RT Journal Article T1 In memory of Paco Yndurain: A precise determination of pi pi scattering from experiment and dispersion relations A1 Peláez Sagredo, José Ramón A1 Martin, R. A1 García, R. A1 Kamiński, Robert A1 Yndurain, F.J. AB This talk is dedicated to the memory of Paco Yndurain, the original speaker in the conference. After a short account of his scientific career, we briefly review our ongoing collaboration to determine precisely the pi pi scattering amplitude including the most recent data by means of Forward Dispersion Relations and Roy Equations. A remarkable improvement in precision over the intermediate energy region is obtained by using once-subtracted Roy Equations in addition to the standard twice-subtracted ones. PB Elsevier Science Bv SN 0920-5632 YR 2009 FD 2009-01 LK https://hdl.handle.net/20.500.14352/44856 UL https://hdl.handle.net/20.500.14352/44856 LA eng NO 1. F. J. Yndurain, Rev.Mod.Phys.44 (1972) 645. 2. F. J. Yndurain, Phys. Lett. B 74 (1978) 68. A. Gonzalez- Arroyo, C. Lopez and F. J. Yndurain, Nucl. Phys. B 153 (1979) 161. C. Lopez and F. J. Yndurain, Nucl. Phys. B 171, 231 (1980); Nucl. Phys. B 183, 157 (1981). 3. J. A. Casas, C. Lopez and F. J. Yndurain, Phys. Rev. D 32 (1985) 736. J. F. De Troconiz and F. J. Yndurain, Phys. Rev. D 65, 093001 (2002); Phys. Rev. D 71, 073008 (2005). 4. S. Titard and F. J. Yndurain, Phys. Rev. D 49 (1994) 6007. A. Pineda and F. J. Yndurain, Phys. Rev. D 58 (1998) 094022. 5. C. Becchi, S. Narison, E. de Rafael and F. J. Yndurain, Z. Phys. C 8 (1981) 335. 6. M. J. G. Veltman and F. J. Yndurain, Nucl. Phys. B 325 (1989) 1. 7. C. Jarlskog and F. J. Yndurain, Nucl. Phys. B 149 (1979) 29. M. J. Herrero, L. E. Ibañez, C. Lopez and F. J. Yndurain, Phys. Lett. B 132 (1983) 199; Phys. Lett. B 145 (1984) 430. 8. R. Kaminski, J. R. Pelaez and F. J. Yndurain, Phys. Rev. D 77 (2008) 054015; Phys. Rev. D 74 (2006) 014001 9. R. Garcia-Martin and J. R. Pelaez, F. J. Yndurain, Phys. Rev. D 76 (2007) 074034 J. R. Pelaez and F. J. Ynduráin, Phys. Rev. D 71 (2005) 074016; Phys. Rev. D 69 (2004) 114001 10. J. Gasser and H. Leutwyler, Annals Phys. 158, 142 (1984). 11. 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]. 12. R. García-Martín, R. Kaminski, and J. R. Peláez arXiv:0804.2643 [hep-ph]. 13. S. M. Roy, Phys. Lett. B 36, 353 (1971). 14. 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 15. J. R. Pelaez and F. J. Yndurain, Nucl. Phys. Proc. Suppl. 164 (2007) 93; Phys. Rev. D 68 (2003) 074005 16. I. Caprini, G. Colangelo, J. Gasser and H. Leutwyler, Phys. Rev. D 68 (2003) 074006 17. R. Kaminski, L. Lesniak and B. Loiseau, Phys. Lett. B 551, 241 (2003) 18. S. Descotes-Genon, N. H. Fuchs, L. Girlanda and J. Stern, Eur. Phys. J. C 24, 469 (2002) 19. C. Amsler et al. [Particle Data Group], Phys. Lett. B 667 (2008) 1. 20. R. Kaminski et al arXiv:0809.4766 [hep-ph]. 21. H. Leutwyler, AIP Conf. Proc. 892 (2007) 58 [arXiv:hep-ph/0612111]. NO ©Elsevier Science Bv.J.R.P. thanks A. Galindo, A. González Arroyo and M.J. Herrero, for kindly providing information about Paco Ynduráin’s career and H. Leutwyler for his comments about the matching of the S0 wave. DS Docta Complutense RD 7 may 2024