Conformal string operators and evolution of skewed parton distributions

Nuclear Physics B

Volumn 557, Issue 1-2, 1999, Pages 271-295

  Kivel, N ^a,b   Mankiewicz, L ^a,c  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

^c NICOLAUS COPERNICUS ASTRONOMICAL CENTER   (Poland)

Author keywords

Light cone operators; QCD evolution; Skewed parton distributions

Indexed keywords

EID: 0033588761     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00349-1     Document Type: Article

References (53)

1. X. Ji, J. Phys. G 24 (1181) 1998.
2. P.A.M. Guichon and M. Vanderhaeghen, Prog. Part. Nucl. Phys. 41 (1998) 125.
3. J.A. Crittenden, Exclusive Production of Neutral Vector Mesons at the Electron-positron Collider HERA (Springer, Berlin, 1997) [hep-ex/9704009].
4. G. van der Steenhoven, Future physics with light and heavy nuclei at HERMES, in Proc. Workshop on Future Physics at HERA, ed. G. Ingelman et al., DESY, Hamburg 1996.
5. G. Baum et al., COMPASS Proposal, Report No. CERN-SPSLC-96-14.
6. See, e.g., C. Carlson, Nucl. Phys. A 622 (66c) 1997.
7. J.C. Collins, L.L. Frankfurt and M. Strikman, Phys. Rev. D 56 (2982) 1997.
8. A.V. Radyushkin, Phys. Rev. D 56 (5524) 1997.
9. X. Ji and J. Osborne, Phys. Rev. D 57 (1337) 1998.
10. X. Ji, Phys. Rev. D 55 (7114) 1997
11. P. Hoodbhoy, Phys. Rev. D 56 (388) 1997.
12. L. Mankiewicz, G. Piller and T. Weigl, Eur. J. Phys. C 5 (119) 1998
13. M. Vanderhaeghen, P.A.M. Guichon and M. Guidal, Phys. Rev. Lett. 80 (5064) 1998.
14. L. Mankiewicz, G. Piller and T. Weigl, Phys. Rev. D 59 (017501) 1999.
15. L. Mankiewicz, G. Piller and A. Radyushkin, Hard Exclusive Electroproduction of Pions, hep-ph/9812467.
16. L.L. Frankfurt, P.V. Pobylitsa, M.V. Polyakov and M. Strikman, Hard Exclusive Pseudoscalar Meson Electroproduction and Spin Structure of a Nucleon, hep-ph/9901429.
17. M. Ryskin, Z. Phys. C 57 (89) 1993.
18. S. Brodsky et al., Phys. Rev. D 50 (3134) 1994.
19. A.V. Radyushkin, Symmetries and Structure of Skewed and Double Distributions, hep-ph/9810466.
20. I.I. Balitsky and V.M. Braun, Nucl. Phys. B 311 (541) 1988/89.
21. J. Blümlein, B. Geyer and D. Robaschik, Phys. Lett. B 406 (161) 1997; I. Balitskii and A. Radyushkin, Phys. Lett. B 413 (114) 1997.
22. J. Blümlein, B. Geyer and D. Robaschik, Phys. Lett. B 406 (161) 1997; I. Balitskii and A. Radyushkin, Phys. Lett. B 413 (114) 1997.
23. A.V. Radyushkin, Phys. Rev. D 59 (014030) 1999.
24. L. Frankfurt, A. Freund, V. Guzey and M. Strikman, Phys. Lett. B 418 (345) 1998; B 429 (1998) 414 (E).
25. L. Frankfurt, A. Freund, V. Guzey and M. Strikman, Phys. Lett. B 418 (345) 1998; B 429 (1998) 414 (E).
26. A.V. Belitsky, B. Geyer, D. Muller and A. Schäfer, Phys. Lett. B 421 (312) 1998.
27. A.V. Belitsky, D. Muller, L. Niedermeier and A. Schäfer, Phys. Lett. B 437 (160) 1998; Evolution of Non-forward Parton Distributions in Next-to-leading Order: Singlet Sector, hep-ph/9806232.
28. A.V. Belitsky, D. Muller, L. Niedermeier and A. Schäfer, Phys. Lett. B 437 (160) 1998; Evolution of Non-forward Parton Distributions in Next-to-leading Order: Singlet Sector, hep-ph/9806232.
29. K.J. Golec-Biernat and A.D. Martin, Phys. Rev. D 59 (014029) 1999; K.J. Golec-Biernat, A.D. Martin and M.G. Ryskin, Diagonal Input for the Evolution of off Diagonal Partons, hep-ph/9903327.
30. K.J. Golec-Biernat and A.D. Martin, Phys. Rev. D 59 (014029) 1999; K.J. Golec-Biernat, A.D. Martin and M.G. Ryskin, Diagonal Input for the Evolution of off Diagonal Partons, hep-ph/9903327.
31. A. Shuvaev, Solution of the off Forward Leading Logarithmic Evolution Equation Based on the Gegenbauer Moments Inversion, hep-ph/9902318.
32. A.V. Efremov and A.V. Radyushkin, Theor. Math. Phys. 42 (1980) 97, 147; Phys. Lett. B 94 (245) 1980.
33. A.V. Efremov and A.V. Radyushkin, Theor. Math. Phys. 42 (1980) 97, 147; Phys. Lett. B 94 (245) 1980.
34. M. Chase, Nucl. Phys. B 167 (125) 1980; Nucl. Phys. B 174 (109) 1980; Y.M. Makeenko, Sov. J. Nucl. Phys. 33 (1981) 440; T. Ohrndorf, Nucl. Phys. B 198 (26) 1982.
35. M. Chase, Nucl. Phys. B 167 (125) 1980; Nucl. Phys. B 174 (109) 1980; Y.M. Makeenko, Sov. J. Nucl. Phys. 33 (1981) 440; T. Ohrndorf, Nucl. Phys. B 198 (26) 1982.
36. M. Chase, Nucl. Phys. B 167 (125) 1980; Nucl. Phys. B 174 (109) 1980; Y.M. Makeenko, Sov. J. Nucl. Phys. 33 (1981) 440; T. Ohrndorf, Nucl. Phys. B 198 (26) 1982.
37. M. Chase, Nucl. Phys. B 167 (125) 1980; Nucl. Phys. B 174 (109) 1980; Y.M. Makeenko, Sov. J. Nucl. Phys. 33 (1981) 440; T. Ohrndorf, Nucl. Phys. B 198 (26) 1982.
38. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
39. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
40. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
41. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
42. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
43. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
44. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
45. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
46. V.N. Gribov, B.L. Ioffe and I.Ya. Pomeranchuk, Yad. Fiz. 2 (1965) 768; B.L. Ioffe, JETP Lett. 9 (1969) 163; 10 (1969) 143; Phys. Lett. B 30 (1969) 123; J. Pestieau, P. Roy and H. Terazawa, Phys. Rev. Lett. 25 (1970) 402; V. Del Duca, S.J. Brodsky and P. Hoyer, Phys. Rev. D 46 (931) 1992; V.M. Braun, P. Górnicki and L. Mankiewicz, Phys. Rev. D 51 (6036) 1995; P. Hoyer and M. Vänttinen, Z. Phys. C 74 (113) 1997; M. Vänttinen, G. Piller, L. Mankiewicz, W. Weise and K.J. Eskola, Eur. J. Phys. A 3 (351) 1998.
47. A.V. Belitsky and D. Muller, Phys. Lett. B 417 (129) 1998.
48. A. Erdelyi et al., Higher Transcendental Function, Vol. 2 (McGraw-Hill, New York, 1953).
49. S.J. Brodsky and G.P. Lepage, Phys. Lett. B 87 (379) 1979.
50. L. Mankiewicz and T. Weigl, Phys. Lett. B 380 (134) 1996; B 389 (1996) 334.
51. L. Mankiewicz and T. Weigl, Phys. Lett. B 380 (134) 1996; B 389 (1996) 334.
52. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York 1965).
53. M. Kantorovich and N. Lebedev, ZhETF 8 (1938) 1192.