Watson's theorem and electromagnetism in K -> pi pi decay

Details Watson's theorem and electromagnetism in K -> pi pi decay Watson's theorem and electromagnetism in K -> pi pi decay

2001-03-13

arxiv.org/abs/hep-ph/0103144v1

Phys.Lett.B508:44-50,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, LaTeX, axodraw.sty

Scientific paper

10.1016/S0370-2693(01)00428-2

We consider what constraints unitarity and CPT invariance yield on the strong and electromagnetic phases entering K -> pi pi decay. In particular, we show that the relative size of the electromagnetically-induced changes in the I=0 and I=2 phase shifts in the two--pion final state do not depend on the explicit coupling to the pi^+ pi^- gamma channel. This demonstrates that Watson's theorem can be extended to include the presence of electromagnetism. We point out the consequences for the general structure of the K -> pi pi decay amplitudes in the presence of isospin violation.

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