Two-loop massive operator matrix elements for unpolarized heavy flavor production to O (ε{lunate})

Nuclear Physics B

Volumn 803, Issue 1-2, 2008, Pages 1-41

  Bierenbaum, Isabella ^a   Blümlein, Johannes ^a   Klein, Sebastian ^a   Schneider, Carsten ^b  

^a DESY   (Germany)

^b JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 47849103270     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2008.05.016     Document Type: Article

References (126)

1. Thompson P.D. J. Phys. G 34 (2007) N177. hep-ph/0703103
2. Blümlein J. arXiv: 0706.2430 [hep-ph]
3. Bethke S. Nucl. Phys. B (Proc. Suppl.) 135 (2004) 345. hep-ex/0407021
4. Blümlein J., Böttcher H., and Guffanti A. hep-ph/0607200
5. Laenen E., Riemersma S., Smith J., and van Neerven W.L. Nucl. Phys. B 392 (1993) 162-229
6. Riemersma S., Smith J., and van Neerven W.L. Phys. Lett. B 347 (1995) 143. hep-ph/9411431
7. Alekhin S.I., and Blümlein J. Phys. Lett. B 594 (2004) 299. hep-ph/0404034
8. Buza M., Matiounine Y., Smith J., Migneron R., and van Neerven W.L. Nucl. Phys. B 472 (1996) 611. hep-ph/9601302
9. Bierenbaum I., Blümlein J., and Klein S. Nucl. Phys. B 780 (2007) 40. hep-ph/0703285
10. Blümlein J., De Freitas A., van Neerven W.L., and Klein S. Nucl. Phys. B 755 (2006) 272. hep-ph/0608024
11. Furmanski W., and Petronzio R. Z. Phys. C 11 (1982) 293 and references therein
12. van Neerven W.L., and Zijlstra E.B. Phys. Lett. B 272 (1991) 127
13. Zijlstra E.B., and van Neerven W.L. Phys. Lett. B 273 (1991) 476
14. Zijlstra E.B., and van Neerven W.L. Nucl. Phys. B 383 (1992) 525
15. Larin S.A., and Vermaseren J.A.M. Z. Phys. C 57 (1993) 93
16. Moch S., and Vermaseren J.A.M. Nucl. Phys. B 573 (2000) 853. hep-ph/9912355
17. Larin S.A., van Ritbergen T., and Vermaseren J.A.M. Nucl. Phys. B 427 (1994) 41
18. Larin S.A., Nogueira P., van Ritbergen T., and Vermaseren J.A.M. Nucl. Phys. B 492 (1997) 338. hep-ph/9605317
19. Retey A., and Vermaseren J.A.M. Nucl. Phys. B 604 (2001) 281. hep-ph/0007294
20. Blümlein J., and Vermaseren J.A.M. Phys. Lett. B 606 (2005) 130. hep-ph/0411111
21. Vermaseren J.A.M., Vogt A., and Moch S. Nucl. Phys. B 724 (2005) 3. hep-ph/0504242
22. Witten E. Nucl. Phys. B 104 (1976) 445
23. Babcock J., Sivers D.W., and Wolfram S. Phys. Rev. D 18 (1978) 162
24. Shifman M.A., Vainshtein A.I., and Zakharov V.I. Nucl. Phys. B 136 (1978) 157
25. Shifman M.A., Vainshtein A.I., and Zakharov V.I. Yad. Fiz. 27 (1978) 455
26. Leveille J.P., and Weiler T.J. Nucl. Phys. B 147 (1979) 147
27. Glück M., Hoffmann E., and Reya E. Z. Phys. C 13 (1982) 119
28. Matiounine Y., Smith J., and van Neerven W.L. Phys. Rev. D 57 (1998) 6701. hep-ph/9801224
29. Matiounine Y., Smith J., and van Neerven W.L. Phys. Rev. D 58 (1998) 076002. hep-ph/9803439
30. Vermaseren J.A.M. Int. J. Mod. Phys. A 14 (1999) 2037. hep-ph/9806280
31. Weinzierl S. Comput. Phys. Commun. 145 (2002) 357. math-ph/0201011
32. Moch S.-O., and Uwer P. Comput. Phys. Commun. 174 (2006) 759. math-ph/0508008
33. Schneider C. Ann. Comb. 9 1 (2005) 75
34. Schneider C. Proceedings of ISSAC'05 (2005), ACM Press 285
35. C. Schneider, in: Proceedings of FPSAC'07, 2007, p. 1
36. Schneider C. J. Difference Equ. Appl. 11 9 (2005) 799
37. Schneider C. J. Algebra Appl. 6 3 (2007) 415
38. Schneider C. Sém. Lothar. Combin. 56 (2007) Article B56b
39. C. Schneider, Habilitation Thesis, JKU Linz, 2007
40. Blümlein J., and Kurth S. Phys. Rev. D 60 (1999) 014018. hep-ph/9810241
41. Yndurain F.J. The Theory of Quark and Gluon Interactions (1983), Springer, Berlin
42. R. Hamberg, Second order gluonic contributions to physical quantities, PhD Thesis, Leiden University, Leiden, 1991
43. Drell S.D., and Yan T.M. Ann. Phys. 66 (1971) 578
44. Drell S.D., and Yan T.M. Ann. Phys. 281 (2000) 450
45. Fermi E. Z. Phys. 29 (1924) 315
46. Gross D.J., and Wilczek F. Phys. Rev. D 8 (1973) 3633
47. Gross D.J., and Wilczek F. Phys. Rev. D 9 (1974) 980
48. Georgi H., and Politzer H.D. Phys. Rev. D 9 (1974) 416
49. Blümlein J., and Böttcher H. arXiv: 0802.0408 [hep-ph]
50. Georgi H., and Politzer H.D. Phys. Rev. D 14 (1976) 1829
51. Glück M., and Reya E. Mod. Phys. Lett. A 22 (2007) 351. hep-ph/0608276
52. Buza M., Matiounine Y., Smith J., and van Neerven W.L. Eur. Phys. J. C 1 (1998) 301. hep-ph/9612398
53. I. Bierenbaum, J. Blümlein, S. Klein, in preparation
54. Callan C.G. Phys. Rev. D 2 (1970) 1541
55. Symanzik K. Commun. Math. Phys. 18 (1970) 227
56. Blümlein J. Eur. Phys. J. C 20 (2001) 683. hep-ph/0104099
57. Symanzik K. Commun. Math. Phys. 23 (1971) 49
58. Callan C.G. Phys. Rev. D 5 (1972) 3202
59. Christ N.H., Hasslacher B., and Mueller A.H. Phys. Rev. D 6 (1972) 3543
60. Gross D.J., and Wilczek F. Phys. Rev. Lett. 30 (1973) 1343
61. Politzer H.D. Phys. Rev. Lett. 30 (1973) 1346
62. G. 't Hooft, unpublished
63. Caswell W.E. Phys. Rev. Lett. 33 (1974) 244
64. Jones D.R.T. Nucl. Phys. B 75 (1974) 531
65. Celmaster W., and Gonsalves R.J. Phys. Rev. Lett. 42 (1979) 1435
66. Celmaster W., and Gonsalves R.J. Phys. Rev. D 20 (1979) 1420
67. Abbott L.F. Nucl. Phys. B 185 (1981) 189
68. Rebhan A. Z. Phys. C 30 (1986) 309
69. Jegerlehner F., and Tarasov O.V. Nucl. Phys. B 549 (1999) 481. hep-ph/9809485
70. Nachtmann O., and Wetzel W. Nucl. Phys. B 146 (1978) 273
71. Edwards B.J., and Gottschalk T.D. Nucl. Phys. B 196 (1982) 328
72. Collins J.C., Wilczek F., and Zee A. Phys. Rev. D 18 (1978) 242
73. Ovrut B.A., and Schnitzer H.J. Nucl. Phys. B 179 (1981) 381
74. Ovrut B.A., and Schnitzer H.J. Nucl. Phys. B 189 (1981) 509
75. Bernreuther W., and Wetzel W. Nucl. Phys. B 197 (1982) 228
76. Bernreuther W., and Wetzel W. Nucl. Phys. B 513 (1998) 758 Erratum
77. Bernreuther W. Ann. Phys. 151 (1983) 127
78. Tarrach R. Nucl. Phys. B 183 (1981) 384
79. Nachtmann O., and Wetzel W. Nucl. Phys. B 187 (1981) 333
80. Gray N., Broadhurst D.J., Grafe W., and Schilcher K. Z. Phys. C 48 (1990) 673
81. Broadhurst D.J., Gray N., and Schilcher K. Z. Phys. C 52 (1991) 111
82. Fleischer J., Jegerlehner F., Tarasov O.V., and Veretin O.L. Nucl. Phys. B 539 (1999) 671. hep-ph/9803493
83. Fleischer J., Jegerlehner F., Tarasov O.V., and Veretin O.L. Nucl. Phys. B 571 (2000) 511 Erratum
84. Chetyrkin K.G., and Steinhauser M. Nucl. Phys. B 573 (2000) 617. hep-ph/9911434
85. J. Lagrange, Nouvelles recherches sur la nature et la propagation du son, Miscellanea Taurinensis, t. II, 1760-1761; Oeuvres t. I, p. 263
86. C.F. Gauss, Theoria attractionis corporum sphaeroidicorum ellipticorum homogeneorum methodo novo tractate, Commentationes societas scientiarum Gottingensis recentiores, vol. III, 1813, Werke Bd. V, pp. 5-7
87. G. Green, Essay on the mathematical theory of electricity and magnetism, Nottingham, 1828, Green Papers, pp. 1-115
88. Ostrogradski M. Mem. Ac. Sci. St. Peters 6 (1831) 39
89. Chetyrkin K.G., Kataev A.L., and Tkachov F.V. Nucl. Phys. B 174 (1980) 345
90. Bailey W.N. Generalized Hypergeometric Series (1935), Cambridge Univ. Press, Cambridge
91. Slater L.J. Generalized Hypergeometric Functions (1966), Cambridge Univ. Press, Cambridge
92. C. Schneider, J. Symbolic Comput. (2008), doi:10.1016/j.jsc.2008.01.001
93. Karr M. J. Assoc. Comput. Mach. 28 (1981) 305
94. Goncharov A.B. Math. Res. Lett. 5 (1998) 497
95. Borwein J.M., Bradley D.M., Broadhurst D.J., and Lisonek P. Trans. Am. Math. Soc. 353 (2001) 907. math/9910045
96. Minh H.N., Petitot M., and van der Hoeven J. Discrete Math. 225 (2000) 217
97. Moch S., Uwer P., and Weinzierl S. J. Math. Phys. 43 (2002) 3363. hep-ph/0110083
98. Petkovšek M., Wilf H.S., and Zeilberger D. A = B (1996), A.K. Peters, Wellesley, MA
99. Zeilberger D. J. Symbolic Comput. 11 (1991) 195
100. Bierenbaum I., Blümlein J., Klein S., and Schneider C. arXiv: 0707.4659 [math-ph]
101. Vermaseren J.A.M. math-ph/0010025
102. Blümlein J. Comput. Phys. Commun. 159 (2004) 19. hep-ph/0311046
103. J. Blümlein, DESY 07-042
104. Blümlein J. Comput. Phys. Commun. 133 (2000) 76. hep-ph/0003100
105. Blümlein J., and Moch S.O. Phys. Lett. B 614 (2005) 53. hep-ph/0503188
106. Blümlein J., and Vogt A. Phys. Rev. D 58 (1998) 014020. hep-ph/9712546
107. Barnes E.W. Proc. London Math. Soc. (2) 6 (1908) 141
108. Barnes E.W. Quart. J. Math. 41 (1910) 136
109. Mellin H. Math. Ann. 68 (1910) 305
110. Whittaker E.T., and Watson G.N. A Course of Modern Analysis (1927), Cambridge Univ. Press, Cambridge reprinted 1996
111. Titchmarsh E.C. Introduction to the Theory of Fourier Integrals (1937), Calendron Press, Oxford second edition 1948
112. Bierenbaum I., and Weinzierl S. Eur. Phys. J. C 32 (2003) 67. hep-ph/0308311
113. Bierenbaum I., Blümlein J., and Klein S. Nucl. Phys. B (Proc. Suppl.) 160 (2006) 85. hep-ph/0607300
114. Bierenbaum I., Blumlein J., and Klein S. Nucl. Phys. B (Proc. Suppl.) 174 (2007) 75
115. Bierenbaum I., Blumlein J., and Klein S. Phys. Lett. B 648 (2007) 195. hep-ph/0702265
116. Czakon M. Comput. Phys. Commun. 175 (2006) 559. hep-ph/0511200
117. Djouadi A., and Gambino P. Phys. Rev. D 49 (1994) 3499. hep-ph/9309298
118. Djouadi A., and Gambino P. Phys. Rev. D 53 (1996) 4111 Erratum
119. Blümlein J. Nucl. Phys. B (Proc. Suppl.) 135 (2004) 225. hep-ph/0407044
120. Blümlein J., and Ravindran V. Nucl. Phys. B 749 (2006) 1. hep-ph/0604019
121. Blümlein J., and Ravindran V. Nucl. Phys. B 716 (2005) 128. hep-ph/0501178
122. Dittmar M., et al. hep-ph/0511119
123. J. Blümlein, S. Moch, in preparation
124. Blümlein J., and Klein S. arXiv: 0706.2426 [hep-ph]
125. Steinhauser M. Comput. Phys. Commun. 134 (2001) 335. hep-ph/0009029
126. Vermaseren J.A.M. Comput. Phys. Commun. 83 (1994) 45