A "Known" CP Asymmetry in $τ$ Decays

Details A "Known" CP Asymmetry in $τ$ Decays A "Known" CP Asymmetry in $τ$ Decays

2005-06-04

arxiv.org/abs/hep-ph/0506037v2

Phys.Lett. B625 (2005) 47-52

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, LATEX, no figures; dedicated to our late colleague and friend P. Kabir; Prodded by our colleagues J. Rosner and Y. Gr

Scientific paper

10.1016/j.physletb.2005.08.033

We point out that dynamics known from the observed CP violation in $K_L\to \pi^{\mp}l^{\pm}\nu$ generate a CP asymmetry of $3.3\cdot 10^{-3}$ in $\tau^{\pm} \to \nu K_L\pi^{\pm}$. CPT invariance requires the same asymmetry in the more approachable transitions $\tau^{\pm} \to \nu K_S\pi^{\pm}$. While little new can be learnt from this fact, it has to be accounted for, since CP asymmetries in $\tau \to \nu K\pi$ channels are prime candidates for revealing the intervention of New Physics. This `known' CP asymmetry provides a very useful calibration point in such searches. It also provides a test of CPT symmetry (as well as the $\Delta Q = \Delta S$ selection rule).

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