Resumming double logarithms in the QCD evolution of color dipoles

By E. Iancu, J. D. Madrigal, A. Mueller, G. Soyez, D. Triantafyllopoulos. 2015

166 citations recorded by the source corpus.

Abstract The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double collinear logarithms. Via an explicit calculation of Feynman graphs in light cone (time-ordered) perturbation theory, we show that the corrections enhanced by double logarithms (either energy-collinear, or double collinear) are associated with soft gluon emissions which are strictly ordered in lifetime. These corrections can be resummed to all orders by solving an evolution equation which is non-local in rapidity. This equation can be equivalently rewritten in local form, but with modified kernel and initial conditions, which resum double collinear logs to all orders. We extend this resummation to the next-to-leading order BFKL and BK equations. The first numerical studies of the collinearly-improved BK equation demonstrate the essential role of the resummation in both stabilizing and slowing down the evolution.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f3460b687d9ae6d1ba10ec38ce14830e1863a072

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In Nuclear and High Energy Physics

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Collinearly-improved BK evolution meets the HERA data (2015, methodology): “For ρ > Y , the physical amplitude can be obtained by either solving an equation non-local in Y , or by matching onto the solution to the DGLAP equation [50].”