Laurent series expansion of sunrise-type diagrams using configuration space techniques

European Physical Journal C

Volumn 36, Issue 4, 2004, Pages 471-482

  Groote, S ^a,b   Korner J G ^a   Pivovarov, A A ^a,c  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

^b Tartu Ülikool ^*  (Estonia)

^c INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20444388331     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjc/s2004-01974-2     Document Type: Article

References (82)

1. P. Langacker (ed.), Precision Tests of the Standard Electroweak Model (World Scientific, 1995)
2. W. Hollik, The electroweak Standard Model, prepared for the ICTP Summer School in Particle Physics, Trieste, Italy, 21 June-9 July 1999
3. J. Blümlein, F. Jegerlehner, T. Riemann, W. Hollik, J.H. Kühn, Application Of Quantum Field Theory To Phenomenology - Loops And Legs In Quantum Field Theory, Proceedings of the 6th International Symposium, Radcor 2002, and the 6th Zeuthen Workshop, Kloster Banz, Germany, September 8-13, 2002
4. J.G. Körner, A.I. Onishchenko, A.A. Petrov, A.A. Pivovarov, Phys. Rev. Lett. 91, 192002 (2003);
5. J.H. Kühn, A.I. Onishchenko, A.A. Pivovarov, O.L. Veretin, Phys. Rev. D 68, 033018 (2003);
6. S. Groote, J.G. Körner, A.A. Pivovarov, Eur. Phys. J. C 24, 393 (2002)
7. K.G. Chetyrkin, F.V. Tkachov, Nucl. Phys. B 192, 159 (1981);
8. F.V. Tkachov, Phys. Lett. B 100, 65 (1981)
9. D.J. Broadhurst, Z. Phys. C 54, 599 (1992)
10. P.A. Baikov, Phys. Lett. B 385, 404 (1996)
11. K.G. Chetyrkin, J.H. Kühn, M. Steinhauser, Nucl. Phys. B 482, 213 (1996)
12. S. Laporta, E. Remiddi, Phys. Lett. B 379, 283 (1996)
13. O.V. Tarasov, Nucl. Phys. B 502, 455 (1997)
14. T. Gehrmann, E. Remiddi, Nucl. Phys. B 580, 485 (2000)
15. K. Melnikov, T. van Ritbergen, Nucl. Phys. B 591, 515 (2000)
16. S. Laporta, Int. J. Mod. Phys. A 15, 5087 (2000)
17. A.G. Grozin, Nucl. Instrum. Meth. A 502, 610 (2003)
18. C.S. Meijer, Proc. Amsterdam Akad. Wet. 599, 702 (1940)
19. B. Almgren, Arkiv för Fysik 38, 161 (1967);
20. S. Bauberger, F.A. Berends, M. Böhm, M. Buza, Nucl. Phys. B 434, 383 (1995)
21. E. Mendels, Nuovo Cim. A 45, 87 (1978)
22. L.V. Avdeev, Comput. Phys. Commun. 98, 15 (1996)
23. S. Groote, J.G. Körner, A.A. Pivovarov, Phys. Rev. D 60, 061701 (1999)
24. Y. Schröder, Nucl. Phys. Proc. Suppl. 116, 402 (2003)
25. S.A. Larin, V.A. Matveev, A.A. Ovchinnikov, A.A. Pivovarov, Yad. Fiz. 44, 1066 (1986);
26. I.I. Balitsky, D. Diakonov, A.V. Yung, Phys. Lett. B 112, 71 (1982);
27. K.G. Chetyrkin, S. Narison, Phys. Lett. B 485, 145 (2000);
28. H.Y. Jin, J.G. Körner, T.G. Steele, Phys. Rev. D 67, 014025 (2003)
29. T. Sakai, K. Shimizu, K. Yazaki, Prog. Theor. Phys. Suppl. 137, 121 (2000)
30. S. Groote, A.A. Pivovarov, Eur. Phys. J. C 21, 133 (2001);
31. JETP Lett. 75, 221 (2002)
32. A.A. Ovchinnikov, A.A. Pivovarov, L.R. Surguladze, Sov. J. Nucl. Phys. 48, 358 (1988);
33. Int. J. Mod. Phys. A 6, 2025 (1991);
34. S. Groote, J.G. Körner, A.A. Pivovarov, Phys. Rev. D 61, 071501 (2000); Analytical calculation of heavy baryon correlators in NLO of perturbative QCD, in Batavia 2000, Advanced computing and analysis technique in physics research 277-279 [hep-ph/0009218]
35. S. Narison, A.A. Pivovarov, Phys. Lett. B 327, 341 (1994)
36. S.R. Coleman, E. Weinberg, Phys. Rev. D 7, 1888 (1973);
37. R. Jackiw, Phys. Rev. D 9, 1686 (1974);
38. R. Jackiw, S. Templeton, Phys. Rev. D 23, 2291 (1981);
39. J.M. Chung, B.K. Chung, J. Korean Phys. Soc. 39, 971 (2001);
40. Phys. Rev. D 59, 105014 (1999)
41. D.J. Gross, R.D. Pisarski, L.G. Yaffe, Rev. Mod. Phys. 53, 43 (1981);
42. T. Appelquist, R.D. Pisarski, Phys. Rev. D 23, 2305 (1981);
43. T. Hatsuda, Nucl. Phys. A 544, 27 (1992)
44. J.O. Andersen, E. Braaten, M. Strickland, Phys. Rev. D 62, 045004 (2000)
45. T. Nishikawa, O. Morimatsu, Y. Hidaka, Phys. Rev. D 68, 076002 (2003)
46. A.K. Rajantie, Nucl. Phys. B 480, 729 (1996) [Erratum B 513, 761 (1998)]
47. L. Platter, H.W. Hammer, U.G. Meissner, Nucl. Phys. A 714, 250 (2003);
48. J.F. Yang, J. Zhou, C. Wu, Commun. Theor. Phys. 40, 461 (2003);
49. H. Van Hees, J. Knoll, Phys. Rev. D 65, 105005 (2002);
50. C. Felline, N.P. Mehta, J. Piekarewicz, J.R. Shepard, Phys. Rev. C 68, 034003 (2003)
51. E. Witten, Nucl. Phys. B 160, 57 (1979)
52. K. Kajantie, M. Laine, K. Rummukainen, Y. Schröder, JHEP 0304, 036 (2003)
53. P. Post, K. Schilcher, Phys. Rev. Lett. 79, 4088 (1997)
54. P. Post, J.B. Tausk, Mod. Phys. Lett. A 11, 2115 (1996)
55. J. Gasser, M.E. Sainio, Eur. Phys. J. C 6, 297 (1999)
56. R. Delbourgo, M.L. Roberts, J. Phys. A 36, 1719 (2003)
57. A. Bashir, R. Delbourgo, M.L. Roberts, J. Math. Phys. 42, 5553 (2001)
58. N.E. Ligterink, Phys. Rev. D 61, 105010 (2000);
59. B. Kastening, H. Kleinert, Phys. Lett. A 269, 50 (2000)
60. A.I. Davydychev, V.A. Smirnov, Nucl. Phys. B 554, 391 (1999)
61. E. Mendels, J. Math. Phys. 43, 3011 (2002)
62. M. Caffo, H. Czyż, E. Remiddi, Nucl. Phys. B 634, 309 (2002);
63. Nucl. Phys. Proc. Suppl. 116, 422 (2003)
64. I. Bierenbaum, S. Weinzierl, Eur. Phys. J. C 32, 67 (2003)
65. S. Laporta, Phys. Lett. B 549, 115 (2002)
66. G. Passarino, Nucl. Phys. B 619, 257 (2001)
67. S. Groote, J.G. Körner, A.A. Pivovarov, Phys. Lett. B 443, 269 (1998)
68. S. Groote, J.G. Körner, A.A. Pivovarov, Nucl. Phys. B 542, 515 (1999)
69. S. Groote, A.A. Pivovarov, Nucl. Phys. B 580, 459 (2000)
70. G.N. Watson, Theory of Bessel functions (Cambridge, 1944)
71. K.G. Chetyrkin, A.L. Kataev, F.V. Tkachov, Nucl. Phys. B 174, 345 (1980)
72. A.E. Terrano, Phys. Lett. B 93, 424 (1980)
73. N.N. Bogoliubov, D.V. Shirkov, Quantum fields (Benjamin, 1983)
74. A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series, Vol. 2 (Gordon and Breach, New York 1990)
75. I.S. Gradshteyn, I.M. Ryzhik, Tables of integrals, series, and products (Academic Press, 1994)
76. E. Braaten, A. Nieto, Phys. Rev. D 51, 6990 (1995)
77. S. Groote, J.G. Körner, A.A. Pivovarov, Eur. Phys. J. C 11, 279 (1999)
78. A.I. Davydychev, M.Y. Kalmykov, Nucl. Phys. B 605, 266 (2001)
79. A.T. Suzuki, A.G.M. Schmidt, ε-expansion for non-planar double-boxes, hep-ph/0401207
80. A.P. Isaev, Nucl. Phys. B 662, 461 (2003);
81. S.G. Gorishnii, A.P. Isaev, Theor. Math. Phys. 62, 232 (1985)
82. [Teor. Mat. Fiz. 62, 345 (1985)]