RT Book, Section
T1 Consistency checks of pion-pion scattering data and chiral dispersive calculations
A1 Peláez Sagredo, José Ramón
A1 Ynduráin, F.J.
AB We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of ππ scattering experiments, together with the precise K decay results, and high to energy data. We find that some of the most commonly used experimental sets, as well as some recent theoretical analyses based on Roy equations, do not satisfy these constraints by several standard deviations. Finally, we provide a consistent ππ amplitude by improving a global fit to data with these dispersion relations.
PB Amer Inst Physics
SN 0-7354-0241-8
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/53486
UL https://hdl.handle.net/20.500.14352/53486
LA eng
NO 1. Ananthanarayan, B., Colangelo, G., Gasser, J., and Leutwyler, H., Phys. Rep., 353, 207, (2001). 2. Colangelo, G., Gasser, J., and Leutwyler, H., Nucl. Phys. B603, 125, (2001). 3. Peláez, J. R., and Ynduráin, F. J., Phys. Rev. D68, 074005 (2003). 4. Peláez, J. R., and Ynduráin, F. J., Phys. Rev. D69, 114001 (2004). 5. Peláez, J. R., and Ynduráin, F. J., FTUAM 04-14 hep-ph/0411334. 6. de Trocóniz, J. F., and Ynduráin, F. J., Phys. Rev., D65, 093001, (2002) and hep-ph/0402285. When quoting numbers, we will quote from this last paper. 7. Losty, M. J., et al. Nucl. Phys., B69, 185 (1974); Hoogland, W., et al. Nucl. Phys., B126, 109 (1977); Cohen, D. et al., Phys. Rev. D7, 661 (1973); Durusoy, N. B., et al., Phys. Lett. B45, 517 (19730. 8. Rosselet, L., et al. Phys. Rev. D15, 574 (1977); Pislak, S., et al. Phys. Rev. Lett., 87, 221801 (2001). 9. Protopopescu, S. D., et al., Phys Rev. D7, 1279, (1973). 10. Cern-Munich experiment: Hyams, B., et al., Nucl. Phys. B64, 134, (1973); Grayer, G., et al., Nucl. Phys. B75, 189, (1974). See also the analysis of the same data in Estabrooks, P., and Martin, A. D., Nucl. Physics, B79, 301, (1974); Kaminski, R., Lesniak, L, and Rybicki, K., ´ Z. Phys. C74, 79 (1997) and Eur. Phys. J. direct C4, 4 (2002); Au, K. L., Morgan, D., and Pennington, M. R. Phys. Rev. D35, 1633 (1987). 11. Palou, F. P., and Ynduráin, F. J., Nuovo Cimento, 19A, 245, (1974); Palou, F. P., Sánchez-Gómez, J. L., and Ynduráin, F. J., Z. Phys., A274, 161, (1975). 12. Pennington, M. R., Ann. Phys. (N.Y.), 92, 164, (1975). 13. Biswas, N. N., et al., Phys. Rev. Letters, 18, 273 (1967) [π  ̅ π  ̅ , π^(+) π  ̅  and  π^(0)π  ̅ ]; Cohen, D. et al., Phys. Rev. D7, 661 (1973) [π  ̅ π  ̅ ]; Robertson, W. J., Walker, W. D., and Davis, J. L., Phys. Rev. D7, 2554 (1973) [π^(+) π  ̅ ]; Hoogland, W., et al. Nucl. Phys., B126, 109 (1977) [π  ̅ π  ̅ ]; Hanlon, J., et al, Phys. Rev. Letters, 37, 967 (1976) [π^(+) π  ̅ ]; Abramowicz, H., et al. Nucl. Phys., B166, 62 (1980) [π^(+) π  ̅]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π  ̅ π  ̅  below 2.3 GeV, discussion in [5]). 14. Peláez, J. R. Proceedings of MESON 2004, Cracow, Poland, 4-8 Jun 2004. arXiv:hep-ph/0407213. 15. Martin, B. R., Morgan, D., and and Shaw, G. Pion-Pion Interactions in Particle Physics, Academic Press, New York (1976). 16. Descotes, S. et al., Eur. Phys. J. C, 24, 469, (2002); Kamiński, R., Lésniak, L., and Loiseau, B. Phys. Letters, B551, 241 (2003). 17. Caprini, I., Colangelo, G., Gasser, J., and Leutwyler, H. Phys. Rev.D68,074006 (2003)
NO ©2005 American Institute of Physics.ISSN: 0094-243XConference on Quark Confinement and the Hadron Spectrum (6. 2004. Helsinki, Finlandia).F.J. Ynduráin is grateful to the organizing committee for the opprtunity to talk at the meeting and for financial support.
DS Docta Complutense
RD 27 abr 2024