πK sum rules and the SU(3) chiral expansion

European Physical Journal C

Volumn 22, Issue 1, 2001, Pages 133-148

  Ananthanarayan, B ^a   Buttiker P ^b   Moussallam, B ^c  

^a INDIAN INSTITUTE OF SCIENCE   (India)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

^c UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001482688     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100520100766     Document Type: Article

References (55)

1. J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000) [hep-ph/9907333]; JHEP 9902, 020 (1999) [hep-ph/9902437]
2. J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000) [hep-ph/9907333]; JHEP 9902, 020 (1999) [hep-ph/9902437]
3. S. Weinberg, Physica A 96, 327 (1979)
4. J. Gasser, H. Leutwyler, Annals Phys. 158, 142 (1984)
5. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)
6. G. Ecker, Prog. Part. Nucl. Phys. 35, 1 (1995) [hep-ph/9501357]
7. V. Bernard, N. Kaiser, U.C. Meißner, Phys. Rev. D 43, 2757 (1991); Nucl. Phys. B 357, 129 (1991)
8. V. Bernard, N. Kaiser, U.C. Meißner, Phys. Rev. D 43, 2757 (1991); Nucl. Phys. B 357, 129 (1991)
9. J. Bijnens, Nucl. Phys. B 337, 635 (1990)
10. C. Riggenbach, J. Gasser, J.F. Donoghue, B.R. Holstein, Phys. Rev. D 43, 127 (1991)
11. G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989)
12. Y. Iwasaki, K. Kanaya, S. Kaya, S. Sakai, T. Yoshie, Prog. Theor. Phys. Suppl. 131, 415 (1998) [hep-lat/9804005]; R.D. Mawhinney, Nucl. Phys. Proc. Suppl. A 60, 306 (1998) [hep-lat/9705031]
13. Y. Iwasaki, K. Kanaya, S. Kaya, S. Sakai, T. Yoshie, Prog. Theor. Phys. Suppl. 131, 415 (1998) [hep-lat/9804005]; R.D. Mawhinney, Nucl. Phys. Proc. Suppl. A 60, 306 (1998) [hep-lat/9705031]
14. D. Black, A.H. Fariborz, F. Saunino, J. Schlechter, Phys. Rev. D 58, 054012 (1998) [hep-ph/9804273]
15. A. Roessl, Nucl. Phys. B 555, 507 (1999) [hep-ph/9904230]
16. M. Jamin, J.A. Oller, A. Pich, Nucl. Phys. B 587, 331 (2000) [hep-ph/0006045]
17. P. Minkowski, W. Ochs, Eur. Phys. J. C 9, 283 (1999) [hep-ph/9811518]
18. B. Ananthanarayan, P. Büttiker, Eur. Phys. J. C 19, 517 (2001) [hep-ph/0012023]
19. N.O. Johannesson, J.L. Petersen, Nucl. Phys. B 68, 397 (1974)
20. N. Johannesson, G. Nilsson, Nuovo Cim. A 43, 376 (1978)
21. C.B. Lang, Fortsch. Phys. 26, 509 (1978)
22. J. Stern, H. Sazdjian, N.H. Fuchs, Phys. Rev. D 47, 3814 (1993) [hep-ph/9301244]
23. W.R. Frazer, J.R. Fulco, Phys. Rev. 117, 1603 (1960)
24. G.E. Hite, F. Steiner, Nuovo Cim. A 18, 237 (1973)
25. M. Knecht, B. Moussallam, J. Stern, N.H. Fuchs, Nucl. Phys. B 471, 445 (1996) [hep-ph/9512404]
26. P. Estabrooks, R.K. Carnegie, A.D. Martin, W.M. Dunwoodie, T.A. Lasinski, D.W. Leith, Nucl. Phys. B 133, 490 (1978)
27. D. Aston et al., Nucl. Phys. B 296, 493 (1988)
28. N. Hedegaard-Jensen, Nucl. Phys. B 77, 173 (1974)
29. J.P. Ader, C. Meyers, B. Bonnier, Phys. Lett. B 46, 403 (1973)
30. B.R. Martin, D. Morgan, G. Shaw, Pion-pion interactions in particle physics (Academic Press, London 1976)
31. D. Cohen, D.S. Ayres, R. Diebold, S.L. Kramer, A.J. Pawlicki, A.B. Wicklund, Phys. Rev. D 22, 2595 (1980)
32. A. Etkin et al., Phys. Rev. D 25, 1786 (1982)
33. S.J. Lindenbaum, R.S. Longacre, Phys. Lett. B 274, 492 (1992)
34. K.L. Au, D. Morgan, M.R. Pennington, Phys. Rev. D 35, 1633 (1987)
35. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Reports 353/4, 207 (2001) [hep-ph/0005297]
36. P. Truol et al. [BNL-E865 Collaboration], hep-ex/0012012: S. Pislak et al. [BNL-E865 Collaboration], hep-ex/0106071
37. P. Truol et al. [BNL-E865 Collaboration], hep-ex/0012012: S. Pislak et al. [BNL-E865 Collaboration], hep-ex/0106071
38. G. Colangelo, J. Gasser, H. Leutwyler, hep-ph/0103088
39. N. Muskhelishvili, Singular integral equations (P. Noordhof, Groningen 1953)
40. R. Omnes, Nuovo Cim. 8, 316 (1958)
41. S.M. Roy, Phys. Lett. B 36, 353 (1971)
42. F. Steiner, Fortsch. Phys. 18, 43 (1970); 19, 115 (1971)
43. F. Steiner, Fortsch. Phys. 18, 43 (1970); 19, 115 (1971)
44. H. Nielsen, G.C. Oades, Nuel. Phys. B 55, 301 (1973)
45. S. Blatnik, J. Stahov, C.B. Lang, Nuovo Cim. A 48, 107 (1978)
46. D.E. Groom et al. [Particle Data Group Collaboration], Eur. Phys. J. C 15, 1 (2000)
47. A. Karabarbounis, G. Shaw, J. Phys. G 6, 583 (1980)
48. G. Amoros, J. Bijnens, P. Talavera, Nucl. Phys. B 602, 87 (2001) [hep-ph/0101127]
49. L. Rosselet et al., Phys. Rev. D 15, 574 (1977)
50. G. Amoros, J. Bijnens, P. Talavera, Phys. Lett. B 480, 71 (2000) [hep-ph/9912398]; G. Amoros, J. Bijnens.,P. Talavera, Nucl. Phys. B 585, 293 (2000) [Erratum-ibid. B 598, 665 (2000)] [hep-ph/0003258]
51. G. Amoros, J. Bijnens, P. Talavera, Phys. Lett. B 480, 71 (2000) [hep-ph/9912398]; G. Amoros, J. Bijnens.,P. Talavera, Nucl. Phys. B 585, 293 (2000) [Erratum-ibid. B 598, 665 (2000)] [hep-ph/0003258]
52. B. Moussallam, Eur. Phys. J. C 14, 111 (2000) [hep-ph/9909292]; B. Moussallam, JHEP 0008, 005 (2000) [hep-ph/00052 45]
53. B. Moussallam, Eur. Phys. J. C 14, 111 (2000) [hep-ph/9909292]; B. Moussallam, JHEP 0008, 005 (2000) [hep-ph/00052 45]
54. U.G. Meißner, J.A. Oller, Nucl. Phys. A 679, 671 (2001) [hep-ph/0005253]
55. S.N. Cherry, M.R. Pennington, Nucl. Phys. A 688, 823 (2001) [hep-ph/0005208]