Resumming QCD vacuum fluctuations in three-flavor Chiral Perturbation Theory

European Physical Journal C

Volumn 34, Issue 2, 2004, Pages 201-227

  Descotes Genon, S ^a   Fuchs, N H ^b   Girlanda, L ^c   Stern, J ^d  

^a UNIVERSITÉ PARIS SUD   (France)

^b PURDUE UNIVERSITY   (United States)

^c ECT   (Italy)

^d 91405 Orsay Campus   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2942530742     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjc/s2004-01601-4     Document Type: Article

References (77)

1. J. Gasser, H. Leutwyler, Annals Phys. 158, 142 (1984)
2. S. Chen, M. Davier, E. Gámiz, A. Hocker, A. Pich, J. Prades, Eur. Phys. J. C 22, 31 (2001) [hep-ph/0105253]; E. Gámiz, M. Jamin, A. Pich, J. Prades, F. Schwab, JHEP 0301, 060 (2003) [hep-ph/0212230]
3. S. Chen, M. Davier, E. Gámiz, A. Hocker, A. Pich, J. Prades, Eur. Phys. J. C 22, 31 (2001) [hep-ph/0105253]; E. Gámiz, M. Jamin, A. Pich, J. Prades, F. Schwab, JHEP 0301, 060 (2003) [hep-ph/0212230]
4. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985)
5. M. Boglione, M.R. Pennington, Phys. Rev. D 65, 114010 (2002) [hep-ph/0203149]; S. Spanier, N. Törnqvist, in K. Hagiwara et al. [Particle Data Group Collaboration], Phys. Rev. D 66, 010001 (2002)
6. M. Boglione, M.R. Pennington, Phys. Rev. D 65, 114010 (2002) [hep-ph/0203149]; S. Spanier, N. Törnqvist, in K. Hagiwara et al. [Particle Data Group Collaboration], Phys. Rev. D 66, 010001 (2002)
7. B. Moussallam, Eur. Phys. J. C 14, 111 (2000) [hep-ph/9909292]
8. B. Moussallam, JHEP 0008, 005 (2000) [hep-ph/0005245]
9. S. Descotes-Genon, J. Stern, Phys. Lett. B 488, 274 (2000) [hep-ph/0007082]
10. S. Descotes-Genon, JHEP 0103, 002 (2001) [hep-ph/0012221]
11. T. Appelquist, S.B. Selipsky, Phys. Lett. B 400, 364 (1997) [hep-ph/9702404]; M. Velkovsky, E.V. Shuryak, Phys. Lett. B 437, 398 (1998) [hep-ph/9703345]
12. T. Appelquist, S.B. Selipsky, Phys. Lett. B 400, 364 (1997) [hep-ph/9702404]; M. Velkovsky, E.V. Shuryak, Phys. Lett. B 437, 398 (1998) [hep-ph/9703345]
13. T. Banks, A. Casher, Nucl. Phys. B 169, 103 (1980); H. Leutwyler, A. Smilga, Phys. Rev. D 46, 5607 (1992); J. Stern, hep-ph/9801282; S. Descotes-Genon, J. Stern, Phys. Rev. D 62, 054011 (2000) [hep-ph/9912234]
14. T. Banks, A. Casher, Nucl. Phys. B 169, 103 (1980); H. Leutwyler, A. Smilga, Phys. Rev. D 46, 5607 (1992); J. Stern, hep-ph/9801282; S. Descotes-Genon, J. Stern, Phys. Rev. D 62, 054011 (2000) [hep-ph/9912234]
15. T. Banks, A. Casher, Nucl. Phys. B 169, 103 (1980); H. Leutwyler, A. Smilga, Phys. Rev. D 46, 5607 (1992); J. Stern, hep-ph/9801282; S. Descotes-Genon, J. Stern, Phys. Rev. D 62, 054011 (2000) [hep-ph/9912234]
16. T. Banks, A. Casher, Nucl. Phys. B 169, 103 (1980); H. Leutwyler, A. Smilga, Phys. Rev. D 46, 5607 (1992); J. Stern, hep-ph/9801282; S. Descotes-Genon, J. Stern, Phys. Rev. D 62, 054011 (2000) [hep-ph/9912234]
17. S. Descotes-Genon, L. Girlanda, J. Stern, JHEP 0001, 041 (2000) [hep-ph/9910537]
18. L. Girlanda, J. Stern, P. Talavera, Phys. Rev. Lett. 86, 5858 (2001) [hep-ph/0103221]
19. S. Descotes-Genon, L. Girlanda, J. Stern, Eur. Phys. J. C 27, 115 (2003) [hep-ph/0207337]
20. S. Pislak et al. [BNL-E865 Collaboration], Phys. Rev. Lett. 87, 221801 (2001) [hep-ex/0106071]; Phys. Rev. D 67, 072004 (2003) [hep-ex/0301040]
21. S. Pislak et al. [BNL-E865 Collaboration], Phys. Rev. Lett. 87, 221801 (2001) [hep-ex/0106071]; Phys. Rev. D 67, 072004 (2003) [hep-ex/0301040]
22. S. Descotes-Genon, N.H. Fuchs, L. Girlanda, J. Stern, Eur. Phys. J. C 24, 469 (2002) [hep-ph/0112088]
23. J. Bijnens, G. Ecker, J. Gasser, published in 2nd DAPHNE Physics Handbook (125-140), edited by L. Maiani, G. Pancheri, N. Paver [hep-ph/9411232]
24. G. Amoros, J. Bijnens, P. Talavera, Nucl. Phys. B 568, 319 (2000) [hep-ph/9907264]; Nucl. Phys. B 585, 293 (2000) [Erratum B 598, 665 (2001)] [hep-ph/0003258]
25. G. Amoros, J. Bijnens, P. Talavera, Nucl. Phys. B 568, 319 (2000) [hep-ph/9907264]; Nucl. Phys. B 585, 293 (2000) [Erratum B 598, 665 (2001)] [hep-ph/0003258]
26. J. Bijnens, G. Colangelo, P. Talavera, JHEP 9805, 014 (1998) [hep-ph/9805389]; J. Bijnens, P. Dhonte, F. Persson, Nucl. Phys. B 648, 317 (2003) [hep-ph/0205341]
27. J. Bijnens, G. Colangelo, P. Talavera, JHEP 9805, 014 (1998) [hep-ph/9805389]; J. Bijnens, P. Dhonte, F. Persson, Nucl. Phys. B 648, 317 (2003) [hep-ph/0205341]
28. B. Ananthanarayan, P. Büttiker, Eur. Phys. J. C 19, 517 (2001) [hep-ph/0012023]; B. Ananthanarayan, P. Büttiker, B. Moussallam, Eur. Phys. J. C 22, 133 (2001) [hep-ph/0106230]
29. B. Ananthanarayan, P. Büttiker, Eur. Phys. J. C 19, 517 (2001) [hep-ph/0012023]; B. Ananthanarayan, P. Büttiker, B. Moussallam, Eur. Phys. J. C 22, 133 (2001) [hep-ph/0106230]
30. J. Bijnens, P. Dhonte, JHEP 0310, 061 (2003) [hep-ph/0307044]
31. N.H. Fuchs, H. Sazdjian, J. Stern, Phys. Lett. B 269, 183 (1991); J. Stern, H. Sazdjian, N.H. Fuchs, Phys. Rev. D 47, 3814 (1993) [hep-ph/9301244]; M. Knecht, J. Stern, published in 2nd DAPHNE Physics Handbook (169-190), edited by L. Maiani, G. Pancheri, N. Paver [hep-ph/9411253]
32. N.H. Fuchs, H. Sazdjian, J. Stern, Phys. Lett. B 269, 183 (1991); J. Stern, H. Sazdjian, N.H. Fuchs, Phys. Rev. D 47, 3814 (1993) [hep-ph/9301244]; M. Knecht, J. Stern, published in 2nd DAPHNE Physics Handbook (169-190), edited by L. Maiani, G. Pancheri, N. Paver [hep-ph/9411253]
33. N.H. Fuchs, H. Sazdjian, J. Stern, Phys. Lett. B 269, 183 (1991); J. Stern, H. Sazdjian, N.H. Fuchs, Phys. Rev. D 47, 3814 (1993) [hep-ph/9301244]; M. Knecht, J. Stern, published in 2nd DAPHNE Physics Handbook (169-190), edited by L. Maiani, G. Pancheri, N. Paver [hep-ph/9411253]
34. D. Silvia, Data analysis - A Bayesian tutorial (Clarendon Press 1996); G. D'Agostini, Cern Yellow Report, CERN-99-03. Additional references can be found on http://astrosun.tn.cornell.edu/staff/loredo/bayes/; for recent discussions of the Bayesian and frequentist approaches to the determination of CKM-matrix elements, see M. Ciuchini et al., JHEP 0107, 013 (2001) [hep-ph/0012308]; A. Höcker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001) [hep-ph/0104062]
35. D. Silvia, Data analysis - A Bayesian tutorial (Clarendon Press 1996); G. D'Agostini, Cern Yellow Report, CERN-99-03. Additional references can be found on http://astrosun.tn.cornell.edu/staff/loredo/bayes/; for recent discussions of the Bayesian and frequentist approaches to the determination of CKM-matrix elements, see M. Ciuchini et al., JHEP 0107, 013 (2001) [hep-ph/0012308]; A. Höcker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001) [hep-ph/0104062]
36. D. Silvia, Data analysis - A Bayesian tutorial (Clarendon Press 1996); G. D'Agostini, Cern Yellow Report, CERN-99-03. Additional references can be found on http://astrosun.tn.cornell.edu/staff/loredo/bayes/; for recent discussions of the Bayesian and frequentist approaches to the determination of CKM-matrix elements, see M. Ciuchini et al., JHEP 0107, 013 (2001) [hep-ph/0012308]; A. Höcker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001) [hep-ph/0104062]
37. D. Silvia, Data analysis - A Bayesian tutorial (Clarendon Press 1996); G. D'Agostini, Cern Yellow Report, CERN-99-03. Additional references can be found on http://astrosun.tn.cornell.edu/staff/loredo/bayes/; for recent discussions of the Bayesian and frequentist approaches to the determination of CKM-matrix elements, see M. Ciuchini et al., JHEP 0107, 013 (2001) [hep-ph/0012308]; A. Höcker, H. Lacker, S. Laplace, F. Le Diberder, Eur. Phys. J. C 21, 225 (2001) [hep-ph/0104062]
38. J. Bijnens, G. Colangelo, G. Ecker, JHEP 9902, 020 (1999) [hep-ph/9902437]; J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000) [hep-ph/9907333]; J. Bijnens, L. Girlanda, P. Talavera, Eur. Phys. J. C 23, 539 (2002) [hep-ph/0110400]
39. J. Bijnens, G. Colangelo, G. Ecker, JHEP 9902, 020 (1999) [hep-ph/9902437]; J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000) [hep-ph/9907333]; J. Bijnens, L. Girlanda, P. Talavera, Eur. Phys. J. C 23, 539 (2002) [hep-ph/0110400]
40. J. Bijnens, G. Colangelo, G. Ecker, JHEP 9902, 020 (1999) [hep-ph/9902437]; J. Bijnens, G. Colangelo, G. Ecker, Annals Phys. 280, 100 (2000) [hep-ph/9907333]; J. Bijnens, L. Girlanda, P. Talavera, Eur. Phys. J. C 23, 539 (2002) [hep-ph/0110400]
41. M. Knecht, B. Moussallam, J. Stern, N.H. Fuchs, Nucl. Phys. B 457, 513 (1995) [hep-ph/9507319]
42. V. Bernard, N. Kaiser, U.C. Meissner, Nucl. Phys. B 357, 129 (1991); Phys. Rev. D 43, 2757 (1991)
43. V. Bernard, N. Kaiser, U.C. Meissner, Nucl. Phys. B 357, 129 (1991); Phys. Rev. D 43, 2757 (1991)
44. S. Descotes-Genon, N.H. Fuchs, L. Girlanda, J. Stern, in preparation
45. J. Bijnens, Phys. Rept. 265, 369 (1996) [hep-ph/9502335]; G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989)
46. J. Bijnens, Phys. Rept. 265, 369 (1996) [hep-ph/9502335]; G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989)
47. H. Leutwyler, Nucl. Phys. B 337, 108 (1990)
48. L. Girlanda, Phys. Lett. B 513, 103 (2001) [hep-ph/0104270]
49. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rept. 353, 207 (2001) [hep-ph/0005297]
50. D.B. Kaplan, A.V. Manohar, Phys. Rev. Lett. 56, 2004 (1986)
51. G. Colangelo, J. Gasser, H. Leutwyler, Phys. Lett. B 488, 261 (2000) [hep-ph/0007112]; Nucl. Phys. B 603, 125 (2001) [hep-ph/0103088]; Phys. Rev. Lett. 86, 5008 (2001) [hep-ph/0103063]
52. G. Colangelo, J. Gasser, H. Leutwyler, Phys. Lett. B 488, 261 (2000) [hep-ph/0007112]; Nucl. Phys. B 603, 125 (2001) [hep-ph/0103088]; Phys. Rev. Lett. 86, 5008 (2001) [hep-ph/0103063]
53. G. Colangelo, J. Gasser, H. Leutwyler, Phys. Lett. B 488, 261 (2000) [hep-ph/0007112]; Nucl. Phys. B 603, 125 (2001) [hep-ph/0103088]; Phys. Rev. Lett. 86, 5008 (2001) [hep-ph/0103063]
54. P. Büttiker, S. Descotes-Genon, B. Moussallam, hep-ph/0310283
55. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 539 (1985); A.V. Anisovich, H. Leutwyler, Phys. Lett. B 375, 335 (1996) [hep-ph/9601237]; M. Walker, η → 3π, Master Thesis, University of Bern (1998), available on http://www-itp.unibe.ch/research.shtml#diploma; J. Bijnens, J. Gasser, Phys. Scripta T 99, 34 (2002) [hep-ph/0202242]
56. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 539 (1985); A.V. Anisovich, H. Leutwyler, Phys. Lett. B 375, 335 (1996) [hep-ph/9601237]; M. Walker, η → 3π, Master Thesis, University of Bern (1998), available on http://www-itp.unibe.ch/research.shtml#diploma; J. Bijnens, J. Gasser, Phys. Scripta T 99, 34 (2002) [hep-ph/0202242]
57. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 539 (1985); A.V. Anisovich, H. Leutwyler, Phys. Lett. B 375, 335 (1996) [hep-ph/9601237]; M. Walker, η → 3π, Master Thesis, University of Bern (1998), available on http://www-itp.unibe.ch/research.shtml#diploma; J. Bijnens, J. Gasser, Phys. Scripta T 99, 34 (2002) [hep-ph/0202242]
58. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 539 (1985); A.V. Anisovich, H. Leutwyler, Phys. Lett. B 375, 335 (1996) [hep-ph/9601237]; M. Walker, η → 3π, Master Thesis, University of Bern (1998), available on http://www-itp.unibe.ch/research.shtml#diploma; J. Bijnens, J. Gasser, Phys. Scripta T 99, 34 (2002) [hep-ph/0202242]
59. J. Bijnens, J. Prades, E. de Rafael, Phys. Lett. B 348, 226 (1995) [hep-ph/9411285]; S. Narison, hep-ph/0202200
60. J. Bijnens, J. Prades, E. de Rafael, Phys. Lett. B 348, 226 (1995) [hep-ph/9411285]; S. Narison, hep-ph/0202200
61. J. Kambor, K. Maltman, Phys. Rev. D 62, 093023 (2000) [hep-ph/0005156]; Phys. Lett. B 517, 332 (2001) [hep-ph/0107060]
62. J. Kambor, K. Maltman, Phys. Rev. D 62, 093023 (2000) [hep-ph/0005156]; Phys. Lett. B 517, 332 (2001) [hep-ph/0107060]
63. M. Jamin, J.A. Oller, A. Pich, Eur. Phys. J. C 24, 237 (2002) [hep-ph/0110194]
64. M. Jamin, Phys. Lett. B 538, 71 (2002) [hep-ph/0201174]
65. V. Cirigliano, E. Golowich, K. Maltman, Phys. Rev. D 68, 054013 (2003) [hep-ph/0306118]; J.F. Donoghue, E. Golowich, Phys. Lett. B 478, 172 (2000) [hep-ph/9911309]; J. Bijnens, E. Gamiz, J. Prades, JHEP 0110, 009 (2001) [hep-ph/0108240]
66. V. Cirigliano, E. Golowich, K. Maltman, Phys. Rev. D 68, 054013 (2003) [hep-ph/0306118]; J.F. Donoghue, E. Golowich, Phys. Lett. B 478, 172 (2000) [hep-ph/9911309]; J. Bijnens, E. Gamiz, J. Prades, JHEP 0110, 009 (2001) [hep-ph/0108240]
67. V. Cirigliano, E. Golowich, K. Maltman, Phys. Rev. D 68, 054013 (2003) [hep-ph/0306118]; J.F. Donoghue, E. Golowich, Phys. Lett. B 478, 172 (2000) [hep-ph/9911309]; J. Bijnens, E. Gamiz, J. Prades, JHEP 0110, 009 (2001) [hep-ph/0108240]
68. P.H. Ginsparg, K.G. Wilson, Phys. Rev. D 25, 2649 (1982); D.B. Kaplan, Phys. Lett. B 288, 342 (1992) [hep-lat/9206013]; H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]; 427, 353 (1998) [hep-lat/9801031]; M. Lüscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]
69. P.H. Ginsparg, K.G. Wilson, Phys. Rev. D 25, 2649 (1982); D.B. Kaplan, Phys. Lett. B 288, 342 (1992) [hep-lat/9206013]; H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]; 427, 353 (1998) [hep-lat/9801031]; M. Lüscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]
70. P.H. Ginsparg, K.G. Wilson, Phys. Rev. D 25, 2649 (1982); D.B. Kaplan, Phys. Lett. B 288, 342 (1992) [hep-lat/9206013]; H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]; 427, 353 (1998) [hep-lat/9801031]; M. Lüscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]
71. P.H. Ginsparg, K.G. Wilson, Phys. Rev. D 25, 2649 (1982); D.B. Kaplan, Phys. Lett. B 288, 342 (1992) [hep-lat/9206013]; H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]; 427, 353 (1998) [hep-lat/9801031]; M. Lüscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]
72. P.H. Ginsparg, K.G. Wilson, Phys. Rev. D 25, 2649 (1982); D.B. Kaplan, Phys. Lett. B 288, 342 (1992) [hep-lat/9206013]; H. Neuberger, Phys. Lett. B 417, 141 (1998) [hep-lat/9707022]; 427, 353 (1998) [hep-lat/9801031]; M. Lüscher, Phys. Lett. B 428, 342 (1998) [hep-lat/9802011]
73. R. Erezzotti, G.C. Rossi, hep-lat/0306014
74. L. Susskind, Phys. Rev. D 16, 3031 (1977); H.S. Sharatchandra, H.J. Thun, P. Weisz, Nucl. Phys. B 192, 205 (1981); H. Kluberg-Stern, A. Morel, O. Napoly, B. Petersson, Nucl. Phys. B 220, 447 (1983)
75. L. Susskind, Phys. Rev. D 16, 3031 (1977); H.S. Sharatchandra, H.J. Thun, P. Weisz, Nucl. Phys. B 192, 205 (1981); H. Kluberg-Stern, A. Morel, O. Napoly, B. Petersson, Nucl. Phys. B 220, 447 (1983)
76. L. Susskind, Phys. Rev. D 16, 3031 (1977); H.S. Sharatchandra, H.J. Thun, P. Weisz, Nucl. Phys. B 192, 205 (1981); H. Kluberg-Stern, A. Morel, O. Napoly, B. Petersson, Nucl. Phys. B 220, 447 (1983)
77. D.R. Nelson, G.T. Fleming, G.W. Kilcup, Phys. Rev. Lett. 90, 021601 (2003) [hep-lat/0112029]