Low-energy photon-photon fusion into three pions in generalized chiral perturbation theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 60, Issue 9, 1999, Pages

  Ametller, Ll ^a   Kambor, J ^a   Knecht, M ^a   Talavera, P ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33750278903     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.60.094003     Document Type: Article

References (65)

1. C. Vafa and E. Witten, Nucl. Phys. B234, 173 (1984).
2. G. ’t Hooft, in Recent Developments in Gauge Theories, edited by G. ’t Hooft et al. (Plenum, New York, 1980)
3. Y. Frishman, A. Schwimmer, T. Banks, and S. Yankielowicz, Nucl. Phys. B177, 117 (1981)
4. Nucl. Phys.S. Coleman and B. Grossman, B203, 205 (1982).
5. J. Preskill and S. Weinberg, Phys. Rev. D 24, 1059 (1981).
6. M. Gell-Mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968)
7. S. Glashow and S. Weinberg, Phys. Rev. Lett. 20, 224 (1968).
8. Particle Data Group, G. Caso, Eur. Phys. J. C 3, 1 (1998).
9. J. Stern, “Two alternatives of spontaneous chiral symmetry breaking in QCD,” Report No. IPNO-TH-97-41, hep-ph/9801282
10. J. Sterncontribution to the 205. WE-Heraeus Seminar, Bad Honnef, Germany, 1998, edited by J. Bijnens and U.-G. Meissner, hep-ph/9901381.
11. J. Stern, in Chiral Dynamics: Theory and Experiment, edited by A. M. Bernstein, D. Drechsel, and T. Walcher, Lecture Notes in Physics 513 (Springer-Verlag, Berlin, 1998).
12. I. I. Kogan, A. Kovner, and M. Shifman, Phys. Rev. D 59, 016001 (1999).
13. J. Comellas, J. I. Latorre, and J. Taron, Phys. Lett. B 360, 109 (1995).
14. C. Arvanitis, F. Geniet, J. L. Kneur, and A. Neveu, Phys. Lett. B 390, 385 (1997)
15. J. L. Kneur, Phys. Rev. D 57, 2785 (1998).
16. N. H. Fuchs, H. Sazdjian, and J. Stern, Phys. Lett. B 269, 183 (1991)
17. J. Stern, H. Sazdjian, and N. H. Fuchs, Phys. Rev. D 47, 3814 (1993);M. Knecht, B. Moussallam, and J. Stern, The π-π Amplitude in Generalized Chiral perturbation Theory, in The Second Daφne Physics Handbook, edited by L. Maiani, G. Pancheri, and N. Paver, 1995
18. J. Stern, Nucl. Phys. B (Proc. Suppl.) B39, 253 (1995).
19. M. Knecht, B. Moussallam, J. Stern, and N. H. Fuchs, Nucl. Phys. B457, 513 (1995).
20. G. Ecker, Prog. Part. Nucl. Phys. 35, 1 (1995)
21. J. Stern, in Proceedings of the Workshop on Physics and Detectors for Da(Formula presented)ne ’95, edited by R. Baldini, F. Bossi, G. Capon, and G. Pancheri, Frascati Physics Series Vol. IV (INFN-LNF SIS-Ufficio Pubblicazioni, 1995), hep-ph/9510318
22. M. R. Pennington, in DAPHCE Workshop on Hadron Dynamics with the New DaΦne and TJNAF Facilities, Frascati, Italy, 1996 [Nucl. Phys. A623, 189c (1997)
23. Nucl. Phys.H. Leutwyler, A623, 169c (1997).
24. S. Weinberg, Physica A 96, 327 (1979).
25. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984).
26. J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985).
27. M. Knecht and J. Stern, in Generalized Chiral Perturbation Theory, in The Second Da(Formula presented)ne Physics Handbook 11
28. M. Knecht, Nucl. Phys. B (Proc. Suppl.) B39, 249 (1995).
29. S. Weinberg, Phys. Rev. Lett. 17, 616 (1967).
30. L. Rosselet, Phys. Rev. D 15, 574 (1977).
31. See, for instance, the contribution of J. Lowe in Chiral Dynamics: Theory and Experiment 7, p. 375.
32. J. Lee-Franzini, in Status of Daphne and KLOE, The Second Daφne Physics Handbook 11.
33. B. Adeva et al., proposal to the SpSLC, CERN/SPSLC 95-1, SPSLC/P 284.
34. S. Adler, B. W. Lee, S. B. Treiman, and A. Zee, Phys. Rev. D 4, 3497 (1971).
35. J. W. Bos, Y. C. Lin, and H. H. Shih, Phys. Lett. B 337, 152 (1994).
36. P. Talavera, Ll. Ametller, J. Bijnens, A. Bramon, and F. Cornet, Phys. Lett. B 376, 186 (1996).
37. P. Talavera, Ph.D. dissertation, Universitat de Barcelona, 1997 (unpublished).
38. H. W. Fearing and S. Scherer, Phys. Rev. D 53, 315 (1996).
39. J. Bijnens, G. Colangelo, and G. Ecker, J. High Energy Phys. 9902, 020 (1999).
40. J. Bijnens, Int. J. Mod. Phys. A 8, 3045 (1993).
41. D. Issler, Report No. SLAC-PUB-4943 (1989; revised 1990).
42. R. Akhoury and A. Alfakih, Ann. Phys. (N.Y.) 210, 81 (1991).
43. J. F. Donoghue and D. Wyler, Nucl. Phys. B316, 289 (1989).
44. J. Bijnens, A. Bramon, and F. Cornet, Z. Phys. C 46, 599 (1990).
45. G. Chew and S. Mandelstam, Phys. Rev. 119, 467 (1960).
46. C. Riggenbach, J. Gasser, and J. F. Donoghue, Phys. Rev. D 43, 127 (1991)
47. J. Bijnens, G. Colangelo, and J. Gasser, Nucl. Phys. B427, 427 (1994).
48. M. R. Pennington and J. Portolés, Phys. Lett. B 334, 399 (1995)
49. D. Toublan, Phys. Rev. D 53, 6602 (1996)
50. Phys. Rev. DB. Ananthanarayan and P. Büttiker, 54, 5501 (1996)
51. Phys. Rev. DG. Wanders, 56, 4328 (1997).
52. J. Bijnens, G. Colangelo, G. Ecker, J. Gasser, and M. E. Sainio, Phys. Lett. B 374, 210 (1996)
53. J. BijnensG. ColangeloG. EckerJ. GasserM. E. SainioNucl. Phys. B508, 263 (1997).
54. L. Girlanda, M. Knecht, B. Moussallam, and J. Stern, Phys. Lett. B 409, 461 (1997).
55. J. Gasser, in The (Formula presented) Scattering Amplitude in Chiral Perturbation Theory, The Second Da(Formula presented)ne Physics Handbook 11.
56. M. Knecht, B. Moussallam, J. Stern, and N. H. Fuchs, Nucl. Phys. B471, 445 (1996).
57. L. Girlanda and J. Stern, Report No. IPNO-TH/99-09, hep-ph/9906489;L. Girlanda (in preparation).
58. D. Morgan and G. Shaw, Nucl. Phys. B10, 1387 (1969).
59. J. Bijnens, G. Colangelo, and P. Talavera, J. High Energy Phys. 05, 014 (1998).
60. A. Manohar and H. Georgi, Nucl. Phys. B234, 189 (1984)
61. Nucl. Phys.H. Georgi and L. Randall, B276, 241 (1986)
62. H. Georgi, Phys. Lett. B 298, 187 (1993).
63. B. Moussallam, Phys. Rev. D 51, 4939 (1995).
64. Proceedings of the Third Workshop on the Tau–Charm Factory, Marbella (Spain), 1–6 June 1993, edited by J. Kirkby and R. Kirkby (Éditions Frontières, Gif-sur-Yvette, France, 1994);M.L. Perl and C. Kim, Report No. SLAC-PUB-8094 (1999).
65. A. Courau and G. Pancheri, in The Da(Formula presented)ne Physics Handbook, edited by L. Maiani, G. Pancheri, and N. Paver, 1992.