Empirical parameterization of the K+- -> pi+- pi0 pi0 decay Dalitz plot
J.R. Batley, A.J. Culling, G. Kalmus, C. Lazzeroni, D.J. Munday, M.W., Slater, S.A. Wotton, R. Arcidiacono, G. Bocquet, N. Cabibbo, A. Ceccucci, D., Cundy, V. Falaleev, M. Fidecaro, L. Gatignon, A. Gonidec, W. Kubischta, A., Norton, A. Maier, M. Patel, A. Peters, S. Balev
TL;DR
This paper introduces an empirical parameterization of the K+- -> pi+- pi0 pi0 decay Dalitz plot, aiding in Monte Carlo simulations and analysis of the decay's invariant mass distribution, including the cusp anomaly.
Contribution
It presents a new empirical model for the decay Dalitz plot, improving practical simulation and analysis of the decay process.
Findings
Successful fit of the Dalitz plot with the new parameterization
Enhanced Monte Carlo simulation capabilities
Better understanding of the cusp anomaly at M00=2m+
Abstract
As first observed by the NA48/2 experiment at the CERN SPS, the invariant mass (M00) distribution from decay shows a cusp-like anomaly at M00=2m+, where m+ is the charged pion mass. An analysis to extract the pi pi scattering lengths in the isospin I=0 and I=2 states, a0 and a2, respectively, has been recently reported. In the present work the Dalitz plot of this decay is fitted to a new empirical parameterization suitable for practical purposes, such as Monte Carlo simulations of K+- -> pi+- pi0 pi0 decays.
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