Bilocal expansion of the Borel amplitude and the hadronic tau decay width

Physical Review D

Volumn 64, Issue 1, 2001, Pages

  Cvetič, Gorazd ^a,b   Lee, Taekoon ^a  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; ARTICLE; CONFORMATIONAL TRANSITION; INFRARED RADIATION; POLYMERIZATION; PREDICTION; QUANTUM CHROMODYNAMICS; QUANTUM MECHANICS; RADIATION;

EID: 85038290637     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.64.014030     Document Type: Article

References (75)

1. G. Parisi, Phys. Lett. 76B, 65 (1978); Nucl. Phys. B150, 163 (1979).
2. G. 't Hooft, in The Whys of Subnudear Physics, Erice, 1977, edited by A. Zichichi (Plenum, New York, 1977).
3. F. David, Nucl. Phys. B234, 237 (1984); B263, 637 (1986).
4. A. L. Kataev and V. V. Starshenko, Mod. Phys. Lett. A 10, 235 (1995).
5. M. Beneke and V. M. Braun, Phys. Lett. B 348, 513 (1995);
6. P. Ball, M. Beneke, and V. M. Braun, Nucl. Phys. B452, 563 (1995).
7. M. Neubert, Nucl. Phys. B463, 511 (1996).
8. C. N. Lovett-Turner and C. J. Maxwell, Nucl. Phys. B452, 188
9. T. Lee, Phys. Rev. D 56, 1091 (1997);
10. Phys. Lett. B 462, l (1999).
11. A. H. Mueller, Nucl. Phys. B250, 327 (1985).
12. M. Beneke, Phys. Lett. B 307, 154 (1993).
13. D. Soper and L. R. Surguladze, Phys. Rev. D 54, 4566 (1996).
14. K. G. Chetyrkin, S. G. Gorishny, and V. P. Spiridonov, Phys. Lett. 160B, 149 (1985).
15. E. Braaten, S. Narison, and A. Pich, Nucl. Phys. B373, 581 (1992).
16. A. H. Mueller, Phys. Lett. B 308, 355 (1993).
17. I. Caprini and J. Fischer, Phys. Rev. D 60, 054014 (1999).
18. K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachev, Phys. Lett. 85B, 277 (1979);
19. M. Dine and J. Sapirstein, Phys. Rev. Lett. 43, 668 (1979);
20. W. Celmaster and R. Gonsalves, ibid. 44, 560 (1980).
21. S. G. Gorishny, A. L. Kataev, and S. A. Larin, Phys. Lett. B 259, 144 (1991);
22. L. R. Surguladze and M. A. Samuel, Phys. Rev. Lett. 66, 560 (1991).
23. U. D. Jentschura and G. Soff, J. Phys. A 34, 1451 (2001).
24. George A. Baker, Jr. and Peter Graves-Morris, Fade Approxiniants, Encyclopedia of Mathematics and Its Applications, 2nd ed., Vol. 59, edited by Gian-Carlo Rota (Cambridge University Press, Cambridge, England, 1996).
25. G. Grunberg, Phys. Lett. 95B, 70 (1980); HOB, 501(E) (1982); 114B, 271 (1982); Phys. Rev. D 29, 2315 (1984).
26. >1] N. V. Krasnikov, Nucl. Phys. B192, 497 (1981);
27. A. L. Kataev, N. V. Krasnikov, and A. A. Pivovarov, ibid. B198, 508 (1982).
28. A. Dhar and V. Gupta, Phys. Rev. D 29, 2822 (1984);
29. V. Gupta, D. V. Shirkov, and O. V. Tarasov, Int. J. Mod. Phys. A 6, 3381 (1991).
30. P. M. Stevenson, Phys. Rev. D 23, 2916 (1981).
31. P. M. Stevenson, Phys. Lett. 100B, 61 (1981); Nucl. Phys. B203, 472 (1982).
32. C. S. Lam and T. M. Yan, Phys. Rev. D 16, 703 (1977).
33. K. Schilcher and M. D. Tran, Phys. Rev. D 29, 570 (1984).
34. S. Narison and A. Pich, Phys. Lett. B 211, 183 (1988).
35. E. Braaten, Phys. Rev. Lett. 60, 1606 (1988); Phys. Rev. D 39, 1458 (1989).
36. A. Pich, in Proceedings of the Workshop on Tan Lepton Physics, Orsay, France, 1990, edited by M. Davier and B. Jean-Marie (Edition Frontières, Paris, 1991), p. 321.
37. F. Le Diberder and A. Pich, Phys. Lett. B 286, 147 (1992).
38. A. Pich and J. Prades, J. High Energy Phys. 06, 013 (1998); 10, 004 (1999).
39. W. Marciano and A. Sirlin, Phys. Rev. Lett. 56, 22 (1986); 61, 1815 (1988).
40. E. Braaten and C. S. Li, Phys. Rev. D 42, 3888 (1990).
41. Particle Data Group, D. Groom et al., Eur. Phys. J. C 15, 1 (2000), p. 695.
42. ALEPH Collaboration, R. Barate et al., Eur. Phys. J. C 4, 409 (1998).
43. ALEPH Collaboration, R. Barate et al, Eur. Phys. J. C 11, 599 (1999); 10, 1 (1999).
44. M. Davier, hep-ex/9912044.
45. OPAL Collaboration, G. Abbiendi étal., Eur. Phys. J. C 13, 197 (2000).
46. CLEO Collaboration, S. J. Richichi et al., Phys. Rev. D 60, 112002(1999).
47. M. Davier (private communication); and talk given at the Sixth International Workshop on Tau Lepton Physics (Tau'2000 Workshop), Victoria, Canada, 2000 (http:// tau2000.phys.uvic.ca/).
48. T. van Ritbergen, J. A. M. Vermaseren, and S. A. Larin, Phys. Lett. B 400, 379 (1997).
49. G. Cvetic, Phys. Lett. B 486, 100 (2000);
50. G. Cvetic and R. Kögerler, Phys. Rev. D 63, 056013 (2001).
51. G. Cvetic, Nucl. Phys. B517, 506 (1998);
52. Phys. Rev. D 57, R3209 (1998);
53. G. Cvetic and R. Kögerler, Nucl. Phys. B522, 396 (1998).
54. S. Groote, J. G. Körner, and A. A. Pivovarov, Phys. Lett. B 407, 66 (1997).
55. K. G. Chetyrkin, A. L. Kataev, and F. V. Tkachev, Nucl. Phys. B174, 345 (1980).
56. P. A. Raczka, Phys. Rev. D 57, 6862 (1998).
57. M. Beneke, V. M. Braun, and N. Kivel, Phys. Lett. B 404, 315 (1997).
58. K. G. Chetyrkin, B. A. Kniehl, and M. Steinhauser, Phys. Rev. Lett. 79, 2184 (1997).
59. I. Hinchliffe and A. V. Manohar, Annu. Rev. Nucl. Part. Sci. 50, 643 (2000).
60. S. Bethke, J. Phys. G 26, R27 (2000).
61. B. Chibisov, R. D. Dikeman, M. Shifman, and N. G. Uraltsev, Int. J. Mod. Phys. A 12, 2075 (1997);
62. I. Bigi, M. Shifman, N. Uraltsev, and A. Vainstein, Phys. Rev. D 59, 054011 (1999).
63. K. G. Chetyrkin, S. Narison, and V. I. Zakharov, Nucl. Phys. B550, 353 (1999).
64. S. J. Huber, M. Reuter, and M. G. Schmidt, Phys. Lett. B 462, 158 (1999).
65. C. A. Dominguez and K. Schilcher, Phys. Rev. D 61, 114020 (2000).
66. K. Mailman, Phys. Lett. B 440, 367 (1998).
67. C. A. Dominguez and K. Schilcher, Phys. Lett. B 448, 93 (1999).
68. F. Le Diberder and A. Pich, Phys. Lett. B 289, 165 (1992).
69. S. Groote, J. G. Körner, and A. A. Pivovarov, Mod. Phys. Lett. A 13, 637 (1998).
70. J. G. Körner, F. Krajewski, and A. A. Pivovarov, Phys. Rev. D 63, 036001 (2001).
71. T. G. Steele and V. Elias, Mod. Phys. Lett. A 13, 3151 (1998).
72. J. Ellis, M. Karliner, and M. A. Samuel, Phys. Lett. B 400, 176 (1997); J. Ellis, I. Jack, D. R. T. Jones, M. Karliner, and M. A. Samuel, Phys. Rev. D 57, 2665 (1998).
73. A. L. Kataev and V. V. Starshenko, Phys. Rev. D 52, 402 (1995).
74. K. G. Chetyrkin, B. A. Kniehl, and A. Sirlin, Phys. Lett. B 402, 359 (1997).
75. S. J. Brodsky, G. P. Lepage, and P. B. Mackenzie, Phys. Rev. D 28, 228 (1983).