Content area
Abstract
We report results from the analysis of the () 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 and , the I = 0 and I = 2 S-wave ππ scattering lengths: . Combination of this result with the other NA48/2 measurement obtained in the study of decays brings an improved determination of and the first precise experimental measurement of , 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: and .
Details
Title
Precise tests of low energy QCD from decay properties
Author
Batley, J R 1 ; Kalmus, G 1 ; Lazzeroni, C 2 ; Munday, D J 1 ; Slater, M W 2 ; Wotton, S A 1 ; Arcidiacono, R 3 ; Bocquet, G 4 ; Cabibbo, N 5 ; Ceccucci, A 4 ; Cundy, D 6 ; Falaleev, V 4 ; Fidecaro, M 4 ; Gatignon, L 4 ; Gonidec, A 4 ; Kubischta, W 4 ; Norton, A 7 ; Maier, A 4 ; Patel, M 8 ; Peters, A 4 ; Balev, S 9 ; Frabetti, P L 10 ; Goudzovski, E 11 ; Hristov, P 9 ; Kekelidze, V 10 ; Kozhuharov, V 12 ; Litov, L 12 ; Madigozhin, D 10 ; Marinova, E 13 ; Molokanova, N 10 ; Polenkevich, I 10 ; Yu Potrebenikov 10 ; Stoynev, S 14 ; Zinchenko, A 10 ; Monnier, E 15 ; Swallow, E 16 ; Winston, R 16 ; Rubin, P 17 ; Walker, A 18 ; Baldini, W 19 ; A Cotta Ramusino 19 ; Dalpiaz, P 19 ; Damiani, C 19 ; Fiorini, M 7 ; Gianoli, A 19 ; Martini, M 19 ; Petrucci, F 19 ; Savrié, M 19 ; Scarpa, M 19 ; Wahl, H 19 ; Bizzeti, A 20 ; Lenti, M 21 ; Veltri, M 22 ; Calvetti, M 23 ; Celeghini, E 23 ; Iacopini, E 23 ; Ruggiero, G 24 ; Behler, M 25 ; Eppard, K 25 ; Kleinknecht, K 25 ; Marouelli, P 25 ; Masetti, L 25 ; Moosbrugger, U 25 ; C Morales Morales 25 ; Renk, B 25 ; Wache, M 25 ; Wanke, R 25 ; Winhart, A 25 ; Coward, D 26 ; Dabrowski, A 27 ; T Fonseca Martin 28 ; Shieh, M 29 ; Szleper, M 29 ; Velasco, M 29 ; Wood, M D 30 ; Cenci, P 31 ; Pepe, M 31 ; Petrucci, M C 31 ; Anzivino, G 32 ; Imbergamo, E 32 ; Nappi, A 32 ; Piccini, M 32 ; Raggi, M 33 ; Valdata-Nappi, M 32 ; Cerri, C 34 ; Fantechi, R 34 ; Collazuol, G 35 ; DiLella, L 35 ; Lamanna, G 36 ; Mannelli, I 35 ; Michetti, A 35 ; Costantini, F 37 ; Doble, N 37 ; Fiorini, L 38 ; Giudici, S 37 ; Pierazzini, G 37 ; Sozzi, M 37 ; Venditti, S 37 ; Bloch-Devaux, B 39 ; Cheshkov, C 40 ; Chèze, J B 41 ; De Beer, M 41 ; Derré, J 41 ; Marel, G 41 ; Mazzucato, E 41 ; Peyaud, B 41 ; Vallage, B 41 ; Holder, M 42 ; Ziolkowski, M 42 ; Biino, C 43 ; Cartiglia, N 43 ; Marchetto, F 43 ; Bifani, S 44 ; Clemencic, M 3 ; S Goy Lopez 45 ; Dibon, H 46 ; Jeitler, M 46 ; Markytan, M 46 ; Mikulec, I 46 ; Neuhofer, G 46 ; Widhalm, L 46
1 Cavendish Laboratory, University of Cambridge, Cambridge, UK
2 Cavendish Laboratory, University of Cambridge, Cambridge, UK; University of Birmingham, Birmingham, UK
3 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; CERN, Genève 23, Switzerland
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 dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
8 CERN, Genève 23, Switzerland; Department of Physics, Imperial College, London, UK
9 CERN, Genève 23, Switzerland; Joint Institute for Nuclear Research, Dubna, Russian Federation
10 Joint Institute for Nuclear Research, Dubna, Russian Federation
11 University of Birmingham, Birmingham, UK; Joint Institute for Nuclear Research, Dubna, Russian Federation
12 Faculty of Physics, University of Sofia “St. Kl. Ohridski”, Sofia, Bulgaria; Joint Institute for Nuclear Research, Dubna, Russian Federation
13 Sezione dell’INFN di Perugia, Perugia, Italy; Joint Institute for Nuclear Research, Dubna, Russian Federation
14 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; Joint Institute for Nuclear Research, Dubna, Russian Federation
15 Centre de Physique des Particules de Marseille, IN2P3-CNRS, Université de la Méditerranée, Marseille, France; The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
16 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
17 Department of Physics and Astronomy, George Mason University, Fairfax, VA, USA; Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
18 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
19 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
20 Dipartimento di Fisica, Università di Modena e Reggio Emilia, Modena, Italy; Sezione dell’INFN di Firenze, Firenze, Italy
21 Sezione dell’INFN di Firenze, Firenze, Italy
22 Istituto di Fisica, Università di Urbino, Urbino, Italy; Sezione dell’INFN di Firenze, Firenze, Italy
23 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Firenze, Italy
24 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy; Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Firenze, Italy
25 Institut für Physik, Universität Mainz, Mainz, Germany
26 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; SLAC, Stanford University, Menlo Park, CA, USA
27 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; CERN, Genève 23, Switzerland
28 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; Laboratory for High Energy Physics, Bern, Switzerland
29 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA
30 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; UCLA, Los Angeles, CA, USA
31 Sezione dell’INFN di Perugia, Perugia, Italy
32 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Perugia, Perugia, Italy
33 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Perugia, Perugia, Italy; Laboratori Nazionali di Frascati, Frascati (Rome), Italy
34 Sezione dell’INFN di Pisa, Pisa, Italy
35 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy
36 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy; CERN, Genève 23, Switzerland
37 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Pisa, Pisa, Italy
38 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Pisa, Pisa, Italy; Institut de Física d’Altes Energies, UAB, Bellaterra (Barcelona), Spain
39 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France; Dipartimento di Fisica Sperimentale dell’Università di Torino, Torino, Italy
40 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France; Institut de Physique Nucléaire de Lyon, IN2P3-CNRS, Université Lyon I, Villeurbanne, France
41 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France
42 Fachbereich Physik, Universität Siegen, Siegen, Germany
43 Sezione dell’INFN di Torino, Torino, Italy
44 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; University College Dublin School of Physics, Dublin 4, Ireland
45 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; Centro de Investigaciones Energeticas Medioambientales y Tecnologicas, Madrid, Spain
46 Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften, Wien, Austria
1 Cavendish Laboratory, University of Cambridge, Cambridge, UK
2 Cavendish Laboratory, University of Cambridge, Cambridge, UK; University of Birmingham, Birmingham, UK
3 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; CERN, Genève 23, Switzerland
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 dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
8 CERN, Genève 23, Switzerland; Department of Physics, Imperial College, London, UK
9 CERN, Genève 23, Switzerland; Joint Institute for Nuclear Research, Dubna, Russian Federation
10 Joint Institute for Nuclear Research, Dubna, Russian Federation
11 University of Birmingham, Birmingham, UK; Joint Institute for Nuclear Research, Dubna, Russian Federation
12 Faculty of Physics, University of Sofia “St. Kl. Ohridski”, Sofia, Bulgaria; Joint Institute for Nuclear Research, Dubna, Russian Federation
13 Sezione dell’INFN di Perugia, Perugia, Italy; Joint Institute for Nuclear Research, Dubna, Russian Federation
14 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; Joint Institute for Nuclear Research, Dubna, Russian Federation
15 Centre de Physique des Particules de Marseille, IN2P3-CNRS, Université de la Méditerranée, Marseille, France; The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
16 The Enrico Fermi Institute, The University of Chicago, Chicago, IL, USA
17 Department of Physics and Astronomy, George Mason University, Fairfax, VA, USA; Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
18 Department of Physics and Astronomy, University of Edinburgh, Edinburgh, UK
19 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Ferrara, Ferrara, Italy
20 Dipartimento di Fisica, Università di Modena e Reggio Emilia, Modena, Italy; Sezione dell’INFN di Firenze, Firenze, Italy
21 Sezione dell’INFN di Firenze, Firenze, Italy
22 Istituto di Fisica, Università di Urbino, Urbino, Italy; Sezione dell’INFN di Firenze, Firenze, Italy
23 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Firenze, Italy
24 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy; Dipartimento di Fisica dell’Università e Sezione dell’INFN di Firenze, Firenze, Italy
25 Institut für Physik, Universität Mainz, Mainz, Germany
26 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; SLAC, Stanford University, Menlo Park, CA, USA
27 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; CERN, Genève 23, Switzerland
28 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; Laboratory for High Energy Physics, Bern, Switzerland
29 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA
30 Department of Physics and Astronomy, Northwestern University, Evanston, IL, USA; UCLA, Los Angeles, CA, USA
31 Sezione dell’INFN di Perugia, Perugia, Italy
32 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Perugia, Perugia, Italy
33 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Perugia, Perugia, Italy; Laboratori Nazionali di Frascati, Frascati (Rome), Italy
34 Sezione dell’INFN di Pisa, Pisa, Italy
35 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy
36 Scuola Normale Superiore e Sezione dell’INFN di Pisa, Pisa, Italy; CERN, Genève 23, Switzerland
37 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Pisa, Pisa, Italy
38 Dipartimento di Fisica dell’Università e Sezione dell’INFN di Pisa, Pisa, Italy; Institut de Física d’Altes Energies, UAB, Bellaterra (Barcelona), Spain
39 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France; Dipartimento di Fisica Sperimentale dell’Università di Torino, Torino, Italy
40 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France; Institut de Physique Nucléaire de Lyon, IN2P3-CNRS, Université Lyon I, Villeurbanne, France
41 DSM/IRFU - CEA Saclay, Gif-sur-Yvette, France
42 Fachbereich Physik, Universität Siegen, Siegen, Germany
43 Sezione dell’INFN di Torino, Torino, Italy
44 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; University College Dublin School of Physics, Dublin 4, Ireland
45 Dipartimento di Fisica Sperimentale dell’Università e Sezione dell’INFN di Torino, Torino, Italy; Centro de Investigaciones Energeticas Medioambientales y Tecnologicas, Madrid, Spain
46 Institut für Hochenergiephysik, Österreichische Akademie der Wissenschaften, Wien, Austria
Pages
635-657
Publication year
2010
Publication date
Dec 2010
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2294081828
Copyright
The European Physical Journal C is a copyright of Springer, (2010). All Rights Reserved.