Resonance contributions to the electromagnetic low energy constants of chiral perturbation theory

Nuclear Physics B

Volumn 499, Issue 1-2, 1997, Pages 319-348

  Baur, Robert ^a   Urech, Res ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031577437     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00348-9     Document Type: Article

References (52)

1. [1] S. Weinberg, Physica A 96 (1979) 327.
2. [2] J. Gasser and H. Leutwyler, Ann. Phys. (NY) 158 (1984) 142; Nucl. Phys. B 250 (1985) 465.
3. [2] J. Gasser and H. Leutwyler, Ann. Phys. (NY) 158 (1984) 142; Nucl. Phys. B 250 (1985) 465.
4. [3] H. Leutwyler, Ann. Phys. (NY) 235 (1994) 165.
5. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
6. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
7. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
8. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
9. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
10. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
11. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
12. [4] For reviews of CHPT see: H. Leutwyler, in Proc. XXVI Int. Conf. on High Energy Physics, Dallas, 1992, ed. J.R. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) p. 185; in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 14; U.-G. Meißner, Rep. Prog. Phys. 56 (1993) 903; J. Bijnens, G. Ecker and J. Gasser, in The Second DaΦne Physics Handbook, ed. L. Maiani, G. Pancheri and N. Paver (SIS, Frascati, 1995) p. 125; G. Ecker, Prog. Part. Nucl. Phys. 35 (1995) 1; Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226); A. Pich, Rep. Prog. Phys. 58 (1995) 563; B.R. Holstein, Chiral Perturbation Theory: A Primer (hep-ph/9510344).
13. [5] G. Ecker, in Chiral Dynamics Workshop, Cambridge (MA), 1994, ed. A.M. Bernstein and B.R. Holstein, Lecture Notes in Physics 452 (Springer, Berlin, 1995) p. 41.
14. [6] G. Ecker, J. Gasser, A. Pich and E.de Rafael, Nucl. Phys. B 321 (1989) 311; G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Phys. Lett. B 223 (1989) 425.
15. [6] G. Ecker, J. Gasser, A. Pich and E.de Rafael, Nucl. Phys. B 321 (1989) 311; G. Ecker, J. Gasser, H. Leutwyler, A. Pich and E. de Rafael, Phys. Lett. B 223 (1989) 425.
16. [7] T. Das, G.S. Guralnik, V.S. Mathur, F.E. Low and J.E. Young, Phys. Rev. Lett. 18 (1967) 759.
17. [8] W.A. Bardeen, J. Bijnens and J.-M. Gérard, Phys. Rev. Lett. 62 (1989) 1343.
18. [9] R. Urech, Nucl. Phys. B 433 (1995) 234.
19. [10] H. Neufeld and H. Rupertsberger, Z. Phys. C 68 (1995) 91.
20. [11] R. Baur, J. Kambor and D. Wyler, Nucl. Phys. B 460 (1996) 127.
21. [12] R. Baur and R. Urech, Phys. Rev. D 53 (1996) 6552.
22. [13] G.'t Hooft, Nucl. Phys. B 72 (1974) 461; E. Witten, Nucl. Phys. B 160 (1979) 57.
23. [13] G.'t Hooft, Nucl. Phys. B 72 (1974) 461; E. Witten, Nucl. Phys. B 160 (1979) 57.
24. [14] R. Dashen, Phys. Rev. 183 (1969) 1245.
25. [15] The different results for the corrections to Dashen's theorem are reviewed, in H. Leutwyler, Phys. Lett. B 378 (1996) 313; G. Ecker, Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226).
26. [15] The different results for the corrections to Dashen's theorem are reviewed, in H. Leutwyler, Phys. Lett. B 378 (1996) 313; G. Ecker, Chiral Perturbation Theory, UWThPh-1996-34 (hep-ph/9608226).
27. [16] D. Toublan, Phys. Rev. D 53 (1996) 6602.
28. [17] J.F. Donoghue, C. Ramirez and G. Valencia, Phys. Rev. D 39 (1989) 1947.
29. [18] S. Weinberg, Phys. Rev. Lett. 18 (1967) 507.
30. [19] E. Jenkins, A. Manohar and M.B. Wise, Phys. Rev. Lett. 75 (1995) 2272.
31. [20] E.G. Floratos, S. Narison and E.de Rafael, Nucl. Phys. B 155 (1979) 115; P. Pascual and E.de Rafael, Z. Phys. C 12 (1982) 127.
32. [20] E.G. Floratos, S. Narison and E.de Rafael, Nucl. Phys. B 155 (1979) 115; P. Pascual and E.de Rafael, Z. Phys. C 12 (1982) 127.
33. [21] K. Huber and H. Neufeld, Phys. Lett. B 357 (1995) 221.
34. [22] A. Bramon, Phys. Lett. B 333 (1994) 153.
35. [23] H. Neufeld and H. Rupertsberger, Z. Phys. C 71 (1996) 131.
36. [24] R. Baur, Ph.D. Thesis, University of Zürich, 1996.
37. [25] A. Manohar and H. Georgi, Nucl. Phys. B 234 (1984) 189.
38. [26] J. Bijnens, Phys. Lett. B 306 (1993) 343.
39. [27] J. Gasser and H. Leutwyler, Phys. Rep. 87 (1982) 77.
40. [28] J.F. Donoghue, B.R. Holstein and D. Wyler, Phys. Rev. D 47 (1993) 2089.
41. [29] S.G. Gorishny, Nucl. Phys. B 319 (1989) 633.
42. [30] S.G. Gorishny and S.A. Larin, Nucl. Phys. B 283 (1987) 452.
43. [31] G.B. Pivovarov and F.V. Tkachov, Int. Journ. Mod. Phys. A 8 (1993) 2241.
44. [32] V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansion (Birkhäuser, Basel, 1991).
45. [32] V.A. Smirnov, Commun. Math. Phys. 134 (1990) 109; Renormalization and Asymptotic Expansion (Birkhäuser, Basel, 1991).
46. [33] V.A. Smirnov, Mod. Phys. Lett. A 10 (1995) 1485.
47. [34] D. Wyler, private communication.
48. [35] J. Bijnens and J. Prades, Electromagnetic Corrections for Pions and Kaons: Masses and Polarizabilites, FTUV/96-69 (hep-ph/9610360).
49. [36] W.A. Bardeen, A.J. Buras and J.-M.Gerard, Nucl. Phys. B293 (1987) 787.
50. 1(1400) and K* (892), NSC/USTC-29/96 (hep-ph/9611297).
51. [38] J.F. Donoghue and A.F. Pérez, The Electromagnetic Mass Differences of Pions and Kaons, UCTP-9-96 (hep-ph/9611331).
52. [39] W.N. Cottingham, Ann. Phys. 25 (1963) 424.