The spin-dependent two-loop splitting functions

Nuclear Physics B

Volumn 475, Issue 1-2, 1996, Pages 47-72

  Vogelsang, W ^a  

^a RUTHERFORD APPLETON LABORATORY   (United Kingdom)

Author keywords

Factorization; Light cone gauge; Next to leading order splitting functions; Spin dependent GLAP evolution equations

Indexed keywords

EID: 0030576788     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00306-9     Document Type: Article

References (50)

1. [1] G. Altarelli and G. Parisi, Nucl. Phys. B 126 (1977) 298.
2. [2] Yu. L. Dokshitzer Sov. Phys. JETP 46 (1977) 641; cf. L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 95; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438.
3. [2] Yu. L. Dokshitzer Sov. Phys. JETP 46 (1977) 641; cf. L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 95; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438.
4. [2] Yu. L. Dokshitzer Sov. Phys. JETP 46 (1977) 641; cf. L.N. Lipatov, Sov. J. Nucl. Phys. 20 (1975) 95; V.N. Gribov and L.N. Lipatov, Sov. J. Nucl. Phys. 15 (1972) 438.
5. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
6. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
7. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
8. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
9. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
10. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
11. [3] E.G. Floratos, D.A. Ross and C.T. Sachrajda, Nucl. Phys. B 129 (1977) 66; E: B 139 (1978) 545; Nucl. Phys. B 152 (1979) 493; see also: 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; E.G. Floratos, C. Kounnas and R. Lacaze, Phys. Lett. B 98 (1981) 89,285; Nucl. Phys. B 192 (1981) 417.
12. [4] G. Curci, W. Furmanski and R. Petronzio, Nucl. Phys. B 175 (1980) 27.
13. [5] W. Furmanski and R. Petronzio, Phys. Lett. B 97 (1980) 437.
14. [6] R.K. Ellis, H. Georgi, M. Machacek, H.D. Politzer and G.G. Ross, Phys. Lett. B 78 (1978) 281; Nucl. Phys. B 152 (1979) 285.
15. [6] R.K. Ellis, H. Georgi, M. Machacek, H.D. Politzer and G.G. Ross, Phys. Lett. B 78 (1978) 281; Nucl. Phys. B 152 (1979) 285.
16. [7] R. Hamberg, Ph.D. Thesis, University of Leiden, 1991; R. Hamberg and W. van Neerven, Nucl. Phys. B 379 (1992) 143.
17. [7] R. Hamberg, Ph.D. Thesis, University of Leiden, 1991; R. Hamberg and W. van Neerven, Nucl. Phys. B 379 (1992) 143.
18. [8] R.K. Ellis and W. Vogelsang, CERN-TH/96-50, RAL-TR-96-012, hep-ph/9602356.
19. [9] G. Leibbrandt, Phys. Rev. D 29 (1984) 1699; For an overview see also G. Leibbrandt, Rev. Mod. Phys. 59 (1987) 1067.
20. [9] G. Leibbrandt, Phys. Rev. D 29 (1984) 1699; For an overview see also G. Leibbrandt, Rev. Mod. Phys. 59 (1987) 1067.
21. [10] A. Andrasi and J.C. Taylor, Nucl. Phys. B 310 (1988) 222.
22. [11] W. Vogelsang, Rutherford report, RAL-TR-95-071, hep-ph/9512218, to appear in Phys. Rev. D.
23. [12] R. Mertig and W.L. van Neerven, Z. Phys. C 70 (1996) 637.
24. [13] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11.
25. [13] G. 't Hooft and M. Veltman, Nucl. Phys. B 44 (1972) 189; P. Breitenlohner and D. Maison, Commun. Math. Phys. 52 (1977) 11.
26. [14] J.G. Körner, D. Kreimer and K. Schilcher, Z. Phys. C 54 (1992) 503.
27. [15] S.A. Larin and J.A.M. Vermaseren, Phys. Lett. B 259 (1991) 345; S.A. Larin, Phys. Lett. B 303 (1993) 113.
28. [15] S.A. Larin and J.A.M. Vermaseren, Phys. Lett. B 259 (1991) 345; S.A. Larin, Phys. Lett. B 303 (1993) 113.
29. [16] M. Chanowitz, M. Furman and I. Hinchliffe, Nucl. Phys. B 159 (1979) 225.
30. [17] M. Jamin and M.E. Lautenbacher, Comput. Phys. Commun. 74 (1993) 265.
31. [18] W.L. van Neerven and E.B. Zijlstra, Phys. Lett. B 297 (1992) 377; Nucl. Phys. B 417 (1994) 61; B 426 (1994) 245 (E).
32. [18] W.L. van Neerven and E.B. Zijlstra, Phys. Lett. B 297 (1992) 377; Nucl. Phys. B 417 (1994) 61; B 426 (1994) 245 (E).
33. [18] W.L. van Neerven and E.B. Zijlstra, Phys. Lett. B 297 (1992) 377; Nucl. Phys. B 417 (1994) 61; B 426 (1994) 245 (E).
34. [19] W. Siegel, Phys. Lett. B 84 (1979) 193.
35. [20] G.A. Schuler, S. Sakakibara and J.G. Körner, Phys. Lett. B 194 (1987) 125.
36. [21] J.G. Körner and MM. Tung, Z. Phys. C 64 (1994) 255.
37. [22] Z. Kunszt, A. Signer and Z. Trocsanyi, Nucl. Phys. B 411 (1994) 397.
38. [23] B. Kamal, Phys. Rev. D 53 (1996) 1142.
39. [24] M.A. Ahmed and G.G. Ross, Nucl. Phys. B 111 (1976) 441.
40. [25] R.T. Herrod and S. Wada, Phys. Lett. B 96 (1980) 195.
41. [26] A. Devoto and D.W. Duke, Nuovo Cimento (Riv.) 7 (1984) 1.
42. [27] M. Glück, E. Reya, M. Stratmann and W. Vogelsang, Phys. Rev. D 53 (1996) 4775.
43. [28] M. Stratmann, W. Vogelsang and A. Weber, Phys. Rev. D 53 (1996) 138.
44. [29] J. Kodaira, S. Matsuda, K. Sasaki and T. Uematsu, Nucl. Phys. B 159 (1979) 99.
45. [30] M. Glück and E. Reya, Phys. Rev. D 25 (1982) 1211.
46. [31] A. Weber, Nucl. Phys. B 382 (1992) 63.
47. [32] G. Altarelli and G.G. Ross, Phys. Lett. B 212 (1988) 391; G. Altarelli and W.J. Stirling, Particle World 1 (1989) 40; G. Altarelli and B. Lampe, Z. Phys. C 47 (1990) 315.
48. [32] G. Altarelli and G.G. Ross, Phys. Lett. B 212 (1988) 391; G. Altarelli and W.J. Stirling, Particle World 1 (1989) 40; G. Altarelli and B. Lampe, Z. Phys. C 47 (1990) 315.
49. [32] G. Altarelli and G.G. Ross, Phys. Lett. B 212 (1988) 391; G. Altarelli and W.J. Stirling, Particle World 1 (1989) 40; G. Altarelli and B. Lampe, Z. Phys. C 47 (1990) 315.
50. [33] I. Antoniadis and E.G. Floratos, Nucl. Phys. B 191 (1981) 217.