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Consistency checks of pion-pion scattering data and chiral dispersive calculations

dc.book.titleQuark Confinement and the Hadron Spectrum VI
dc.contributor.authorPeláez Sagredo, José Ramón
dc.contributor.authorYnduráin, F.J.
dc.date.accessioned2023-06-20T13:43:05Z
dc.date.available2023-06-20T13:43:05Z
dc.date.issued2005
dc.description©2005 American Institute of Physics. ISSN: 0094-243X Conference 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.
dc.description.abstractWe 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.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/35497
dc.identifier.doi10.1063/1.1920932
dc.identifier.isbn0-7354-0241-8
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.1920932
dc.identifier.relatedurlhttp://scitation.aip.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/53486
dc.issue.number756
dc.language.isoeng
dc.page.final59
dc.page.initial48
dc.page.total12
dc.publisherAmer Inst Physics
dc.relation.ispartofseriesAIP Conference Proceedings
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordPhase-shift analysis
dc.subject.keywordGev-c
dc.subject.keywordParameters
dc.subject.keywordAmplitudes
dc.subject.keywordπ&π
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleConsistency checks of pion-pion scattering data and chiral dispersive calculations
dc.typebook part
dcterms.references1. 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)
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery70900239-cb8b-49f3-931f-9dc6a8b7d8d5

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