What can we learn from new measurements of Dalitz plot parameters for K $\rightarrow 3 π$ decays ?

Details What can we learn from new measurements of Dalitz plot parameters for K $\rightarrow 3 π$ decays ? What can we learn from new measurements of Dalitz plot parameters for K $\rightarrow 3 π$ decays ?

1993-11-15

arxiv.org/abs/hep-ph/9311295v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

(DESY Int. Rep. 93-05, 16 p., 5 fig.)

Scientific paper

We give a simple expression in linear and quadratic Dalitz--plot slopes which does not depend on the charge combination of the $3\pi$ state $(K^\pm \to \pi^{\pm}\pi^{+}\pi^{-}$ or $\pi^{\pm}\pi^{0}\pi^{0}$ and $K_L^{0} \to \pi^{+}\pi^{-}\pi^{0}$ or $\pi^{0}\pi^{0}\pi^{0})$, if all phases between final states are negligible. After investigating the influence of radiative corrections, it is shown how new measurements, especially of quadratic slopes in the $\pi^{\pm} \pi^{0} \pi^{0}$ channel, could help to test theoretical predictions more stringently. A FORTRAN code for the radiatiative corrections is available on request.

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