Abstract
It is shown that the next-to-leading order (NLO) corrections to the QCD Pomeron intercept obtained from the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation, when evaluated in non-Abelian physical renormalization schemes with Brodsky-Lepage-Mackenzie (BLM) optimal scale setting, do not exhibit the serious problems encountered in the \(\overline {MS} \) scheme. A striking feature of the NLO BFKL Pomeron intercept in the BLM approach is that it yields an important approximate conformal invariance.
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References
V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, Phys. Lett. B 60, 50 (1975); L. N. Lipatov, Yad. Fiz. 23, 642 (1976) [Sov. J. Nucl. Phys. 23, 338 (1976)]; E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Zh. Éksp. Teor. Fiz. 71, 840 (1976) [Sov. Phys. JETP 44, 443 (1976)]; ibid. 72, 377 (1977)]; [ 45, 199 (1977)]; Ya. Ya. Balitskii and L. N. Lipatov, Yad. Fiz. 28, 1597 (1978) [Sov. J. Nucl. Phys. 28, 822 (1978)].
V. S. Fadin and L. N. Lipatov, Phys. Lett. B 429, 127 (1998).
G. Camici and M. Ciafaloni, Phys. Lett. B 430, 349 (1998).
S. J. Brodsky, G. P. Lepage, and P. B. Mackenzie, Phys. Rev. D 28, 228 (1983).
W. Celmaster and R. J. Gonsalves, Phys. Rev. D 20, 1420 (1979); Phys. Rev. Lett. 42, 1435 (1979); P. Pascual and R. Tarrach, Nucl. Phys. 174, 123 (1980); (E) B 181, 546 (1981).
L. N. Lipatov, Phys. Rep. 286, 131 (1997).
S. J. Brodsky and P. Huet, Phys. Lett. B 417, 145 (1998).
V. N. Gribov, L. N. Lipatov, and G. V. Frolov, Phys. Lett. B 31, 34 (1970); Yad. Fiz. 12, 994 (1970) [Sov. J. Nucl. Phys. 12, 543 (1971)]; H. Cheng and T. T. Wu, Phys. Rev. D 1, 2775 (1970).
P. B. Mackenzie and G. P. Lepage, Phys. Rev. Lett. 47, 1244 (1981).
L. N. Lipatov, Zh. Éksp. Teor. Fiz. 90, 1536 (1986) [Sov. Phys. JETP 63, 904 (1986)]; R. Kirschner and L. Lipatov, Z. Phys. C 45, 477 (1990).
G. Grunberg, Phys. Lett. B 95, 70 (1980); 114, 271 (1982); Phys. Rev. D 29, 2315 (1984).
P. M. Stevenson, Phys. Lett. B 100, 61 (1981); Phys. Rev. D 23, 2916 (1981).
S. J. Brodsky, V. S. Fadin, V. T. Kim et al., in preparation.
V. S. Fadin and L. N. Lipatov, Proceedings of the Theory Institute on Deep Inelastic Diffraction, ANL, Argonne, September 14–16, 1998; G. Salam, J. High Energy Phys. 9807, 019 (1998); B. Andersson, G. Gustafson, and H. Kharraziha, Phys. Rev. D 57, 5543 (1998); J. R. Forshaw, G. P. Salam, and R. S. Thorne, University of Manchester, MC-TH-98/23, 1998, http://xxx.lanl.gov/abs/hep-ph/9812304; M. Ciafaloni and D. Colferai, Phys. Lett. B 452 1999).
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Pis’ma Zh. Éksp. Teor. Fiz. 70, No. 3, 161–166 (10 August 1999)
Published in English in the original Russian journal. Edited by Steve Torstveit.