Precise tests of low energy QCD from Ke4 decay properties

J. R. Batley, 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. PetersS. Balev, P. L. Frabetti, E. Goudzovski, P. Hristov, V. Kekelidze, V. Kozhuharov, L. Litov, D. Madigozhin, E. Marinova, N. Molokanova, I. Polenkevich, Yu Potrebenikov, S. Stoynev, A. Zinchenko, E. Monnier, E. Swallow, R. Winston, P. Rubin, A. Walker, W. Baldini, A. Cotta Ramusino, P. Dalpiaz, C. Damiani, M. Fiorini, A. Gianoli, M. Martini, F. Petrucci, M. Savrié, M. Scarpa, H. Wahl, A. Bizzeti, M. Lenti, M. Veltri, M. Calvetti, E. Celeghini, E. Iacopini, G. Ruggiero, M. Behler, K. Eppard, K. Kleinknecht, P. Marouelli, L. Masetti, U. Moosbrugger, C. Morales Morales, B. Renk, M. Wache, R. Wanke, A. Winhart, D. Coward, A. Dabrowski, T. Fonseca Martin, M. Shieh, M. Szleper, Mayda Velasco, M. D. Wood, P. Cenci, M. Pepe, M. C. Petrucci, G. Anzivino, E. Imbergamo, A. Nappi, M. Piccini, M. Raggi, M. Valdata-Nappi, C. Cerri, R. Fantechi, G. Collazuol, L. DiLella, G. Lamanna, I. Mannelli, A. Michetti, F. Costantini, N. Doble, L. Fiorini, S. Giudici, G. Pierazzini, M. Sozzi, S. Venditti, B. Bloch-Devaux*, C. Cheshkov, J. B. Chèze, M. de Beer, J. Derré, G. Marel, E. Mazzucato, B. Peyaud, B. Vallage, M. Holder, M. Ziolkowski, C. Biino, N. Cartiglia, F. Marchetto, S. Bifani, M. Clemencic, S. Goy Lopez, H. Dibon, M. Jeitler, M. Markytan, I. Mikulec, G. Neuhofer, L. Widhalm

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

134 Scopus citations

Abstract

We report results from the analysis of the K± → Π+Π-e±v (Ke4)decay by the NA48/2 collaboration at the CERN SPS, based on the total statistics of 1.13 million decays collected in 2003-2004. The hadronic form factors in the S- and P-wave and their variation with energy are obtained. The phase difference between the S- and P-wave states of the ππ system is accurately measured and allows a precise determination of a00 and a02, the I = 0 and I = 2 S-wave ππ scattering lengths: a00 = 0.2220 ± 0.0128 stat ± 0.0050stat ± 0.0037 th, a02 = -0.0432 ± 0.0086stat ± 0.0034syst ± 0.0028th. Combination of this result with the other NA48/2 measurement obtained in the study of K± → Π0Π0π± decays brings an improved determination of a00 and the first precise experimental measurement of a02, providing a stringent test of Chiral Perturbation Theory predictions and lattice QCD calculations. Using constraints based on analyticity and chiral symmetry, even more precise values are obtained: a00 = 0.2196 ± 0.0028 stat ± 0.0020stat and a02 = -0.0444 ± 0.0007stat ± 0.0005syst ± 0.0008chPT.

Original languageEnglish (US)
Pages (from-to)635-657
Number of pages23
JournalEuropean Physical Journal C
Volume70
Issue number3
DOIs
StatePublished - Dec 2010

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Physics and Astronomy (miscellaneous)

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