Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes

Details Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes

2002-12-02

arxiv.org/abs/hep-ph/0212016v1

Eur.Phys.J.C27:439-446,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, LateX, no figure

Scientific paper

10.1140/epjc/s2002-01120-4

We derive dispersion relations for $K\to\pi\pi$ decay, using the Lehmann-Symanzik-Zimmermann formalism, which allows the analytic continuation of the amplitudes with respect to the momenta of the external particles. No off-shell extrapolation of the field operators is assumed. We obtain generalized Omn\`es representations, which incorporate the $\pi\pi$ and $\pi K$ $S$-wave phase shifts in the elastic region of the direct and crossed channels, according to Watson theorem. The contribution of the inelastic final-state and initial-state interactions is parametrized by the technique of conformal mappings. We compare our results with previous dispersive treatments and indicate how the formalism can be combined with lattice calculations to yield physical predictions.

Affiliated with

Also associated with

No associations

Rating

Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dispersion relations and Omnès representations for $K \to ππ$ decay amplitudes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602512