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. Peters; S. 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

doi:10.1140/epjc/s10052-010-1480-6

Precise tests of low energy QCD from K_e4 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

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Physics and Astronomy

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Abstract

We report results from the analysis of the K^± → Π⁺Π^-e^±v (K_e4)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 ± 0.0050_stat ± 0.0037 _th, a₀² = -0.0432 ± 0.0086_stat ± 0.0034_syst ± 0.0028_th. 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 ± 0.0020_stat and a₀² = -0.0444 ± 0.0007_stat ± 0.0005_syst ± 0.0008_chPT.

Original language	English (US)
Pages (from-to)	635-657
Number of pages	23
Journal	European Physical Journal C
Volume	70
Issue number	3
DOIs	https://doi.org/10.1140/epjc/s10052-010-1480-6
State	Published - Dec 2010

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Engineering (miscellaneous)
Physics and Astronomy (miscellaneous)

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Batley, J. R., Kalmus, G., Lazzeroni, C., Munday, D. J., Slater, M. W., Wotton, S. A., Arcidiacono, R., Bocquet, G., Cabibbo, N., Ceccucci, A., Cundy, D., Falaleev, V., Fidecaro, M., Gatignon, L., Gonidec, A., Kubischta, W., Norton, A., Maier, A., Patel, M., ... Widhalm, L. (2010). Precise tests of low energy QCD from K_e4 decay properties. European Physical Journal C, 70(3), 635-657. https://doi.org/10.1140/epjc/s10052-010-1480-6

@article{8c4bfb97e57f4a5793d9be3feb565de4,

title = "Precise tests of low energy QCD from Ke4 decay properties",

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.",

author = "Batley, {J. R.} and G. Kalmus and C. Lazzeroni and Munday, {D. J.} and Slater, {M. W.} and Wotton, {S. A.} and R. Arcidiacono and G. Bocquet and N. Cabibbo and A. Ceccucci and D. Cundy and V. Falaleev and M. Fidecaro and L. Gatignon and A. Gonidec and W. Kubischta and A. Norton and A. Maier and M. Patel and A. Peters and S. Balev and Frabetti, {P. L.} and E. Goudzovski and P. Hristov and V. Kekelidze and V. Kozhuharov and L. Litov and D. Madigozhin and E. Marinova and N. Molokanova and I. Polenkevich and Yu Potrebenikov and S. Stoynev and A. Zinchenko and E. Monnier and E. Swallow and R. Winston and P. Rubin and A. Walker and W. Baldini and Ramusino, {A. Cotta} and P. Dalpiaz and C. Damiani and M. Fiorini and A. Gianoli and M. Martini and F. Petrucci and M. Savri{\'e} and M. Scarpa and H. Wahl and A. Bizzeti and M. Lenti and M. Veltri and M. Calvetti and E. Celeghini and E. Iacopini and G. Ruggiero and M. Behler and K. Eppard and K. Kleinknecht and P. Marouelli and L. Masetti and U. Moosbrugger and Morales, {C. Morales} and B. Renk and M. Wache and R. Wanke and A. Winhart and D. Coward and A. Dabrowski and Martin, {T. Fonseca} and M. Shieh and M. Szleper and Mayda Velasco and Wood, {M. D.} and P. Cenci and M. Pepe and Petrucci, {M. C.} and G. Anzivino and E. Imbergamo and A. Nappi and M. Piccini and M. Raggi and M. Valdata-Nappi and C. Cerri and R. Fantechi and G. Collazuol and L. DiLella and G. Lamanna and I. Mannelli and A. Michetti and F. Costantini and N. Doble and L. Fiorini and S. Giudici and G. Pierazzini and M. Sozzi and S. Venditti and B. Bloch-Devaux and C. Cheshkov and Ch{\`e}ze, {J. B.} and {de Beer}, M. and J. Derr{\'e} and G. Marel and E. Mazzucato and B. Peyaud and B. Vallage and M. Holder and M. Ziolkowski and C. Biino and N. Cartiglia and F. Marchetto and S. Bifani and M. Clemencic and Lopez, {S. Goy} and H. Dibon and M. Jeitler and M. Markytan and I. Mikulec and G. Neuhofer and L. Widhalm",

year = "2010",

month = dec,

doi = "10.1140/epjc/s10052-010-1480-6",

language = "English (US)",

volume = "70",

pages = "635--657",

journal = "European Physical Journal C",

issn = "1434-6044",

publisher = "Springer Nature",

number = "3",

}

Batley, JR, Kalmus, G, Lazzeroni, C, Munday, DJ, Slater, MW, Wotton, SA, Arcidiacono, R, Bocquet, G, Cabibbo, N, Ceccucci, A, Cundy, D, Falaleev, V, Fidecaro, M, Gatignon, L, Gonidec, A, Kubischta, W, Norton, A, Maier, A, Patel, M, Peters, A, Balev, S, Frabetti, PL, Goudzovski, E, Hristov, P, Kekelidze, V, Kozhuharov, V, Litov, L, Madigozhin, D, Marinova, E, Molokanova, N, Polenkevich, I, Potrebenikov, Y, Stoynev, S, Zinchenko, A, Monnier, E, Swallow, E, Winston, R, Rubin, P, Walker, A, Baldini, W, Ramusino, AC, Dalpiaz, P, Damiani, C, Fiorini, M, Gianoli, A, Martini, M, Petrucci, F, Savrié, M, Scarpa, M, Wahl, H, Bizzeti, A, Lenti, M, Veltri, M, Calvetti, M, Celeghini, E, Iacopini, E, Ruggiero, G, Behler, M, Eppard, K, Kleinknecht, K, Marouelli, P, Masetti, L, Moosbrugger, U, Morales, CM, Renk, B, Wache, M, Wanke, R, Winhart, A, Coward, D, Dabrowski, A, Martin, TF, Shieh, M, Szleper, M, Velasco, M, Wood, MD, Cenci, P, Pepe, M, Petrucci, MC, Anzivino, G, Imbergamo, E, Nappi, A, Piccini, M, Raggi, M, Valdata-Nappi, M, Cerri, C, Fantechi, R, Collazuol, G, DiLella, L, Lamanna, G, Mannelli, I, Michetti, A, Costantini, F, Doble, N, Fiorini, L, Giudici, S, Pierazzini, G, Sozzi, M, Venditti, S, Bloch-Devaux, B, Cheshkov, C, Chèze, JB, de Beer, M, Derré, J, Marel, G, Mazzucato, E, Peyaud, B, Vallage, B, Holder, M, Ziolkowski, M, Biino, C, Cartiglia, N, Marchetto, F, Bifani, S, Clemencic, M, Lopez, SG, Dibon, H, Jeitler, M, Markytan, M, Mikulec, I, Neuhofer, G & Widhalm, L 2010, 'Precise tests of low energy QCD from K_e4 decay properties', European Physical Journal C, vol. 70, no. 3, pp. 635-657. https://doi.org/10.1140/epjc/s10052-010-1480-6

TY - JOUR

T1 - Precise tests of low energy QCD from Ke4 decay properties

AU - Batley, J. R.

AU - Kalmus, G.

AU - Lazzeroni, C.

AU - Munday, D. J.

AU - Slater, M. W.

AU - Wotton, S. A.

AU - Arcidiacono, R.

AU - Bocquet, G.

AU - Cabibbo, N.

AU - Ceccucci, A.

AU - Cundy, D.

AU - Falaleev, V.

AU - Fidecaro, M.

AU - Gatignon, L.

AU - Gonidec, A.

AU - Kubischta, W.

AU - Norton, A.

AU - Maier, A.

AU - Patel, M.

AU - Peters, A.

AU - Balev, S.

AU - Frabetti, P. L.

AU - Goudzovski, E.

AU - Hristov, P.

AU - Kekelidze, V.

AU - Kozhuharov, V.

AU - Litov, L.

AU - Madigozhin, D.

AU - Marinova, E.

AU - Molokanova, N.

AU - Polenkevich, I.

AU - Potrebenikov, Yu

AU - Stoynev, S.

AU - Zinchenko, A.

AU - Monnier, E.

AU - Swallow, E.

AU - Winston, R.

AU - Rubin, P.

AU - Walker, A.

AU - Baldini, W.

AU - Ramusino, A. Cotta

AU - Dalpiaz, P.

AU - Damiani, C.

AU - Fiorini, M.

AU - Gianoli, A.

AU - Martini, M.

AU - Petrucci, F.

AU - Savrié, M.

AU - Scarpa, M.

AU - Wahl, H.

AU - Bizzeti, A.

AU - Lenti, M.

AU - Veltri, M.

AU - Calvetti, M.

AU - Celeghini, E.

AU - Iacopini, E.

AU - Ruggiero, G.

AU - Behler, M.

AU - Eppard, K.

AU - Kleinknecht, K.

AU - Marouelli, P.

AU - Masetti, L.

AU - Moosbrugger, U.

AU - Morales, C. Morales

AU - Renk, B.

AU - Wache, M.

AU - Wanke, R.

AU - Winhart, A.

AU - Coward, D.

AU - Dabrowski, A.

AU - Martin, T. Fonseca

AU - Shieh, M.

AU - Szleper, M.

AU - Velasco, Mayda

AU - Wood, M. D.

AU - Cenci, P.

AU - Pepe, M.

AU - Petrucci, M. C.

AU - Anzivino, G.

AU - Imbergamo, E.

AU - Nappi, A.

AU - Piccini, M.

AU - Raggi, M.

AU - Valdata-Nappi, M.

AU - Cerri, C.

AU - Fantechi, R.

AU - Collazuol, G.

AU - DiLella, L.

AU - Lamanna, G.

AU - Mannelli, I.

AU - Michetti, A.

AU - Costantini, F.

AU - Doble, N.

AU - Fiorini, L.

AU - Giudici, S.

AU - Pierazzini, G.

AU - Sozzi, M.

AU - Venditti, S.

AU - Bloch-Devaux, B.

AU - Cheshkov, C.

AU - Chèze, J. B.

AU - de Beer, M.

AU - Derré, J.

AU - Marel, G.

AU - Mazzucato, E.

AU - Peyaud, B.

AU - Vallage, B.

AU - Holder, M.

AU - Ziolkowski, M.

AU - Biino, C.

AU - Cartiglia, N.

AU - Marchetto, F.

AU - Bifani, S.

AU - Clemencic, M.

AU - Lopez, S. Goy

AU - Dibon, H.

AU - Jeitler, M.

AU - Markytan, M.

AU - Mikulec, I.

AU - Neuhofer, G.

AU - Widhalm, L.

PY - 2010/12

Y1 - 2010/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78651445330&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651445330&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-010-1480-6

DO - 10.1140/epjc/s10052-010-1480-6

M3 - Article

AN - SCOPUS:78651445330

SN - 1434-6044

VL - 70

SP - 635

EP - 657

JO - European Physical Journal C

JF - European Physical Journal C

IS - 3

ER -

Precise tests of low energy QCD from K_e4 decay properties

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