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2015

Resumming double logarithms in the QCD evolution of color dipoles

Iancu, E., Madrigal, J. D., Mueller, A. H. et al.

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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.

Resumming double logarithms in the QCD evolution of color dipoles · Around

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