On the generalized harmonic polylogarithms of one complex variable

Computer Physics Communications

Volumn 182, Issue 6, 2011, Pages 1253-1264

  Bonciani, R ^a   Degrassi, G ^b   Vicini, A ^c  

^a UNIVERSITÉ JOSEPH FOURIER GRENOBLE 1   (France)

^b ROMA TRE UNIVERSITY   (Italy)

^c UNIVERSITY OF MILAN   (Italy)

Author keywords

Feynman diagrams; Harmonic polylogarithms; Higgs physics; Multi loop calculations

Indexed keywords

COMPLEX PLANES; COMPLEX VARIABLE; FEYNMAN DIAGRAMS; HIGGS BOSON; HIGGS PHYSICS; MULTI-LOOP CALCULATIONS; NUMERICAL VALUES; POLYLOGARITHMS; SQUARE ROOTS;

BOSONS; HARMONIC ANALYSIS; TRANSIENTS; TUNGSTEN COMPOUNDS;

QUANTUM THEORY;

EID: 79953725106     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2011.02.011     Document Type: Article

References (64)

1. S. Laporta, and E. Remiddi Phys. Lett. B 379 1996 283 arXiv:hep-ph/9602417
2. S. Laporta Int. J. Mod. Phys. A 15 2000 5087 arXiv:hep-ph/0102033
3. D.I. Kazakov, and A.V. Kotikov Nucl. Phys. B 307 1988 721
4. D.I. Kazakov, and A.V. Kotikov Nucl. Phys. B 345 1990 299 Erratum
5. G. 't Hooft, and M.J.G. Veltman Nucl. Phys. B 44 1972 189
6. F.V. Tkachov Phys. Lett. B 100 1981 65
7. K.G. Chetyrkin, and F.V. Tkachov Nucl. Phys. B 192 1981 159
8. C. Anastasiou, and A. Lazopoulos JHEP 0407 2004 046 arXiv:hep-ph/0404258
9. A.V. Smirnov JHEP 0810 2008 107 arXiv:0807.3243 [hep-ph]
10. C. Studerus Comput. Phys. Commun. 181 2010 1293 arXiv:0912.2546 [physics.comp-ph]
11. A.V. Kotikov Phys. Lett. B 254 1991 158
12. A.V. Kotikov Phys. Lett. B 259 1991 314
13. A.V. Kotikov Phys. Lett. B 267 1991 123
14. E. Remiddi Nuovo Cimento A 110 1997 1435 arXiv:hep-th/9711188
15. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi Acta Phys. Polon. B 29 1998 2627 arXiv:hep-th/9807119
16. M. Caffo, H. Czyz, S. Laporta, and E. Remiddi Nuovo Cimento A 111 1998 365 arXiv:hep-th/9805118
17. T. Gehrmann, and E. Remiddi Nucl. Phys. B 580 2000 485 arXiv:hep-ph/9912329
18. M. Argeri, and P. Mastrolia Int. J. Mod. Phys. A 22 2007 4375 arXiv:0707.4037
19. N.I. Usyukina, and A.I. Davydychev Phys. Atom. Nucl. 56 1993 1553
20. Yad. Fiz. 56 11 1993 172 arXiv:hep-ph/9307327
21. V.A. Smirnov Phys. Lett. B 460 1999 397 arXiv:hep-ph/9905323
22. J.B. Tausk Phys. Lett. B 469 1999 225 arXiv:hep-ph/9909506
23. E. Remiddi, and J.A.M. Vermaseren Int. J. Mod. Phys. A 15 2000 725 arXiv:hep-ph/9905237
24. A. Gonzalez-Arroyo, C. Lopez, and F.J. Yndurain Nucl. Phys. B 153 1979 161
25. A. Gonzalez-Arroyo, and C. Lopez Nucl. Phys. B 166 1980 429
26. J.A.M. Vermaseren Int. J. Mod. Phys. A 14 1999 2037 arXiv:hep-ph/9806280
27. J. Blumlein, and S. Kurth Phys. Rev. D 60 1999 014018 arXiv:hep-ph/9810241
28. J. Blumlein Comput. Phys. Commun. 159 2004 19 arXiv:hep-ph/0311046
29. J. Blumlein, and S.O. Moch Phys. Lett. B 614 2005 53 arXiv:hep-ph/0503188
30. S. Moch, P. Uwer, and S. Weinzierl J. Math. Phys. 43 2002 3363 arXiv:hep-ph/0110083
31. S. Moch, P. Uwer, and S. Weinzierl Phys. Rev. D 66 2002 114001 arXiv:hep-ph/0207043
32. F. Jegerlehner, M.Y. Kalmykov, and O. Veretin Nucl. Phys. B 658 2003 49 arXiv:hep-ph/0212319
33. A.I. Davydychev, and M.Y. Kalmykov Nucl. Phys. B 699 2004 3 arXiv:hep-th/0303162
34. S. Weinzierl J. Math. Phys. 45 2004 2656 arXiv:hep-ph/0402131
35. A.B. Goncharov Math. Res. Lett. 5 1998 497 516
36. U. Aglietti, and R. Bonciani Nucl. Phys. B 698 2004 277 arXiv:hep-ph/0401193
37. T. Gehrmann, and E. Remiddi Nucl. Phys. B 601 2001 248 arXiv:hep-ph/0008287
38. T. Gehrmann, and E. Remiddi Nucl. Phys. B 601 2001 287 arXiv:hep-ph/0101124
39. T.G. Birthwright, E.W.N. Glover, and P. Marquard JHEP 0409 2004 042 arXiv:hep-ph/0407343
40. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij Nucl. Phys. B 681 2004 261 arXiv:hep-ph/0310333
41. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij Nucl. Phys. B 702 2004 364 Erratum
42. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij Nucl. Phys. B 701 2004 121 arXiv:hep-ph/0405275
43. R. Bonciani, A. Ferroglia, P. Mastrolia, E. Remiddi, and J.J. van der Bij Nucl. Phys. B 716 2005 280 arXiv:hep-ph/0411321
44. R. Bonciani, A. Ferroglia, and A.A. Penin Phys. Rev. Lett. 100 2008 131601 arXiv:0710.4775 [hep-ph]
45. R. Bonciani, A. Ferroglia, and A.A. Penin JHEP 0802 2008 080 arXiv:0802.2215 [hep-ph]
46. R. Bonciani, A. Ferroglia, T. Gehrmann, D. Maitre, and C. Studerus JHEP 0807 2008 129 arXiv:0806.2301 [hep-ph]
47. R. Bonciani, A. Ferroglia, T. Gehrmann, and C. Studerus JHEP 0908 2009 067 arXiv:0906.3671 [hep-ph]
48. T. Gehrmann, and E. Remiddi Comput. Phys. Commun. 141 2001 296 arXiv:hep-ph/0107173
49. T. Gehrmann, and E. Remiddi Comput. Phys. Commun. 144 2002 200 arXiv:hep-ph/0111255
50. D. Maître Comput. Phys. Commun. 174 2006 222 arXiv:hep-ph/0507152
51. D. Maître arXiv:hep-ph/0703052
52. J. Vollinga, and S. Weinzierl Comput. Phys. Commun. 167 2005 177 arXiv:hep-ph/0410259
53. U. Aglietti, and R. Bonciani Nucl. Phys. B 668 2003 3 arXiv:hep-ph/0304028
54. U. Aglietti, R. Bonciani, G. Degrassi, and A. Vicini Phys. Lett. B 595 2004 432 arXiv:hep-ph/0404071
55. U. Aglietti, R. Bonciani, G. Degrassi, and A. Vicini Phys. Lett. B 600 2004 57 arXiv:hep-ph/0407162
56. U. Aglietti, R. Bonciani, G. Degrassi, and A. Vicini arXiv:hep-ph/0610033
57. R. Bonciani, P. Mastrolia, and E. Remiddi Nucl. Phys. B 661 2003 289 arXiv:hep-ph/0301170
58. R. Bonciani, P. Mastrolia, and E. Remiddi Nucl. Phys. B 702 2004 359 Erratum
59. R. Bonciani, P. Mastrolia, and E. Remiddi Nucl. Phys. B 676 2004 399 arXiv:hep-ph/0307295
60. R. Bonciani, P. Mastrolia, and E. Remiddi Nucl. Phys. B 690 2004 138 arXiv:hep-ph/0311145
61. G. Degrassi, and F. Maltoni Phys. Lett. B 600 2004 255 arXiv:hep-ph/0407249
62. S. Actis, G. Passarino, C. Sturm, and S. Uccirati Phys. Lett. B 670 2008 12 arXiv:0809.1301 [hep-ph]
63. J.A.M. Vermaseren Symbolic Manipulation with FORM, Version 2 1991 CAN Amsterdam
64. New features of FORM arXiv:math-ph/0010025