Publication:
Precise analysis of π π scattering data from Roy equations and forward dispersion relations

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2008
Authors
Garcia Martin, R.
Kamiński, Robert
Ynduráin, F. J.
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Physics
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
We review our recent analysis of ππ scattering data in terms of Roy equations and Forward Dispersion Relations, and present some preliminary results in terms of a new set of oncesubtracted coupled equations for partial waves. The first analysis consists of independent fits to the different ππ channels that satisfies rather well the dispersive representation. In the second analysis we constrain the fit with the dispersion relations. The latter provides a very precise and model independent description of data using just analyticity, causality and crossing.
Description
ISSN: 0094-243X ©2008 American Institute of Physics. Workshop on Scalar Mesons and Related Topics (2008. Lisboa, Portugal). J.R.P. thanks the organizers for creating such a stimulating conference.
Keywords
Citation
1. J. Gasser and H. Leutwyler, Annals Phys. 158, 142 (1984). 2. J. R. Batley et al. [NA48/2 Collaboration], Eur. Phys. J. C 54 (2008) 411. S. Pislak et al. [BNL-E865 Collaboration], Phys. Rev. Lett. 87 (2001) 221801 [arXiv:hep- ex/0106071]. 3. S. M. Roy, Phys. Lett. B 36, 353 (1971). 4. G. Colangelo,J. Gasser and H. Leutwyler, Nucl. Phys. B 603 (2001) 125 B. Ananthanarayan, G. Colangelo, J. Gasser and H. Leutwyler, Phys. Rept. 353 (2001) 207 5. J. R. Peláez and F. J. Ynduráin, Nucl. Phys. Proc. Suppl. 164 (2007) 93; Phys. Rev. D 68 (2003) 074005 6. I. Caprini, G. Colangelo, J. Gasser and H. Leutwyler, Phys. Rev. D 68 (2003) 074006 7. R. Kaminski, L. Lesniak and B. Loiseau, Phys. Lett. B 551, 241 (2003) 8. S. Descotes-Genon, N. H. Fuchs, L. Girlanda and J. Stern, Eur. Phys. J. C 24, 469 (2002) 9. R. Kaminski, J. R. Peláez and F. J. Ynduráin, Phys. Rev. D 77 (2008) 054015; Phys. Rev. D 74 (2006) 014001 10. R. García-Martín and J. R. Peláez, F. J. Ynduráin, Phys. Rev. D 76 (2007) 074034 J. R. Peláez and F. J. Ynduráin, Phys. Rev. D 71 (2005) 074016; Phys. Rev. D 69 (2004) 114001