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Failure of the collinear expansion in the calculation of the induced gluon emission
Authors:P Aurenche  B G Zakharov  H Zaraket
Institution:(1) Laboratoire d’Annecy-le-Vieux de Physique Théorique LAPTH, F-74941 Annecy-le-Vieux Cedex, France;(2) Landau Institute for Theoretical Physics, Russian Academy of Sciences, 117940 GSP-1, Moscow, 117334, Russia;(3) Faculty of Sciences (I), Lebanese University, Hadeth-Beirut, Lebanon
Abstract:The collinear expansion is demonstrated to fail in the case of the gluon emission from a fast quark produced in eA deep inelastic scattering. In this approximation, the N = 1 rescattering contribution to the gluon spectrum vanishes. It has been shown that the higher-twist approach by X. N. Wang and X. Guo, Nucl. Phys. A 696, 788 (2001) and B. W. Zhang and X. N. Wang, Nucl. Phys. A 720, 429 (2003) based on the collinear expansion is wrong. The nonzero gluon spectrum obtained in those works is a consequence of an unjustified neglect of some important terms in the collinear expansion. The text was submitted by the authors in English.
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