Abstract
We describe generalized soft factorization theorems and the resulting recurrence relation which we use to derive for the structure function a) the evolution equation for large x, to double logarithms; b) the Lipatov equation for small x, to all collinear logarithms; c) a general initial state branching process and d) an integral equation valid for all values of x.
Research supported in part by the Ministero della Università e della Ricerca Scientifica.
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References
M. Ciafaloni, talk at this meeting.
B.R. Webber, talk at this meeting.
S. Catani, M. Ciafaloni and F. Hautmann, Phys. Lett. 242B (1990) 97; Nucl. Phys. B366 (1991) 135;
J.C. Collins and R.K. Ellis, Nucl. Phys. B360 (1991) 3;
E.M. Levin, M.G. Ryskin, Yu.M. Shabelski and A.G. Shuraev, DESY preprints 91054, 91–065.
V.N. Gribov and L.N. Lipatov, Yad. Fiz. 15 (1972) 781,1218 [Sov. J. Nucl. Phys. 15 (1972) 78];
G. Altarelli and G. Parisi, Nucl. Phys. B126 (1977) 298;
Yu.L. Dokshitzer, Soy. Phys. JETP 73 (1977) 1216.
A. Bassetto, M. Ciafaloni and G. Marchesini, Phys. Rep. 100 (1983) 201;
Yu.L. Dokshitzer, V.A. Khoze, S.I. Troyan and A.H. Mueller, Rev. Mod. Phys. 60 (1988) 373.
L.N. Lipatov, Yad. Fiz. 23 (1976) 642 [Soy. J. Phys. 23 (1976) 338]; E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Zh. Eksp. Teor. Fiz. 72 (1977) 373 [Sov. Phys. JETP 45 (1977) 199]; Ya. Balitskii and L.N. Lipatov, Yad. Fiz. 28 (1978) 1597 [Sov. J. Nucl. Phys. 28 (1978) 822].
L.V. Gribov, E.M. Levin and M.G. Ryskin, Phys. Rep. 100 (1983) 1.
M. Ciafaloni, Nucl. Phys. B296 (1987) 249.
S. Catani, F. Fiorani and G. Marchesini, Phys. Lett. 234B (1990) 339; S. Catani, F. Fiorani and G. Marchesini, Nucl. Phys. B336 (1990) 18.
S. Catani, F. Fiorani, G. Marchesini and G. Oriani, Nucl. Phys. B361 (1991) 645.
G. Marchesini and B.R. Webber, Phys. Lett. 349B (1991) 617.
S. Catani and M. Ciafaloni, Nucl. Phys. B249 (1985) 301; S. Catani, M. Ciafaloni and G. Marchesini, Nucl. Phys. B264 (1986) 558.
D. Amati, A. Bassetto, M. Ciafaloni and G. Veneziano, Nucl. Phys. B173 (1980) 429.
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Marchesini, G. (1992). Structure Function for Large and Small X. In: Cifarelli, L., Dokshitzer, Y. (eds) QCD at 200 TeV. Ettore Majorana International Science Series, vol 60. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3440-2_12
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DOI: https://doi.org/10.1007/978-1-4615-3440-2_12
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