All-orders infrared freezing of observables in perturbative QCD

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 1, 2004, Pages

  Howe, D M ^a   Maxwell, C J ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENERGY; FREEZING; INFRARED RADIATION; MATHEMATICAL ANALYSIS; MODEL; PERTURBATION THEORY; PHYSICS; THEORY;

EID: 45849156034     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.014002     Document Type: Article

References (85)

1. D.V. Shirkov and I.L. Solovtsov, JINR Rapid Commun. 2[76]-96, 5 (1996); Phys. Rev. Lett. 79, 1209 (1997).
2. D.V. Shirkov and I.L. Solovtsov, JINR Rapid Commun. 2[76]-96, 5 (1996); Phys. Rev. Lett. 79, 1209 (1997).
3. D.V. Shirkov, Eur. Phys. J. C 22, 331 (2001).
4. A.N. Sissakian and I.L. Solovtsov, Phys. Lett. A 157, 261 (1991); Z. Phys. C 54, (1992); A.N. Sissakian, I.L. Solovtsov, and O. Yu Shevchenko, Int. J. Mod. Phys. A 9, 1929 (1994); A.N. Sissakian and I.L. Solovtsov, Phys. Part. Nucl. 25, 478 (1994).
5. A.N. Sissakian and I.L. Solovtsov, Phys. Lett. A 157, 261 (1991); Z. Phys. C 54, (1992); A.N. Sissakian, I.L. Solovtsov, and O. Yu Shevchenko, Int. J. Mod. Phys. A 9, 1929 (1994); A.N. Sissakian and I.L. Solovtsov, Phys. Part. Nucl. 25, 478 (1994).
6. A.N. Sissakian and I.L. Solovtsov, Phys. Lett. A 157, 261 (1991); Z. Phys. C 54, (1992); A.N. Sissakian, I.L. Solovtsov, and O. Yu Shevchenko, Int. J. Mod. Phys. A 9, 1929 (1994); A.N. Sissakian and I.L. Solovtsov, Phys. Part. Nucl. 25, 478 (1994).
7. A.N. Sissakian and I.L. Solovtsov, Phys. Lett. A 157, 261 (1991); Z. Phys. C 54, (1992); A.N. Sissakian, I.L. Solovtsov, and O. Yu Shevchenko, Int. J. Mod. Phys. A 9, 1929 (1994); A.N. Sissakian and I.L. Solovtsov, Phys. Part. Nucl. 25, 478 (1994).
8. For a review, see M. Beneke, Phys. Rep. 317, 1 (1999).
9. For a review, see M. Beneke and V.M. Braun, in The Boris loffe Festschrift- At the Frontier of Particle Physics/Handbook of QCD, edited by M. Shifman (World Scientific, Singapore, 2001), hep-ph/0010208.
10. E.C. Poggio, H.R. Quinn, and S. Weinberg, Phys. Rev. D 13, 1958 (1976).
11. S.G. Gorishny, A.L. Kataev, and S.A. Larin, Phys. Lett. B 259, 144 (1991); L.R. Surguladze and M.A. Samuel, Phys. Rev. Lett. 66, 560 (1990); 66, 2416(E) (1991).
12. S.G. Gorishny, A.L. Kataev, and S.A. Larin, Phys. Lett. B 259, 144 (1991); L.R. Surguladze and M.A. Samuel, Phys. Rev. Lett. 66, 560 (1990); 66, 2416(E) (1991).
13. S.G. Gorishny, A.L. Kataev, and S.A. Larin, Phys. Lett. B 259, 144 (1991); L.R. Surguladze and M.A. Samuel, Phys. Rev. Lett. 66, 560 (1990); 66, 2416(E) (1991).
14. D.M. Howe and C.J. Maxwell, Phys. Lett. B 541, 129 (2002).
15. C.J. Maxwell and A. Mirjalili, Nucl. Phys. B611, 423 (2001).
16. B.A. Magradze, "The QCD coupling up to third order in standard and analytic perturbation theories," hep-ph/0010070; D.S. Kourashev and B.A. Magradze, Theor. Math. Phys. 135, 531 (2003).
17. B.A. Magradze, "The QCD coupling up to third order in standard and analytic perturbation theories," hep-ph/0010070; D.S. Kourashev and B.A. Magradze, Theor. Math. Phys. 135, 531 (2003).
18. G. Grunberg, Phys. Rev. D 29, 2315 (1984).
19. A.C. Mattingly and P.M. Stevenson, Phys. Rev. D 49, 437 (1994).
20. J. Chyla, A. Kataev, and S. Larin, Phys. Lett. B 267, 269 (1991).
21. A.A. Pivovarov, Sov. J. Nucl. Phys. 54, 676 (1991); Z. Phys. C 53, 461 (1992).
22. A.A. Pivovarov, Sov. J. Nucl. Phys. 54, 676 (1991); Z. Phys. C 53, 461 (1992).
23. F. Le Diberder and A. Pich, Phys. Lett. B 289, 165 (1992).
24. G 't Hooft, in Deeper Pathways in High Energy Physics, proceedings of Orbis Scientiae, 1977, Coral Gables, Florida, edited by A. Perlmutter and L.F. Scott (Plenum, New York, 1977).
25. E. Gardi, G. Grunberg, and M. Karliner, J. High Energy Phys. 07, 007 (1998); M.A. Magradze, Int. J. Mod. Phys. A 15, 2715 (2000).
26. E. Gardi, G. Grunberg, and M. Karliner, J. High Energy Phys. 07, 007 (1998); M.A. Magradze, Int. J. Mod. Phys. A 15, 2715 (2000).
27. R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey, and D.E. Knuth, Adv. Comput. Math. 5, 329 (1996), available from http://www.apmaths.uwo.ca/ ~djeffrey/offprints.html
28. P.M. Stevenson, Phys. Rev. D 23, 2916 (1981).
29. A.J. Buras, E.G. Floratos, D.A. Ross, and C.T. Sachrajda, Nucl. Phys. B131, 308 (1977).
30. M. Beneke, Nucl. Phys. B405, 424 (1993).
31. D.J. Broadhurst, Z. Phys. C 58, 339 (1993).
32. D.J. Broadhurst and A.L. Kataev, Phys. Lett. B 315, 179 (1993).
33. G. Parisi, Nucl. Phys. B150, 163 (1979).
34. A.H. Mueller, Nucl. Phys. B250, 327 (1985).
35. F. David, Nucl. Phys. B234, 237 (1984); B263, 637 (1986).
36. F. David, Nucl. Phys. B234, 237 (1984); B263, 637 (1986).
37. G. Grunberg, Phys. Lett. B 325, 441 (1994).
38. M. Beneke, V.M. Braun, and N. Kivel, Phys. Lett. B 443, 308 (1998).
39. D.J. Broadhurst and A.G. Grozin, Phys. Rev. D 52, 4082 (1995).
40. C.N. Lovett-Turner and C.J. Maxwell, Nucl. Phys. B452, 188 (1995).
41. M. Beneke and V.M. Braun, Phys. Lett. B 348, 513 (1995).
42. P. Ball, M. Beneke, and V.M. Braun, Nucl. Phys. B452, 563 (1995).
43. Stanley J. Brodsky, Einan Gardi, Georges Grunberg, and Johann Rathsman, Phys. Rev. D 63, 094017 (2001).
44. S. Peris and E. de Rafael, Nucl. Phys. B500, 325 (1997).
45. Handbook of Mathematical Functions, ninth ed., edited by Milton Abramowitz and Irene A. Stegan (Dover, New York, 1964), Sec. 5.1, p. 228.
46. M. Beneke, V.M. Braun, and N. Kivel, Phys. Lett. B 404, 315 (1997).
47. C.J. Maxwell and D.G. Tonge, Nucl. Phys. B481, 681 (1996).
48. C.J. Maxwell and D.G. Tonge, Nucl. Phys. B535, 19 (1998).
49. C.J. Maxwell and A. Mirjalili, Nucl. Phys. B577, 209 (2000);
50. S.J. Burby and C.J. Maxwell, ibid. B699, 193 (2001).
51. P.M. Brooks and C.J. Maxwell (in preparation).
52. K.A. Milton, I.L. Solovtsov, and O.P. Solovtsova, Phys. Rev. D 60, 016001 (1999); Phys. Lett. B 439, 421 (1998).
53. K.A. Milton, I.L. Solovtsov, and O.P. Solovtsova, Phys. Rev. D 60, 016001 (1999); Phys. Lett. B 439, 421 (1998).
54. E. Gardi and M. Karliner, Nucl. Phys. B529, 383 (1998).
55. J. Schwinger, Particles, Sources and Fields (Addison-Wesley, New York, 1973), Vol. II, Chap. 5-4.
56. Particle Data Group, K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002).
57. M.R. Whalley, J. Phys. G 29, Al (2003).
58. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
59. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
60. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
61. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
62. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
63. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
64. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
65. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
66. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
67. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
68. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
69. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
70. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
71. OLYA, CMD Collaboration, L.M. Barkov et al., Nucl. Phys. B256, 365 (1985); CMD2 Collaboration, R.R. Akhmetshin et al., hep-ex/9904027; DM2 Collaboration, D. Bisello et al., Phys. Lett. B 220, 321 (1989); ND Collaboration, S.I. Dolinsky et al., Phys. Rep. 202, 99 (1991); CMD2 Collaboration, R.R. Akhmetshin et al., Phys. Lett. B 466, 392 (1999); DM1 Collaboration, A. Cordier et al., Phys. Lett. 81B, 389 (1979); CMD Collaboration, L.M. Barkov et al., Sov. J. Nucl. Phys. 47, 248 (1988); DM2 Collaboration, A. Antonelli et al., Phys. Lett. B 212, 133 (1988); OLYA Collaboration, P.M. Ivanov et al., Phys. Lett. 107B, 297 (1981); DM2 Collaboration, D. Bisello et al., Z. Phys. C 39, 13 (1988); DM2 Collaboration, A. Antonelli et al., ibid. 56, 15 (1992); DM1 Collaboration, A. Cordier et al., Nucl. Phys. B172, 13 (1980); SND Collaboration, M.N. Achasov et al., Phys. Rev. D 66, 032001 (2002); G. Cosme et al., Phys. Lett. 48B, 159 (1974).
72. γγ2 Collaboration, C. Bacci et al., Phys. Lett. 86B, 234 (1979).
73. MEA Collaboration, B. Esposito et al., Lett. Nuovo Cimento Soc. Ital. Fis. 30, 65 (1981).
74. BES Collaboration, J.Z. Bai et al., Phys. Rev. Lett. 88, 101802 (2002).
75. MARK I Collaboration, J. Siegrist et al., Phys. Rev. D 26, 969 (1982).
76. Crystal Ball Collaboration, C. Edwards et al., SLAC-PUB-5160, 1990.
77. MD-1 Collaboration, A.E. Blinov et al., Z. Phys. C 70, 31 (1996).
78. CLEO Collaboration, R. Ammar et al., Phys. Rev. D 57, 1350 (1998).
79. K.A. Milton, I.L. Solovtsov, and O.P. Solovtsova, Phys. Rev. D 65, 076009 (2002); Eur. Phys. J. C 14, 495 (2000).
80. K.A. Milton, I.L. Solovtsov, and O.P. Solovtsova, Phys. Rev. D 65, 076009 (2002); Eur. Phys. J. C 14, 495 (2000).
81. A.D. Martin, J. Outhwaite, and M.G. Ryskin, Eur. Phys. J. C. 19, 681 (2001).
82. S. Eidelman, F. Jegerlehner, A.L. Kataev, and O. Veretin, Phys. Lett. B 454, 364 (1999).
83. - collisions, eds. G. Fedotovich and S. Redin, Novosibirsk 2000, pp. 122-124, hep-ph/9906495.
84. K.A. Milton, I.L. Solovtsov, and O.P. Solovtsova, Eur. Phys. J. C 13, 497 (2000).
85. M. Neubert, hep-ph/9502264 v2.