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Nuclear Physics B

Volumn 718, Issue 1-2, 2005, Pages 276-292

About higher order ε-expansion of some massive two- and three-loop master-integrals

(1) Kalmykov, Mikhail Yu a,b

a BAYLOR UNIVERSITY (United States)

b JOINT INSTITUTE FOR NUCLEAR RESEARCH (Russian Federation)

Author keywords

Feynman diagrams; Higher order expansion; Master integrals

Indexed keywords

EID: 20044379808 PISSN: 05503213 EISSN: None Source Type: Journal
DOI: 10.1016/j.nuclphysb.2005.04.027 Document Type: Article

Times cited : (43)

References (65)

1
- 20044364991
- hep-ph/0412350
- P.A. Baikov K.G. Chetyrkin J.H. Kuhn hep-ph/0412350
- Baikov, P.A.¹ Chetyrkin, K.G.² Kuhn, J.H.³

2
- 20044388251
- hep-ph/0412055
- K.G. Chetyrkin J.H. Kuhn P. Mastrolia C. Sturm hep-ph/0412055
- Chetyrkin, K.G.¹ Kuhn, J.H.² Mastrolia, P.³ Sturm, C.⁴

3
- 0037551371
- Y. Schröder Nucl. Phys. B (Proc. Suppl.) 116 2003 402
- (2003) Nucl. Phys. B (Proc. Suppl.) , vol.116 , pp. 402
- Schröder, Y.¹

4
- 17744402579
- T. van Ritbergen R.G. Stuart Phys. Rev. Lett. 82 1999 488
- (1999) Phys. Rev. Lett. , vol.82 , pp. 488
- van Ritbergen, T.¹ Stuart, R.G.²

5
- 0034627480
- T. van Ritbergen R.G. Stuart Nucl. Phys. B 564 2000 343
- (2000) Nucl. Phys. B , vol.564 , pp. 343
- van Ritbergen, T.¹ Stuart, R.G.²

6
- 20044365712
- AIHENP-99, Heraklion Greece, April 1999 Parisianou S.A. Athens hep-th/ 9905379
- J. Fleischer M.Yu. Kalmykov A.V. Kotikov in: Proceedings of the Workshop, AIHENP-99, Heraklion Greece, April 1999 2000 Parisianou S.A. Athens 231 hep-th/9905379
- (2000) Proceedings of the Workshop , pp. 231
- Fleischer, J.¹ Kalmykov, M.Yu.² Kotikov, A.V.³

7
- 0034205201
- J. Fleischer M.Yu. Kalmykov Comput. Phys. Commun. 128 2000 531
- (2000) Comput. Phys. Commun. , vol.128 , pp. 531
- Fleischer, J.¹ Kalmykov, M.Yu.²

8
- 20044395883
- J. Fleischer M.Yu. Kalmykov http://theor.jinr.ru/~kalmykov/onshell2/onshell2.html
- Fleischer, J.¹ Kalmykov, M.Yu.²

9
- 0030269838
- L.V. Avdeev Comput. Phys. Commun. 98 1996 15
- (1996) Comput. Phys. Commun. , vol.98 , pp. 15
- Avdeev, L.V.¹

10
- 0035280523
- M. Steinhauser Comput. Phys. Commun. 134 2001 335
- (2001) Comput. Phys. Commun. , vol.134 , pp. 335
- Steinhauser, M.¹

11
- 0041686992
- S. Laporta E. Remiddi Phys. Lett. B 379 1996 283
- (1996) Phys. Lett. B , vol.379 , pp. 283
- Laporta, S.¹ Remiddi, E.²

12
- 0034209415
- K. Melnikov T. Ritbergen Phys. Lett. B 482 2000 99
- (2000) Phys. Lett. B , vol.482 , pp. 99
- Melnikov, K.¹ Ritbergen, T.²

13
- 0001565929
- K. Melnikov T. Ritbergen Nucl. Phys. B 591 2000 515
- (2000) Nucl. Phys. B , vol.591 , pp. 515
- Melnikov, K.¹ Ritbergen, T.²

14
- 69649108802
- I. Blokland A. Czarnecki M. Slusarczyk F. Tkachov Phys. Rev. Lett. 93 2004 062001
- (2004) Phys. Rev. Lett. , vol.93 , pp. 062001
- Blokland, I.¹ Czarnecki, A.² Slusarczyk, M.³ Tkachov, F.⁴

15
- 18444405520
- I. Blokland A. Czarnecki M. Slusarczyk F. Tkachov Phys. Rev. D 71 2005 054004
- (2005) Phys. Rev. D , vol.71 , pp. 054004
- Blokland, I.¹ Czarnecki, A.² Slusarczyk, M.³ Tkachov, F.⁴

16
- 15344347462
- Heraklion Greece, April 1999 Parisianou S.A. Athens hep-th/9908032
- A.I. Davydychev in: Proceedings Workshop, AIHENP-99, Heraklion Greece, April 1999 2000 Parisianou S.A. Athens 219 hep-th/9908032
- (2000) Proceedings Workshop, AIHENP-99 , pp. 219
- Davydychev, A.I.¹

17
- 17144365844
- A.I. Davydychev Phys. Rev. D 61 2000 087701
- (2000) Phys. Rev. D , vol.61 , pp. 087701
- Davydychev, A.I.¹

18
- 0035797192
- A.I. Davydychev M.Yu. Kalmykov Nucl. Phys. B 605 2001 266
- (2001) Nucl. Phys. B , vol.605 , pp. 266
- Davydychev, A.I.¹ Kalmykov, M.Yu.²

19
- 33847540228
- K.S. Kölbig J.A. Mignaco E. Remiddi BIT 10 1970 38
- (1970) BIT , vol.10 , pp. 38
- Kölbig, K.S.¹ Mignaco, J.A.² Remiddi, E.³

20
- 51249190659
- R. Barbieri J.A. Mignaco E. Remiddi Nuovo Cimento A 11 1972 824
- (1972) Nuovo Cimento A , vol.11 , pp. 824
- Barbieri, R.¹ Mignaco, J.A.² Remiddi, E.³

21
- 51249183569
- A. Devoto D.W. Duke Riv. Nuovo Cimento 7 6 1984 1
- (1984) Riv. Nuovo Cimento , vol.7 , Issue.6 , pp. 1
- Devoto, A.¹ Duke, D.W.²

22
- 0000216244
- K.S. Kölbig SIAM J. Math. Anal. 17 1986 1232
- (1986) SIAM J. Math. Anal. , vol.17 , pp. 1232
- Kölbig, K.S.¹

23
- 0010806732
- D.J. Broadhurst Z. Phys. C 54 1992 599
- (1992) Z. Phys. C , vol.54 , pp. 599
- Broadhurst, D.J.¹

24
- 20044379149
- hep-th/9604128
- D.J. Broadhurst hep-th/9604128
- Broadhurst, D.J.¹

25
- 0000377345
- D.J. Broadhurst Eur. Phys. J. C 8 1999 311
- (1999) Eur. Phys. J. C , vol.8 , pp. 311
- Broadhurst, D.J.¹

26
- 0033576458
- J. Fleischer M.Yu. Kalmykov Phys. Lett. B 470 1999 168
- (1999) Phys. Lett. B , vol.470 , pp. 168
- Fleischer, J.¹ Kalmykov, M.Yu.²

27
- 0034621078
- K.G. Chetyrkin M. Steinhauser Nucl. Phys. B 573 2000 617
- (2000) Nucl. Phys. B , vol.573 , pp. 617
- Chetyrkin, K.G.¹ Steinhauser, M.²

28
- 0034659038
- M.Yu. Kalmykov O. Veretin Phys. Lett. B 483 2000 315
- (2000) Phys. Lett. B , vol.483 , pp. 315
- Kalmykov, M.Yu.¹ Veretin, O.²

29
- 0034736523
- S. Laporta Int. J. Mod. Phys. A 15 2000 5087
- (2000) Int. J. Mod. Phys. A , vol.15 , pp. 5087
- Laporta, S.¹

30
- 0035810304
- S. Laporta Phys. Lett. B 504 2001 188
- (2001) Phys. Lett. B , vol.504 , pp. 188
- Laporta, S.¹

31
- 0037191827
- S. Laporta Phys. Lett. B 549 2002 115
- (2002) Phys. Lett. B , vol.549 , pp. 115
- Laporta, S.¹

32
- 20044395531
- hep-ph/0311323
- Y. Schroder A. Vuorinen hep-ph/0311323
- Schroder, Y.¹ Vuorinen, A.²

33
- 20044388657
- hep-ph/0503209
- Y. Schroder A. Vuorinen hep-ph/0503209
- Schroder, Y.¹ Vuorinen, A.²

34
- 0035924189
- S. Laporta Phys. Lett. B 523 2001 95
- (2001) Phys. Lett. B , vol.523 , pp. 95
- Laporta, S.¹

35
- 20044383309
- Y. Kurihara, (Ed.) Tokyo, Japan, November KEK Proceedings 2002-11 hep-th/ 0203212
- A.I. Davydychev M.Yu. Kalmykov in: Y. Kurihara, (Ed.), Proceedings of 2th CPP Symposium, Tokyo, Japan, November, 2001, KEK Proceedings 2002-11, p. 169 hep-th/0203212
- (2001) Proceedings of 2th CPP Symposium , pp. 169
- Davydychev, A.I.¹ Kalmykov, M.Yu.²

36
- 0004290158
- Amsterdam: North-Holland
- L. Lewin Polylogarithms and Associated Functions 1981 North-Holland Amsterdam
- (1981) Polylogarithms and Associated Functions
- Lewin, L.¹

37
- 33745041661
- G. 't Hooft M. Veltman Nucl. Phys. B 44 1972 189
- (1972) Nucl. Phys. B , vol.44 , pp. 189
- 't Hooft, G.¹ Veltman, M.²

38
- 0002672599
- C.G. Bollini J.J. Giambiagi Nuovo Cimento 12B 1972 20
- (1972) Nuovo Cimento , vol.12 B , pp. 20
- Bollini, C.G.¹ Giambiagi, J.J.²

39
- 33745011779
- J.F. Ashmore Lett. Nuovo Cimento 4 1972 289
- (1972) Lett. Nuovo Cimento , vol.4 , pp. 289
- Ashmore, J.F.¹

40
- 51249190847
- G.M. Cicuta E. Montaldi Lett. Nuovo Cimento 4 1972 329
- (1972) Lett. Nuovo Cimento , vol.4 , pp. 329
- Cicuta, G.M.¹ Montaldi, E.²

41
- 0344196689
- F. Jegerlehner M.Yu. Kalmykov Nucl. Phys. B 676 2004 365
- (2004) Nucl. Phys. B , vol.676 , pp. 365
- Jegerlehner, F.¹ Kalmykov, M.Yu.²

42
- 0346998445
- F. Jegerlehner M.Yu. Kalmykov Acta Phys. Pol. B 34 2003 5335
- (2003) Acta Phys. Pol. B , vol.34 , pp. 5335
- Jegerlehner, F.¹ Kalmykov, M.Yu.²

43
- 0042910977
- A.V. Kotikov Phys. Lett. B 254 1991 158
- (1991) Phys. Lett. B , vol.254 , pp. 158
- Kotikov, A.V.¹

44
- 0542448411
- A.V. Kotikov Phys. Lett. B 259 1991 314
- (1991) Phys. Lett. B , vol.259 , pp. 314
- Kotikov, A.V.¹

45
- 0042410077
- A.V. Kotikov Phys. Lett. B 267 1991 123
- (1991) Phys. Lett. B , vol.267 , pp. 123
- Kotikov, A.V.¹

46
- 0032348904
- A.I. Davydychev R. Delbourgo J. Math. Phys. 39 1998 4299
- (1998) J. Math. Phys. , vol.39 , pp. 4299
- Davydychev, A.I.¹ Delbourgo, R.²

47
- 0000776807
- A.I. Davydychev J.B. Tausk Nucl. Phys. B 397 1993 123
- (1993) Nucl. Phys. B , vol.397 , pp. 123
- Davydychev, A.I.¹ Tausk, J.B.²

48
- 0001677138
- A.I. Davydychev J.B. Tausk Phys. Rev. D 53 1996 7381
- (1996) Phys. Rev. D , vol.53 , pp. 7381
- Davydychev, A.I.¹ Tausk, J.B.²

49
- 0037013671
- M. Argeri P. Mastrolia E. Remiddi Nucl. Phys. B 631 2002 388
- (2002) Nucl. Phys. B , vol.631 , pp. 388
- Argeri, M.¹ Mastrolia, P.² Remiddi, E.³

50
- 15344347616
- A.I. Davydychev M.Yu. Kalmykov Nucl. Phys. B 699 2004 3
- (2004) Nucl. Phys. B , vol.699 , pp. 3
- Davydychev, A.I.¹ Kalmykov, M.Yu.²

51
- 0001572516
- J. Fleischer M.Yu. Kalmykov A.V. Kotikov Phys. Lett. B 462 1999 169
- (1999) Phys. Lett. B , vol.462 , pp. 169
- Fleischer, J.¹ Kalmykov, M.Yu.² Kotikov, A.V.³

52
- 0000524732
- Erratum
- J. Fleischer M.Yu. Kalmykov A.V. Kotikov Phys. Lett. B 467 1999 310 Erratum
- (1999) Phys. Lett. B , vol.467 , pp. 310
- Fleischer, J.¹ Kalmykov, M.Yu.² Kotikov, A.V.³

53
- 19244381544
- A.I. Davydychev M.Yu. Kalmykov Nucl. Phys. B (Proc. Suppl.) 89 2000 283
- (2000) Nucl. Phys. B (Proc. Suppl.) , vol.89 , pp. 283
- Davydychev, A.I.¹ Kalmykov, M.Yu.²

54
- 0034688576
- E. Remiddi J.A.M. Vermaseren Int. J. Mod. Phys. A 15 2000 725
- (2000) Int. J. Mod. Phys. A , vol.15 , pp. 725
- Remiddi, E.¹ Vermaseren, J.A.M.²

55
- 5444244485
- M.Yu. Kalmykov Nucl. Phys. B (Proc. Suppl.) 135 2004 280
- (2004) Nucl. Phys. B (Proc. Suppl.) , vol.135 , pp. 280
- Kalmykov, M.Yu.¹

56
- 0003997424
- Berlin: Springer
- V.A. Smirnov Applied Asymptotic Expansions in Momenta and Masses 2002 Springer Berlin
- (2002) Applied Asymptotic Expansions in Momenta and Masses
- Smirnov, V.A.¹

57
- 0031118303
- L.V. Avdeev J. Fleischer M.Yu. Kalmykov M.N. Tentyukov Nucl. Instrum. Methods A 389 1997 343
- (1997) Nucl. Instrum. Methods A , vol.389 , pp. 343
- Avdeev, L.V.¹ Fleischer, J.² Kalmykov, M.Yu.³ Tentyukov, M.N.⁴

58
- 0031357967
- L.V. Avdeev J. Fleischer M.Yu. Kalmykov M.N. Tentyukov Comput. Phys. Commun. 107 1997 155
- (1997) Comput. Phys. Commun. , vol.107 , pp. 155
- Avdeev, L.V.¹ Fleischer, J.² Kalmykov, M.Yu.³ Tentyukov, M.N.⁴

59
- 0031590214
- L.V. Avdeev M.Yu. Kalmykov Nucl. Phys. B 502 1997 419
- (1997) Nucl. Phys. B , vol.502 , pp. 419
- Avdeev, L.V.¹ Kalmykov, M.Yu.²

60
- 0036004518
- hep-th/0203143
- J.M. Chung B.K. Chung J. Korean Phys. Soc. 40 2002 435 hep-th/0203143
- (2002) J. Korean Phys. Soc. , vol.40 , pp. 435
- Chung, J.M.¹ Chung, B.K.²

61
- 20044362500
- RNR Technical Report, RNR-91-032
- H.R.P. Ferguson, D.H. Bailey, RNR Technical Report, RNR-91-032, 1991
- (1991)
- Ferguson, H.R.P.¹ Bailey, D.H.²

62
- 0038932650
- H.R.P. Ferguson D.H. Bailey S. Arno Math. Comput. 68 1999 351
- (1999) Math. Comput. , vol.68 , pp. 351
- Ferguson, H.R.P.¹ Bailey, D.H.² Arno, S.³

63
- 0003951026
- D.H. Bailey Comput. Sci. Engrg. 2 1 2000 24
- (2000) Comput. Sci. Engrg. , vol.2 , Issue.1 , pp. 24
- Bailey, D.H.¹

64
- 0003852924
- Amsterdam: Computer Algebra Nederland
- J.A.M. Vermaseren Symbolic Manipulation with FORM 1991 Computer Algebra Nederland Amsterdam
- (1991) Symbolic Manipulation With FORM
- Vermaseren, J.A.M.¹

65
- 20044367212
- hep-ph/0411100
- M.Yu. Kalmykov A. Sheplyakov hep-ph/0411100
- Kalmykov, M.Yu.¹ Sheplyakov, A.²

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