charged current magnetic and electric dipole moments, κ and κrespectively
Summary
After integration over the unobservable neutrino direction and the azimuthal angle of the charged pion, and neglecting the mass difference between the charged and neutral pions, the differential decay rate is given by dΓ. F (q2) describes the resonant structure of the two-pion invariant mass and the model used to describe it is discussed in more detail . Additional couplings in τ → ρν decays will produce measured values of polarisation which differ from analyses of other τ decay modes and the predictions from global fits to Electroweak parameters in the context of the Standard. We first integrate the differential width presented above with respect to q2 and cos β. The differential width, retaining only the θ dependence, is of the form (A. where, for β = −0.145, we obtain the following numerical values f0† = (518.6 ± 6.4) · 10−15 GeV (20).
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