CERN Accelerating science

Article
Report number CERN-PH-EP-2007-035
Title New high statistics measurement of $K_{e4}$ decay form factors and $\pi\pi$ scattering phase shifts
Author(s)

Batley, J Richard ; Culling, A J ; Kalmus, George Ernest ; Lazzeroni, C ; Munday, D J ; Slater, M W ; Wotton, S A ; Arcidiacono, R (CERN) ; Bocquet, G (CERN) ; Cabibbo, Nicola (CERN) ; Ceccucci, A (CERN) ; Cundy, Donald C (CERN) ; Falaleev, V (CERN) ; Fidecaro, Maria (CERN) ; Gatignon, L (CERN) ; Gonidec, A (CERN) ; Kubischta, Werner (CERN) ; Norton, A (CERN) ; Maier, A (CERN) ; Patel, M (CERN) ; Peters, A (CERN) ; Balev, S ; Frabetti, P L ; Goudzovski, E ; Khristov, P Z ; Kekelidze, V ; Kozhuharov, V ; Litov, L ; Madigozhin, D T ; Marinova, E ; Molokanova, N ; Polenkevich, I ; Potrebenikov, Yu ; Stoynev, S ; Zinchenko, A ; Monnier, E ; Swallow, E ; Winston, R ; Rubin, P ; Walker, A ; Baldini, W ; Cotta-Ramusino, A ; Dalpiaz, P ; Damiani, C ; Fiorini, M ; Gianoli, A ; Martini, M ; Petrucci, F ; Savrié, M ; Scarpa, M ; Wahle, H ; Bizzeti, A ; Calvetti, M ; Celeghini, E ; Iacopini, E ; Lenti, M ; Martelli, F ; Ruggiero, G ; Veltri, M ; Behler, M ; Eppard, K ; Kleinknecht, K ; Marouelli, P ; Masetti, L ; Moosbrugger, U ; Morales-Morales, C ; Renk, B ; Wache, M ; Wanke, R ; Winhart, A ; Coward, D ; Dabrowski, A ; Fonseca-Martin, T ; Shieh, M ; Szleper, M ; Velasco, M ; Wood, M D ; Anzivino, Giuseppina ; Cenci, P ; Imbergamo, E ; Nappi, A ; Pepé, M ; Petrucci, M C ; Piccini, M ; Raggi, M ; Valdata-Nappi, M ; Cerri, C ; Collazuol, G ; Costantini, F ; Di Lella, L ; Doble, N ; Fantechi, R ; Fiorini, L ; Giudici, S ; Lamanna, G ; Mannelli, I ; Michetti, A ; Pierazzini, G ; Sozzi, M ; Bloch-Devaux, B ; Cheshkov, C ; Chèze, J B ; De Beer, M ; Derré, J ; Marel, Gérard ; Mazzucato, E ; Peyaud, B ; Vallage, B ; Holder, M ; Ziolkowski, M ; Bifani, S ; Biino, C ; Cartiglia, N ; Clemencic, M ; Goy-Lopez, S ; Marchetto, F ; Dibon, Heinz ; Jeitler, Manfred ; Markytan, Manfred ; Mikulec, I ; Neuhofer, G ; Widhalm, L

Affiliation (Department of Physics and Astronomy Northwestern University, Evanston Illinois, USA) ; (Cavendish Laboratory University of Cambridge Cambridge, UK) ; (Joint Institute for Nuclear Research Dubna Russian Federation) ; (The Enrico Fermi Institute The Universityof Chicago Chicago Illinois, USA) ; (Department of Physics and Astronomy University of Edinburgh, JCMB King's Buildings, Mayfield Road, Edinburgh, UK) ; (Dipartimento di Fisica dell' Universita e Sezione dell' INFN di Ferrara, Ferrara, Italy) ; (Dipartimento di Fisica dell' Universita e Sezione dell'INFN di Firenze, Firenze, Italy) ; (Institut fur Physik Universitat Mainz, Mainz, Germany) ; (Dipartimento di Fisica dell' Universita e Sezione dell'INFN di Perugia, Perugia, Italy) ; (Dipartimento di Fisica dell' Universita, Scuola Normale Superiore e Sezione dell'INFN di Pisa, Pisa, Italy) ; (DSM/DAPNIA-CEA Saclay, Gif-sur-Yvette, France) ; (Fachbereich Physik Universitat Siegen, Siegen, Germany) ; (Dipartimento di Fisica Sperimentale dell' Universita e Sezione dell' INFN di Torino, Torino, Italy) ; (Osterreichische Akademie der Wissenschaften, Institut fur Hochenergiephysik, Wien, Austria)
Publication 2008
Imprint 19 Oct 2007
Number of pages 24
Note This measurement is dedicated to the memory of René Turlay (1932-2002)
revised version submitted on 2008-01-30 14:30:13
In: Eur. Phys. J. C 54 (2008) 411-423
DOI 10.1140/epjc/s10052-008-0547-0
Subject category Particle Physics - Experiment
Accelerator/Facility, Experiment CERN SPS ; NA48/2
Abstract We report results from a new measurement of the $K_{e4}$ decay $K^{\pm} \rightarrow \pi^{+}\pi^{-}e^{\pm}\nu$ by the NA48/2 collaboration at the CERN SPS, based on a partial sample of more than 670000 $K_{e4}$ decays in both charged modes collected in 2003. The form factors of the hadronic current (F, G, H) and $\pi\pi$ phase difference ($\delta=\delta_{s}-\delta_{p}$) have been measured in ten independent bins of the $\pi\pi$ mass spectrum to investigate the variation. A sizeable acceptance at large $\pi\pi$ 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 $\pi\pi$ scattering lengths $a^{0}_{0}$ and $a^{2}_{0}$. Under the assumption of isospin symmetry and using numerical solutions of the Roy equations, the following values are obtained in the plane ($a^{0}_{0}, a^{2}_{0}): a^{0}_{0}=0.233 \pm 0.016_{stat} \pm 0.007_{syst}, a^{2}_{0}=-0.0471 \pm 0.011_{stat} \pm 0.004_{syst}$. The presence of potentially large isospin effects is also considered and will allow comparison with precise predictions from Chiral Perturbation Theory.

Corresponding record in: Inspire
Email contact: [email protected]


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