A new analysis of πK scattering from Roy and Steiner type equations

European Physical Journal C

Volumn 33, Issue 3, 2004, Pages 409-432

  Buttiker P ^a   Descotes Genon, S ^b   Moussallam, B ^c  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITÉ PARIS SUD   (France)

^c UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442449382     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjc/s2004-01591-1     Document Type: Article

References (93)

1. J. Gasser, H. Leutwyler, Annals Phys. 158, 142 (1984)
2. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)
3. J.L. Basdevant, J.C. Le Guillou, H. Navelet, Nuovo Cim. A 7, 363 (1972)
4. J.L. Basdevant, C.D. Froggatt, J.L. Petersen, Phys. Lett. B 41, 173 (1972); Nucl. Phys. B 72, 413 (1974)
5. J.L. Basdevant, C.D. Froggatt, J.L. Petersen, Phys. Lett. B 41, 173 (1972); Nucl. Phys. B 72, 413 (1974)
6. M.R. Pennington, S.D. Protopopescu, Phys. Rev. D 7, 1429, 2591 (1973)
7. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rept. 353, 207 (2001) [hep-ph/0005297]
8. G. Colangelo, J. Gasser, H. Leutwyler, Nucl. Phys. B 603, 125 (2001) [hep-ph/0103088]
9. R. Kaminski, L. Lesniak, B. Loiseau, Phys. Lett. B 551, 241 (2003) [hep-ph/0210334]
10. S. Pislak et al., Phys. Rev. D 67, 072004 (2003) [hep-ex/0301040]
11. G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rev. Lett. 86, 5008 (2001) [hep-ph/0103063]
12. S. Descotes-Genon, N.H. Fuchs, L. Girlanda, J. Stern, Eur. Phys. J. C 24, 469 (2002) [hep-ph/0112088]
13. S. Descotes-Genon, L. Girlanda, J. Stern, JHEP 0001, 041 (2000) [hep-ph/9910537]
14. S. Descotes-Genon, L. Girlanda, J. Stern, Eur. Phys. J. C 27, 115 (2003) [hep-ph/0207337]
15. B. Ananthanarayan, P. Büttiker, Eur. Phys. J. C 19, 517 (2001) [hep-ph/0012023]
16. B. Ananthanarayan, P. Büttiker, B. Moussallam, Eur. Phys. J. C 22, 133 (2001) [hep-ph/0106230]
17. G. Amoros, J. Bijnens, P. Talavera, Phys. Lett. B 480, 71 (2000) [hep-ph/9912398], Nucl. Phys. B 585, 293 (2000) [Erratum B 598, 665 (2001)] [hep-ph/0003258]
18. G. Amoros, J. Bijnens, P. Talavera, Phys. Lett. B 480, 71 (2000) [hep-ph/9912398], Nucl. Phys. B 585, 293 (2000) [Erratum B 598, 665 (2001)] [hep-ph/0003258]
19. G. Amoros, J. Bijnens, P. Talavera, Phys. Lett. B 480, 71 (2000) [hep-ph/9912398], Nucl. Phys. B 585, 293 (2000) [Erratum B 598, 665 (2001)] [hep-ph/0003258]
20. V. Bernard, N. Kaiser, U.G. Meißner, Phys. Rev. D 43, 2757 (1991)
21. V. Bernard, N. Kaiser, U.G. Meißner, Nucl. Phys. B 357, 129 (1991)
22. M. Jamin, J.A. Oller, A. Pich, Nucl. Phys. B 587, 331 (2000) [hep-ph/0006045]
23. M. Jamin, J.A. Oller, A. Pich, Nucl. Phys. B 622, 279 (2002) [hep-ph/0110193]
24. S.M. Roy, Phys. Lett. B 36, 353 (1971)
25. F. Steiner, Fortsch. Phys. 19, 115 (1971)
26. J.P. Ader, C. Meyers, B. Bonnier, Phys. Lett. B 46, 403 (1973)
27. C.B. Lang, Nuovo Cim. A 41, 73 (1977)
28. N. Johannesson, G. Nilsson, Nuovo Cim. A 43, 376 (1978)
29. P. Estabrooks, R.K. Carnegie, A.D. Martin, W.M. Dunwoodie, T.A. Lasinski, D.W. Leith, Nucl. Phys. B 133, 490 (1978)
30. D. Aston et al., Nucl. Phys. B 296, 493 (1988)
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. J.M. Link et al. [FOCUS Collaboration], Phys. Lett. B 535, 43 (2002) [hep-ex/0203031]
34. B. Bajc, S. Fajfer, R.J. Oakes, T.N. Pham, Phys. Rev. D 58, 054009 (1998) [hep-ph/9710422]
35. A. Weinstein [CLEO Collaboration], eConf C 0209101 (2002) TU15 [hep-ex/0210058]
36. P. Adeva et al., DIRAC coll., Addendum to DIRAC proposal, CERN/SPSC 2000-032
37. J. Gasser, G. Wanders, Eur. Phys. J. C 10, 159 (1999) [hep-ph/9903443]
38. G. Wanders, Eur. Phys. J. C 17, 323 (2000) [hep-ph/0005042]
39. C.B. Lang, Fortsch. Phys. 26, 509 (1978)
40. S. Mandelstam, Phys. Rev. 112, 1344 (1958)
41. S. Mandelstam, Nuovo Cim. 15, 658 (1960)
42. A. Martin, Nuovo Cim. A 42, 930 (1966), A 44, 1219 (1966)
43. A. Martin, Nuovo Cim. A 42, 930 (1966), A 44, 1219 (1966)
44. M. Froissart, Phys. Rev. 123, 1053 (1961)
45. P.D.B. Collins, Regge theory and high-energy (Cambridge University Press, Cambridge 1977)
46. G. 't Hooft, Nucl. Phys. B 72, 461 (1974)
47. A.M. Polyakov, Nucl. Phys. Proc. Suppl. 68, 1 (1998) [hep-th/9711002]
48. S.W. MacDowell, Phys. Rev. 116, 774 (1959)
49. G. Höhler, Pion nucleon scattering, Landolt-Börnstein New Series vol. 9/b2 (Springer-Verlag, Berlin 1983)
50. C. Itzykson, J-B. Zuber, Quantum field theory (McGraw-Hill, New York 1980)
51. S.J. Lindenbaum, R.S. Longacre, Phys. Lett. B 274, 492 (1992)
52. W. Wetzel et al., Nucl. Phys. B 115, 208 (1976); V.A. Polychronakos et al., Phys. Rev. D 19, 1317 (1979)
53. W. Wetzel et al., Nucl. Phys. B 115, 208 (1976); V.A. Polychronakos et al., Phys. Rev. D 19, 1317 (1979)
54. B. Hyams et al., Nucl. Phys. B 100, 205 (1975)
55. R. Kaminski, L. Lesniak, K. Rybicki, Z. Phys. C 74, 79 (1997) [hep-ph/9606362]
56. S. Anderson et al. [CLEO Collaboration], Phys. Rev. D 61, 112002 (2000) [hep-ex/9910046]
57. J.H. Kuhn, A. Santamaria, Z. Phys. C 48, 445 (1990)
58. K. Hagiwara et al. [Particle Data Group Collaboration], Phys. Rev. D 66, 010001 (2002)
59. G. Veneziano, Nuovo. Cim. A 57, 264 (1968)
60. C. Lovelace, Phys. Lett. B 28, 264 (1968)
61. J.A. Shapiro, Phys. Rev. 179, 1345 (1969)
62. K. Kawarabayashi, K. Kitakado, H. Yabuki, Phys. Lett. B 28, 432 (1969)
63. N.O. Johannesson, J.L. Petersen, Nucl. Phys. B 68, 397 (1974)
64. N. Hedegaard-Jensen, Nucl. Phys. B 77, 173 (1974)
65. K.M. Watson, Phys. Rev. 95, 228 (1954)
66. N. Muskhelishvili, Singular integral equations (P. Noordhof, Groningen 1953)
67. R. Omnès, Nuovo Cim. 8, 316 (1958)
68. F. James, M. Roos, Comput. Phys. Commun. 10, 343 (1975)
69. A. Schenk, Nucl. Phys. B 363, 97 (1991)
70. S. Deser, M.L. Goldberger, K. Baumann, W. Thirring, Phys. Rev. 96, 774 (1954)
71. A. Karabarbounis, G. Shaw, J. Phys. G 6, 583 (1980)
72. W. Ochs, pi N Newsletter 3, 25 (1991)
73. J. Urheim [CLEO Collaboration], Nucl. Phys. Proc. Suppl. C 55, 359 (1997)
74. C.B. Lang, W. Porod, Phys. Rev. D 21, 1295 (1980)
75. T.P. Cheng, R.F. Dashen, Phys. Rev. Lett. 26, 594 (1971)
76. J. Gasser, M. Sainio, Sigma-term physics, Third Workshop on physics and detectors for DAPHNE, Frascati (1999) [hep-ph/0002283]
77. C. Riggenbach, J. Gasser, J.F. Donoghue, B.R. Holstein, Phys. Rev. D 43, 127 (1991)
78. J. Bijnens, Nucl. Phys. B 337, 635 (1990)
79. B. Moussallam, JHEP 0008, 005 (2000) [hep-ph/0005245]
80. B. Moussallam, Eur. Phys. J. C 14, 111 (2000) [hep-ph/9909292]
81. J.F. Donoghue, J. Gasser, H. Leutwyler, Nucl. Phys. B 343, 341 (1990)
82. V. Cirigliano, G. Ecker, H. Neufeld, A. Pich, JHEP 0306, 012 (2003) [hep-ph/0305311]
83. J. Bijnens, P. Dhonte, hep-ph/0307044
84. A. Gomez Nicola, J.R. Pelaez, Phys. Rev. D 65, 054009 (2002) [hep-ph/0109056]
85. A. Roessl, Nucl. Phys. B 555, 507 (1999) [hep-ph/9904230]
86. M. Frink, B. Kubis, U.G. Meißner, Eur. Phys. J. C 25, 259 (2002) [hep-ph/0203193]
87. S.N. Cherry, M.R. Pennington, Nucl. Phys. A 688, 823 (2001) [hep-ph/0005208]
88. N.G. Kelkar, M. Nowakowski, K.P. Khemchandani, Nucl. Phys. A 724, 357 (2003) [hep-ph/0307184]
89. A. Nehme, P. Talavera, Phys. Rev. D 65, 054023 (2002) [hep-ph/0107299].
90. A. Nehme, Eur. Phys. J. C 23, 707 (2002) [hep-ph/0111212]
91. B. Kubis, U.G. Meißner, Phys. Lett. B 529, 69 (2002) [hep-ph/0112154]; Nucl. Phys. A 699, 709 (2002) [hep-ph/0107199]
92. B. Kubis, U.G. Meißner, Phys. Lett. B 529, 69 (2002) [hep-ph/0112154]; Nucl. Phys. A 699, 709 (2002) [hep-ph/0107199]
93. I.S. Gradshtein, I.M. Ryzhik, Tables of integrals series and products (Academic Press, Orlando 1980), Sect. 3.471, (13)