Pion-pion scattering amplitude. III. Improving the analysis with forward dispersion relations and Roy equations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 5, 2008, Pages

  Kaminski R ^a   Pelaez J R ^b   Yndurain F J ^c  

^a INSTITUTE OF NUCLEAR PHYSICS   (Poland)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41549133125     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.054015     Document Type: Article

References (49)

1. J.R. Peláez and F.J. Ynduráin, Phys. Rev. D 71, 074016 (2005). 10.1103/PhysRevD.71.074016 PRVDAQ 0556-2821
2. R. Kamiński, J.R. Peláez, and F.J. Ynduráin, Phys. Rev. D 74, 014001 (2006); 10.1103/PhysRevD.74.014001 PRVDAQ 0556-2821
3. R. Kamiński J.R. Peláez F.J. Ynduráin Phys. Rev. D 74, 079903(E) (2006). 10.1103/PhysRevD.74.079903 PRVDAQ 0556-2821
4. R. García Martín, J.R. Peláez, and F.J. Ynduráin, Phys. Rev. D 76, 074034 (2007). 10.1103/PhysRevD.76.074034 PRVDAQ 0556-2821
5. Kl4 decays: L. Rosselet, Phys. Rev. D 15, 574 (1977); 10.1103/PhysRevD.15.574 PRVDAQ 0556-2821
6. S. Pislak, Phys. Rev. Lett. 87, 221801 (2001); 10.1103/PhysRevLett.87. 221801 PRLTAO 0031-9007
7. NA48/2 (CERN/SPS experiment); B. Bloch-Devaux, QCD06, Montpellier (France), 2006;
8. L. Masetti, ICHEP06, Moscow (Russia), 2006.
9. K→2π decays: A. Aloisio, Phys. Lett. B 538, 21 (2002); 10.1016/S0370-2693(02)01838-5 PYLBAJ 0370-2693
10. C. Gatti and V. Cirigliano (private communication).
11. S.M. Roy, Phys. Lett. 36B, 353 (1971). PHLTAM 0031-9163
12. B. Hyams, Nucl. Phys. NUPBBO 0550-3213 B64, 134 (1973); 10.1016/0550-3213(73)90618-4
13. P. Estabrooks and A.D. Martin, Nucl. Phys. NUPBBO 0550-3213 B79, 301 (1974); 10.1016/0550-3213(74)90488-X
14. G. Grayer, Nucl. Phys. NUPBBO 0550-3213 B75, 189 (1974); 10.1016/0550-3213(74)90545-8
15. S.D. Protopopescu, Phys. Rev. D 7, 1279 (1973); 10.1103/PhysRevD.7.1279 PRVDAQ 0556-2821
16. R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); 10.1007/s002880050372 ZPCFD2 0170-9739
17. R. Kamiński L. Lesniak K. Rybicki Eur. Phys. J. direct C 4, 1 (2002); 10.1007/s1010502c0004 1435-3725
18. B. Hyams, Nucl. Phys. NUPBBO 0550-3213 B100, 205 (1975); 10.1016/0550-3213(75)90616-1
19. M.J. Losty, Nucl. Phys. NUPBBO 0550-3213 B69, 185 (1974); 10.1016/0550-3213(74)90131-X
20. W. Hoogland, Nucl. Phys. B NUPBBO 0550-3213 126, 109 (1977); 10.1016/0550-3213(77)90154-7
21. N.B. Durusoy, Phys. Lett. B 45, 517 (1973). 10.1016/0370-2693(73)90658-8 PYLBAJ 0370-2693
22. ππ→K̄K scattering: W. Wetzel, Nucl. Phys. NUPBBO 0550-3213 B115, 208 (1976); 10.1016/0550-3213(76)90254-6
23. D. Cohen, Phys. Rev. D 22, 2595 (1980); 10.1103/PhysRevD.22.2595 PRVDAQ 0556-2821
24. E. Etkin, Phys. Rev. D 25, 1786 (1982). 10.1103/PhysRevD.25.1786 PRVDAQ 0556-2821
25. J.F. de Trocóniz and F.J. Ynduráin, Phys. Rev. D 65, 093001 (2002); 10.1103/PhysRevD.65.093001 PRVDAQ 0556-2821
26. J.F. de Trocóniz F.J. Ynduráin Phys. Rev. D 71, 073008 (2005). 10.1103/PhysRevD.71.073008 PRVDAQ 0556-2821
27. J.R. Peláez and F.J. Ynduráin, Phys. Rev. D 69, 114001 (2004). 10.1103/PhysRevD.69.114001 PRVDAQ 0556-2821
28. See also J.R. Cudell, Phys. Lett. B 587, 78 (2004); 10.1016/j.physletb. 2004.02.058 PYLBAJ 0370-2693
29. J.R. Peláez, arXiv: hep-ph/0510005. Note, however, that the first reference fits data for πN and NN, but not for ππ, and only for energies above ∼4GeV; while the last article contains only preliminary results and, indeed, the parameters for exchange of isospin zero are not well determined.
30. W. Rarita, Phys. Rev. 165, 1615 (1968). 10.1103/PhysRev.165.1615 PHRVAO 0031-899X
31. C.D. Froggatt and J.L. Petersen, Nucl. Phys. NUPBBO 0550-3213 B129, 89 (1977). 10.1016/0550-3213(77)90021-9
32. R. Kamiński, J.R. Peláez, and F.J. Ynduráin, Fourth International Conference on Quarks and Nuclear Physics, Madrid, 2006;
33. R. Kamiński J.R. Peláez F.J. Ynduráin Eur. Phys. J. A 31, 479 (2007). 10.1140/epja/i2007-10006-6 EPJAFV 1434-6001
34. B. Ananthanarayan, Phys. Rep. 353, 207 (2001). 10.1016/S0370-1573(01) 00009-6 PRPLCM 0370-1573
35. S.L. Adler and F.J. Ynduráin, Phys. Rev. D 75, 116002 (2007). 10.1103/PhysRevD.75.116002 PRVDAQ 0556-2821
36. B. Adeva, A. Romero Vidal, and O. Vázquez Doce, Eur. Phys. J. A 31, 522 (2007). 10.1140/epja/i2006-10230-6 EPJAFV 1434-6001
37. N. Cabibbo and G. Isidori, J. High Energy Phys. JHEPFG 1029-8479 03 (2005) 021; 10.1088/1126-6708/2005/03/021
38. NA48 Experiment: see, e.g., S. Balev, arXiv:0705.4183v2.
39. G. Colangelo, J. Gasser, and H. Leutwyler, Nucl. Phys. NUPBBO 0550-3213 B603, 125 (2001). 10.1016/S0550-3213(01)00147-X
40. A. Dobado and J.R. Peláez, Phys. Rev. D 56, 3057 (1997); 10.1103/PhysRevD.56.3057 PRVDAQ 0556-2821
41. J.A. Oller, E. Oset, and J.R. Peláez, Phys. Rev. D 59, 074001 (1999); 10.1103/PhysRevD.59.074001 PRVDAQ 0556-2821
42. J.A. Oller E. Oset J.R. Peláez Phys. Rev. D 60, 099906 (1999); 10.1103/PhysRevD.60.099906 PRVDAQ 0556-2821
43. J.A. Oller E. Oset J.R. Peláez Phys. Rev. D 75, 099903 (2007); 10.1103/PhysRevD.75.099903 PRVDAQ 0556-2821
44. A. Gómez-Nicola and J.R. Peláez, Phys. Rev. D 65, 054009 (2002). 10.1103/PhysRevD.65.054009 PRVDAQ 0556-2821
45. J.R. Peláez and F.J. Ynduráin, Phys. Rev. D 68, 074005 (2003). 10.1103/PhysRevD.68.074005 PRVDAQ 0556-2821
46. J. Gasser, arXiv:0710.3048.
47. S. Ciulli, Strong Interactions, Lecture Notes in Physics (Springer-Verlag, New York, 1973);
48. J. Pisut, Low Energy Hadron Interactions (Springer, Berlin 1970).
49. F.J. Ynduráin, Ann. Phys. (N.Y.) 75, 171 (1973). 10.1016/0003-4916(73)90466-1 APNYA6 0003-4916