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Nuclear Physics B

Volumn 492, Issue 1-2, 1997, Pages 338-378

The 3-loop QCD calculation of the moments of deep inelastic structure functions

(4) Larin, S A a,b Nogueira, P c Van Ritbergen, T a Vermaseren, J A M a

a NIKHEF (Netherlands)

b INSTITUTE FOR NUCLEAR RESEARCH (Russian Federation)

c INSTITUTO SUPERIOR TÉCNICO (Portugal)

Author keywords

Moments of structure functions; Perturbative; QCD; Structure functions

Indexed keywords

EID: 0031565521 PISSN: 05503213 EISSN: None Source Type: Journal
DOI: 10.1016/S0550-3213(97)80038-7 Document Type: Article

Times cited : (269)

References (70)

1
- 25544467102
- [1] D. Gross and F. Wilczek, Phys. Rev. D 8 (1973) 3633; D 9 (1974) 980.
- (1973) Phys. Rev. D , vol.8 , pp. 3633
- Gross, D.¹ Wilczek, F.²

2
- 18044387555
- [1] D. Gross and F. Wilczek, Phys. Rev. D 8 (1973) 3633; D 9 (1974) 980.
- (1974) Phys. Rev. D , vol.9 , pp. 980

3
- 0000487603
- [2] W.A. Bardeen, A.J. Buras, D.W. Duke and T. Muta, Phys. Rev. D 18 (1978) 3998.
- (1978) Phys. Rev. D , vol.18 , pp. 3998
- Bardeen, W.A.¹ Buras, A.J.² Duke, D.W.³ Muta, T.⁴

4
- 0003138786
- [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; B 139 (1978) 545 (E); B 152 (1979) 493.
- (1977) Nucl. Phys. B , vol.129 , pp. 66
- Floratos, E.G.¹ Ross, D.A.² Sachrajda, C.T.³

5
- 0011557329
- [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; B 139 (1978) 545 (E); B 152 (1979) 493.
- (1978) Nucl. Phys. B , vol.139

6
- 33744505609
- [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; B 139 (1978) 545 (E); B 152 (1979) 493.
- (1979) Nucl. Phys. B , vol.152 , pp. 493

7
- 0001660989
- [4] A. Gonzalez-Arroyo, C. Lopez and F.J. Yndurain, Nucl. Phys. B 153 ( 1979) 161; A. Gonzalez-Arroyo and C. Lopez, Nucl. Phys. B 166 (1980) 429; C. Lopez and F.J. Yndurain, Nucl. Phys. B 183 (1981) 157.
- (1979) Nucl. Phys. B , vol.153 , pp. 161
- Gonzalez-Arroyo, A.¹ Lopez, C.² Yndurain, F.J.³

8
- 0001231155
- [4] A. Gonzalez-Arroyo, C. Lopez and F.J. Yndurain, Nucl. Phys. B 153 ( 1979) 161; A. Gonzalez-Arroyo and C. Lopez, Nucl. Phys. B 166 (1980) 429; C. Lopez and F.J. Yndurain, Nucl. Phys. B 183 (1981) 157.
- (1980) Nucl. Phys. B , vol.166 , pp. 429
- Gonzalez-Arroyo, A.¹ Lopez, C.²

9
- 0040787801
- [4] A. Gonzalez-Arroyo, C. Lopez and F.J. Yndurain, Nucl. Phys. B 153 ( 1979) 161; A. Gonzalez-Arroyo and C. Lopez, Nucl. Phys. B 166 (1980) 429; C. Lopez and F.J. Yndurain, Nucl. Phys. B 183 (1981) 157.
- (1981) Nucl. Phys. B , vol.183 , pp. 157
- Lopez, C.¹ Yndurain, F.J.²

10
- 17144393569
- [5] W. Furmansky and R. Petronzio, Phys. Lett. B 97 (1980) 437; G. Curci, W. Furmansky and R. Petronzio, Nucl. Phys. B 175 (1980) 27.
- (1980) Phys. Lett. B , vol.97 , pp. 437
- Furmansky, W.¹ Petronzio, R.²

11
- 84981292463
- [5] W. Furmansky and R. Petronzio, Phys. Lett. B 97 (1980) 437; G. Curci, W. Furmansky and R. Petronzio, Nucl. Phys. B 175 (1980) 27.
- (1980) Nucl. Phys. B , vol.175 , pp. 27
- Curci, G.¹ Furmansky, W.² Petronzio, R.³

12
- 0000852860
- [6] R. Hamberg, W.L. van Neerven, Nucl. Phys. B 379 (1992) 143.
- (1992) Nucl. Phys. B , vol.379 , pp. 143
- Hamberg, R.¹ Van Neerven, W.L.²

13
- 0002407382
- [7] D.W. Duke, J.D. Kimel and G.A. Sowell, Phys. Rev. D 25 (1982) 71; A. Devoto, D.W. Duke, J.D. Kimel and G.A. Sowell, Phys. Rev. D 30 (1985) 541.
- (1982) Phys. Rev. D , vol.25 , pp. 71
- Duke, D.W.¹ Kimel, J.D.² Sowell, G.A.³

14
- 4243946764
- [7] D.W. Duke, J.D. Kimel and G.A. Sowell, Phys. Rev. D 25 (1982) 71; A. Devoto, D.W. Duke, J.D. Kimel and G.A. Sowell, Phys. Rev. D 30 (1985) 541.
- (1985) Phys. Rev. D , vol.30 , pp. 541
- Devoto, A.¹ Duke, D.W.² Kimel, J.D.³ Sowell, G.A.⁴

15
- 0013160761
- [8] D.I. Kazakov and A.B. Kotikov, Nucl. Phys. B 307 (1988) 721; Phys. Lett. B 291 (1992) 171.
- (1988) Nucl. Phys. B , vol.307 , pp. 721
- Kazakov, D.I.¹ Kotikov, A.B.²

16
- 0000148789
- [8] D.I. Kazakov and A.B. Kotikov, Nucl. Phys. B 307 (1988) 721; Phys. Lett. B 291 (1992) 171.
- (1992) Phys. Lett. B , vol.291 , pp. 171

17
- 0000979551
- [9] D.I. Kazakov, A.B. Kotikov, G. Parente, O.A. Sampayo and J. Sanchez Guillen, Phys. Rev. Lett. 65 (1990) 1535; 65 (1990) 2921 (E).
- (1990) Phys. Rev. Lett. , vol.65 , pp. 1535
- Kazakov, D.I.¹ Kotikov, A.B.² Parente, G.³ Sampayo, O.A.⁴ Sanchez Guillen, J.⁵

18
- 4243434388
- [9] D.I. Kazakov, A.B. Kotikov, G. Parente, O.A. Sampayo and J. Sanchez Guillen, Phys. Rev. Lett. 65 (1990) 1535; 65 (1990) 2921 (E).
- (1990) Phys. Rev. Lett. , vol.65

19
- 0001569464
- [10] W.L. van Neerven and E. Zijlstra, Phys. Lett. B 272 (1991) 127; B 273 (1991) 476; Nucl. Phys. B 383 (1992) 525.
- (1991) Phys. Lett. B , vol.272 , pp. 127
- Van Neerven, W.L.¹ Zijlstra, E.²

20
- 0347423505
- [10] W.L. van Neerven and E. Zijlstra, Phys. Lett. B 272 (1991) 127; B 273 (1991) 476; Nucl. Phys. B 383 (1992) 525.
- (1991) Phys. Lett. B , vol.273 , pp. 476

21
- 0042426812
- [10] W.L. van Neerven and E. Zijlstra, Phys. Lett. B 272 (1991) 127; B 273 (1991) 476; Nucl. Phys. B 383 (1992) 525.
- (1992) Nucl. Phys. B , vol.383 , pp. 525

22
- 0002848407
- [11] S.A. Larin and J.A.M. Vermaseren, Z. Phys. C 57 (1993) 93.
- (1993) Z. Phys. C , vol.57 , pp. 93
- Larin, S.A.¹ Vermaseren, J.A.M.²

23
- 0001827874
- [12] S.A. Larin, T. van Ritbergen and J.A.M. Vermaseren, Nucl. Phys. B 427 (1994) 41-52.
- (1994) Nucl. Phys. B , vol.427 , pp. 41-52
- Larin, S.A.¹ Van Ritbergen, T.² Vermaseren, J.A.M.³

24
- 27344459676
- [13] B.L. Ioffe, Phys. Lett. B 30 (1969) 123.
- (1969) Phys. Lett. B , vol.30 , pp. 123
- Ioffe, B.L.¹

25
- 0000451077
- [14] N. Christ, B. Hasslacher and A. Mueller, Phys. Rev. D 6 (1972) 3543.
- (1972) Phys. Rev. D , vol.6 , pp. 3543
- Christ, N.¹ Hasslacher, B.² Mueller, A.³

26
- 35949018645
- [15] A.J. Buras, Rev. Mod. Phys. 52 (1980) 199.
- (1980) Rev. Mod. Phys. , vol.52 , pp. 199
- Buras, A.J.¹

27
- 0000833239
- [16] E. Reya, Phys. Rep. 69 (1981) 195.
- (1981) Phys. Rep. , vol.69 , pp. 195
- Reya, E.¹

28
- 0003787842
- Cambridge University Press, Cambridge
- [17] J.C. Collins, Renormalization (Cambridge University Press, Cambridge, 1987).
- (1987) Renormalization
- Collins, J.C.¹

29
- 26344466565
- [18] O.V. Tarasov, A.A. Vladimirov and A.Yu. Zharkov, Phys. Lett. B 93 (1980) 429; S.A. Larin and J.A.M. Vermaseren, Phys. Lett. B 303 (1993) 334.
- (1980) Phys. Lett. B , vol.93 , pp. 429
- Tarasov, O.V.¹ Vladimirov, A.A.² Zharkov, A.Yu.³

30
- 0000310610
- [18] O.V. Tarasov, A.A. Vladimirov and A.Yu. Zharkov, Phys. Lett. B 93 (1980) 429; S.A. Larin and J.A.M. Vermaseren, Phys. Lett. B 303 (1993) 334.
- (1993) Phys. Lett. B , vol.303 , pp. 334
- Larin, S.A.¹ Vermaseren, J.A.M.²

31
- 0004072618
- Cambridge University Press, Cambridge
- [19] M. Veltman, Diagrammatica (Cambridge University Press, Cambridge, 1994) p. 44.
- (1994) Diagrammatica , pp. 44
- Veltman, M.¹

32
- 0347857821
- [20] G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298; Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675.
- (1977) Nucl. Phys. B , vol.126 , pp. 298
- Altarelli, G.¹ Parisi, G.²

33
- 0347857821
- [20] G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298; Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675.
- (1977) Sov. Phys. JETP , vol.46 , pp. 641
- Dokshitzer, Yu.L.¹

34
- 0347857821
- [20] G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298; Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675.
- (1975) Sov. J. Nucl. Phys. , vol.20 , pp. 94
- Lipatov, L.N.¹

35
- 0347857821
- [20] G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298; Yu.L. Dokshitzer, Sov. Phys. JETP 46 (1977) 641; L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 94; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438, 675.
- (1972) Sov. J. Nucl. Phys. , vol.15 , pp. 438
- Gribov, V.N.¹ Lipatov, L.N.²

36
- 13644284084
- [21] R.K. Ellis, Z. Kunszt and E.M. Levin, Nucl. Phys. B 420 ( 1994) 517.
- (1994) Nucl. Phys. B , vol.420 , pp. 517
- Ellis, R.K.¹ Kunszt, Z.² Levin, E.M.³

37
- 0000133042
- [22] S.G. Gorishny, S.A. Larin and F.V. Tkachov, Phys. Lett. B 124 (1983) 217; S.G. Gorishny and S.A. Larin, Nucl. Phys. B 283 ( 1987) 452.
- (1983) Phys. Lett. B , vol.124 , pp. 217
- Gorishny, S.G.¹ Larin, S.A.² Tkachov, F.V.³

38
- 0011677652
- [22] S.G. Gorishny, S.A. Larin and F.V. Tkachov, Phys. Lett. B 124 (1983) 217; S.G. Gorishny and S.A. Larin, Nucl. Phys. B 283 ( 1987) 452.
- (1987) Nucl. Phys. B , vol.283 , pp. 452
- Gorishny, S.G.¹ Larin, S.A.²

39
- 33745041661
- [23] G.'t Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189.
- (1972) Nucl. Phys. B , vol.44 , pp. 189
- 'T Hooft, G.¹ Veltman, M.²

40
- 28844508625
- [24] G.'t Hooft, Nucl. Phys. B 61 (1973) 455.
- (1973) Nucl. Phys. B , vol.61 , pp. 455
- 'T Hooft, G.¹

41
- 0000921952
- [25] J.C. Collins and R.J. Scalise, Phys. Rev. D 50 (1994) 4117; B.W. Harris and J. Smith, Phys. Rev. D 51 (1995) 4550.
- (1994) Phys. Rev. D , vol.50 , pp. 4117
- Collins, J.C.¹ Scalise, R.J.²

42
- 0000108399
- [25] J.C. Collins and R.J. Scalise, Phys. Rev. D 50 (1994) 4117; B.W. Harris and J. Smith, Phys. Rev. D 51 (1995) 4550.
- (1995) Phys. Rev. D , vol.51 , pp. 4550
- Harris, B.W.¹ Smith, J.²

43
- 18044363279
- [26] H. Kluberg-Stern and J.B. Zuber, Phys. Rev. D 12 (1975) 467; J.C. Collins, A. Duncan and S.D. Joglekar, Phys. Rev. D 16 (1977) 438; V.P. Spiridonov, Preprint INR-P-0378, Moscow, 1984.
- (1975) Phys. Rev. D , vol.12 , pp. 467
- Kluberg-Stern, H.¹ Zuber, J.B.²

44
- 0000318847
- [26] H. Kluberg-Stern and J.B. Zuber, Phys. Rev. D 12 (1975) 467; J.C. Collins, A. Duncan and S.D. Joglekar, Phys. Rev. D 16 (1977) 438; V.P. Spiridonov, Preprint INR-P-0378, Moscow, 1984.
- (1977) Phys. Rev. D , vol.16 , pp. 438
- Collins, J.C.¹ Duncan, A.² Joglekar, S.D.³

45
- 18044363279
- Preprint INR-P-0378, Moscow
- [26] H. Kluberg-Stern and J.B. Zuber, Phys. Rev. D 12 (1975) 467; J.C. Collins, A. Duncan and S.D. Joglekar, Phys. Rev. D 16 (1977) 438; V.P. Spiridonov, Preprint INR-P-0378, Moscow, 1984.
- (1984)
- Spiridonov, V.P.¹

46
- 0000277955
- [27] P. Nogueira, J. Comp. Phys. 105 (1993) 279.
- (1993) J. Comp. Phys. , vol.105 , pp. 279
- Nogueira, P.¹

47
- 0003852924
- published by CAN (Computer Algebra Nederland)
- [28] J.A.M. Vermaseren, Symbolic Manipulation with FORM, published by CAN (Computer Algebra Nederland), 1991.
- (1991) Symbolic Manipulation with FORM
- Vermaseren, J.A.M.¹

48
- 0011002933
- Preprint NIKHEF-H/91-18, Amsterdam
- [29] S.A. Larin, F.V. Tkachov and J.A.M. Vermaseren, Preprint NIKHEF-H/91-18, Amsterdam, 1991.
- (1991)
- Larin, S.A.¹ Tkachov, F.V.² Vermaseren, J.A.M.³

49
- 0002872832
- [30] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
- (1981) Phys. Lett. B , vol.100 , pp. 65
- Tkachov, F.V.¹

50
- 0000312317
- [30] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
- (1981) Nucl. Phys. B , vol.192 , pp. 159
- Chetyrkin, K.G.¹ Tkachov, F.V.²

51
- 0002872832
- [30] F.V. Tkachov, Phys. Lett. B 100 (1981) 65; K.G. Chetyrkin and F.V. Tkachov, Nucl. Phys. B 192 (1981) 159; F.V. Tkachov, Teor. Mat. Fiz. 56 (1983) 350.
- (1983) Teor. Mat. Fiz. , vol.56 , pp. 350
- Tkachov, F.V.¹

52
- 0000847205
- [31] J.A. Gracey, Phys. Lett. B 322 (1994) 141; Pisa AIHENP 1995: 259 (QC45:I5:1995); Nucl. Phys. B 480 (1996) 73.
- (1994) Phys. Lett. B , vol.322 , pp. 141
- Gracey, J.A.¹

53
- 0000847205
- QC45:I5:1995
- [31] J.A. Gracey, Phys. Lett. B 322 (1994) 141; Pisa AIHENP 1995: 259 (QC45:I5:1995); Nucl. Phys. B 480 (1996) 73.
- (1995) Pisa AIHENP , pp. 259

54
- 0000847205
- [31] J.A. Gracey, Phys. Lett. B 322 (1994) 141; Pisa AIHENP 1995: 259 (QC45:I5:1995); Nucl. Phys. B 480 (1996) 73.
- (1996) Nucl. Phys. B , vol.480 , pp. 73

55
- 0001528674
- [32] G. Parente, A.V. Kotikov and V.G. Krivokhizhin, Phys. Lett. B 333 (1994) 190.
- (1994) Phys. Lett. B , vol.333 , pp. 190
- Parente, G.¹ Kotikov, A.V.² Krivokhizhin, V.G.³

56
- 0000260008
- [33] S. Catani and F. Hautmann, Phys. Lett. B 315 (1993) 157.
- (1993) Phys. Lett. B , vol.315 , pp. 157
- Catani, S.¹ Hautmann, F.²

57
- 0042630889
- [34] J. Blümlein and A. Vogt, Phys. Lett. B 370 (1996) 149.
- (1996) Phys. Lett. B , vol.370 , pp. 149
- Blümlein, J.¹ Vogt, A.²

58
- 4243950074
- [35] R. Kirschner and L.N. Lipatov, Nucl. Phys. B 213 (1983) 122.
- (1983) Nucl. Phys. B , vol.213 , pp. 122
- Kirschner, R.¹ Lipatov, L.N.²

59
- 0001723120
- [36] L.N. Lipatov, Sov. J. Nucl. Phys. 23 (1976) 338; E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Sov. Phys. JETP 45 (1977) 199; Ya. Balitskii and L.N. Lipatov, Sov. J. Nucl. Phys. 28 (1978) 822.
- (1976) Sov. J. Nucl. Phys. , vol.23 , pp. 338
- Lipatov, L.N.¹

60
- 0000643662
- [36] L.N. Lipatov, Sov. J. Nucl. Phys. 23 (1976) 338; E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Sov. Phys. JETP 45 (1977) 199; Ya. Balitskii and L.N. Lipatov, Sov. J. Nucl. Phys. 28 (1978) 822.
- (1977) Sov. Phys. JETP , vol.45 , pp. 199
- Kuraev, E.A.¹ Lipatov, L.N.² Fadin, V.S.³

61
- 0000618163
- [36] L.N. Lipatov, Sov. J. Nucl. Phys. 23 (1976) 338; E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Sov. Phys. JETP 45 (1977) 199; Ya. Balitskii and L.N. Lipatov, Sov. J. Nucl. Phys. 28 (1978) 822.
- (1978) Sov. J. Nucl. Phys. , vol.28 , pp. 822
- Balitskii, Ya.¹ Lipatov, L.N.²

62
- 0000767146
- [37] A. Bassetto, M. Ciafaloni and G. Marchesini, Phys. Rep. 100 (1993) 201.
- (1993) Phys. Rep. , vol.100 , pp. 201
- Bassetto, A.¹ Ciafaloni, M.² Marchesini, G.³

63
- 26544432550
- [38] A.D. Martin, W.J. Stirling and R.G. Roberts, Phys. Rev. D 50 (1994) 6734.
- (1994) Phys. Rev. D , vol.50 , pp. 6734
- Martin, A.D.¹ Stirling, W.J.² Roberts, R.G.³

64
- 0000876849
- [39] W. Furmansky and R. Petronzio, Nucl. Phys. B 195 (1982) 237.
- (1982) Nucl. Phys. B , vol.195 , pp. 237
- Furmansky, W.¹ Petronzio, R.²

65
- 0000145309
- [40] G. Parisi, Phys. Lett. B 90 (1980) 295.
- (1980) Phys. Lett. B , vol.90 , pp. 295
- Parisi, G.¹

66
- 0039901037
- [41] G. Sterman, Nucl. Phys. B 281 (1987) 310; D. Appel, G. Sterman and P. Mackenzie, Nucl. Phys. B 309 (1988) 259.
- (1987) Nucl. Phys. B , vol.281 , pp. 310
- Sterman, G.¹

67
- 0001766413
- [41] G. Sterman, Nucl. Phys. B 281 (1987) 310; D. Appel, G. Sterman and P. Mackenzie, Nucl. Phys. B 309 (1988) 259.
- (1988) Nucl. Phys. B , vol.309 , pp. 259
- Appel, D.¹ Sterman, G.² Mackenzie, P.³

68
- 0000568365
- [42] S. Catani and L. Trentadue, Nucl. Phys. B 327 (1989) 323; B 353 (1991) 183.
- (1989) Nucl. Phys. B , vol.327 , pp. 323
- Catani, S.¹ Trentadue, L.²

69
- 4244103927
- [42] S. Catani and L. Trentadue, Nucl. Phys. B 327 (1989) 323; B 353 (1991) 183.
- (1991) Nucl. Phys. B , vol.353 , pp. 183

70
- 4243947152
- [43] E. Laenen, J. Smith, W.L. van Neerven, Nucl. Phys. B 369 (1992) 543.
- (1992) Nucl. Phys. B , vol.369 , pp. 543
- Laenen, E.¹ Smith, J.² Van Neerven, W.L.³

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