TY - JOUR

T1 - Renormalons at low x

AU - Levin, Eugene

N1 - Funding Information:
We would like to thank M. Braun for valuable discussions on the subject as well as for sending us his paper \[1 2\] before publication. We are grateful to all participants of the High Energy Seminar at Tel Aviv University and at the LAFEX,CBPF and especially to A. Gotsman for useful comments on the paper. We acknowledge the financial support by the Mortimer and Raymond Sackler Institute of Advanced Studies and by the CNPq.

PY - 1995/10/23

Y1 - 1995/10/23

N2 - The role of infrared and ultraviolet renormalons are discussed in context of the leading log (1/x) approximation of perturbative QCD. We generalize the BFKL equation for the case of running QCD coupling constant and show that the uncertainties related to the contribution of infrared renormalons turn out to be smaller, than the shadowing correction to the total cross section, in the region of small x. The contributions of infrared and ultraviolet renormalons to the BFKL equation are studied. It is shown that infrared renormalons generate the nonperturbative contribution of the order of √A2/Q2, which does not appear in the Wilson Operator Product Expansion. The solution of the BFKL equation with a running coupling constant is discussed.

AB - The role of infrared and ultraviolet renormalons are discussed in context of the leading log (1/x) approximation of perturbative QCD. We generalize the BFKL equation for the case of running QCD coupling constant and show that the uncertainties related to the contribution of infrared renormalons turn out to be smaller, than the shadowing correction to the total cross section, in the region of small x. The contributions of infrared and ultraviolet renormalons to the BFKL equation are studied. It is shown that infrared renormalons generate the nonperturbative contribution of the order of √A2/Q2, which does not appear in the Wilson Operator Product Expansion. The solution of the BFKL equation with a running coupling constant is discussed.

UR - http://www.scopus.com/inward/record.url?scp=0000134766&partnerID=8YFLogxK

U2 - 10.1016/0550-3213(95)00416-P

DO - 10.1016/0550-3213(95)00416-P

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AN - SCOPUS:0000134766

SN - 0550-3213

VL - 453

SP - 303

EP - 333

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -