Measurement of the Dalitz plot slope parameters of the $K^\pm\toπ^\pmπ^+π^-$ decay

Physics – High Energy Physics – High Energy Physics - Experiment

Scientific paper

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14 pages, 5 figures. Version submitted to Phys. Lett. B. Slightly improved analysis and bibliography.

Scientific paper

10.1016/j.physletb.2007.04.044

The distribution of the $K^\pm\to\pi^\pm\pi^+\pi^-$ decays in the Dalitz plot has been measured by the NA48/2 experiment at the CERN SPS with a sample of $4.71\times 10^8$ fully reconstructed events. With the standard Particle Data Group parameterization the following values of the slope parameters were obtained: $g=(-21.134\pm0.017)\%$, $h=(1.848\pm0.040)\%$, $k=(-0.463\pm0.014)\%$. The quality and statistical accuracy of the data have allowed an improvement in precision by more than an order of magnitude, and are such as to warrant a more elaborate theoretical treatment, including pion-pion rescattering, which is in preparation.

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