Home > New high statistics measurement of $K_{e4}$ decay form factors and $\pi\pi$ scattering phase shifts |
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. |