Comment on evidence for new interference phenomena in the decay D+ -> K- pi+ mu+ nu

Abstract

The experimental determination of low energy pi K scattering phase shifts would assist in determining scattering lengths as well as low energy constants of chiral perturbation theory for which sum rules have been constructed. The FOCUS collaboration has presented evidence for interference pheomena from their analysis of D_l4 decays based on decay amplitudes suitable for a cascade decay D -> K* -> K pi. We point out that if the well-known full five body kinematics are taken into account, pi K scattering phases may be extracted. We also point out that other distributions considered in the context of K_l4 decays can be applied to charm meson decays to provide constraints on violation of |Delta I|=1/2 rule and T-violation.

9 pages, plain latex; version with minor changes compared to v1 on lepton masses effects, sign error eliminated, clarifying remarks added, one additional ref.; version to appear in Phys. Lett. B

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• First determination of $f_{+}(0)|V_{us}|$ from a combined analysis of $\tau \to K\pi {\nu }_{\tau }$ decay and $\pi K$ scattering with constraints from $K_{\ell 3}$ decays
• Low-energy pi-pi and pi-K scatterings revisited in three-flavour resummed chiral perturbation theory
• Recent Developments on the CKM Matrix
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays