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Abstract
We report results from a new measurement of the Ke4 decay K±→π+π-e±ν by the NA48/2 collaboration at the CERN SPS, based on a partial sample of more than 670 000 Ke4 decays in both charged modes collected in 2003. The form factors of the hadronic current (F,G,H) and ππ phase difference (δ=δs-δp) have been measured in ten independent bins of the ππ mass spectrum to investigate their variation. A sizeable acceptance at large ππ mass, a low background and a very good resolution contribute to an improved experimental accuracy, a factor two better than in the previous measurement, when extracting the ππ scattering lengths a00 and a02. Under the assumption of isospin symmetry and using numerical solutions of the Roy equations, the following values are obtained in the plane (a00,a02): a00=0.233±0.016stat±0.007syst,a02=-0.0471±0.011stat±0.004syst. The presence of potentially large isospin effects is also considered and will allow comparison with precise predictions from Chiral Perturbation Theory.
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1 Cavendish Laboratory, University of Cambridge, Cambridge, UK
2 Cavendish Laboratory, University of Cambridge, Cambridge, UK; University of Birmingham, Birmingham, UK
3 CERN, Genève 23, Switzerland; Dipartimento di Fisica Sperimentale, Università e Sezione dell’INFN di Torino, Torino, Italy
4 CERN, Genève 23, Switzerland
5 CERN, Genève 23, Switzerland; Università di Roma “La Sapienza” e Sezzione dell’INFN di Roma, Roma, Italy
6 CERN, Genève 23, Switzerland; Istituto di Cosmogeofisica del CNR di Torino, Torino, Italy
7 CERN, Genève 23, Switzerland; Dipartimento di Fisica, Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
8 Joint Institute for Nuclear Research, Dubna, Russian Federation
9 Joint Institute for Nuclear Research, Dubna, Russian Federation; Scuola Normale Superiore and INFN, Pisa, Italy
10 Joint Institute for Nuclear Research, Dubna, Russian Federation; CERN, Genève 23, Switzerland
11 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA; Centre de Physique des Particules de Marseille, IN2P3-CNRS, Université de la Méditerranée, Marseille, France
12 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
13 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK; Department of Physics and Astronomy, George Mason University, Fairfax, VA, USA
14 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
15 Dipartimento di Fisica, Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
16 Dipartimento di Fisica, Università e Sezione dell’INFN di Firenze, Firenze, Italy; Istituto di Fisica, Università di Modena, Modena, Italy
17 Dipartimento di Fisica, Università e Sezione dell’INFN di Firenze, Firenze, Italy
18 Dipartimento di Fisica, Università e Sezione dell’INFN di Firenze, Firenze, Italy; Istituto di Fisica, Università di Urbino, Urbino, Italy
19 Dipartimento di Fisica, Università e Sezione dell’INFN di Firenze, Firenze, Italy; Scuola Normale Superiore and INFN, Pisa, Italy
20 Institut für Physik, Universität Mainz, Mainz, Germany
21 Institut für Physik, Universität Mainz, Mainz, Germany; Physikalisches Institut, Universität Bonn, Bonn, Germany
22 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; SLAC, Stanford University, Menlo Park, CA, USA
23 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA
24 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; CERN, Genève 23, Switzerland
25 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; UCLA, Los Angeles, CA, USA
26 Dipartimento di Fisica, Università e Sezione dell’INFN di Perugia, Perugia, Italy
27 Dipartimento di Fisica, Università, Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy
28 DSM/DAPNIA – CEA Saclay, Gif-sur-Yvette, France
29 DSM/DAPNIA – CEA Saclay, Gif-sur-Yvette, France; CERN, Genève 23, Switzerland
30 Fachbereich Physik, Universität Siegen, Siegen, Germany
31 Dipartimento di Fisica Sperimentale, Università e Sezione dell’INFN di Torino, Torino, Italy
32 Dipartimento di Fisica Sperimentale, Università e Sezione dell’INFN di Torino, Torino, Italy; CERN, Genève 23, Switzerland
33 Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften, Wien, Austria





