The normalized cos2φ moment of energy flow in DIS dijet production provides a linear projection of the elliptic gluon Wigner harmonic after kinematic subtraction within leading-power small-x factorization.
Resumming double logarithms in the QCD evolution of color dipoles
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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.
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A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
Collinearly improved BK evolution shifts the elliptic node position and alters the rapidity and hard-scale dependence of the coherent dijet cos2φ signal rather than producing a simple normalization change.
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Energy-Flow Moments for Elliptic Gluon Wigner Tomography
The normalized cos2φ moment of energy flow in DIS dijet production provides a linear projection of the elliptic gluon Wigner harmonic after kinematic subtraction within leading-power small-x factorization.
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Confronting Color Glass Condensate at next-to-leading order with HERA data
A Bayesian global fit at full NLO+NLL accuracy extracts the posterior distribution for the non-perturbative initial condition of the NLO Balitsky-Kovchegov equation from HERA inclusive and charm data.
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Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution
Collinearly improved BK evolution shifts the elliptic node position and alters the rapidity and hard-scale dependence of the coherent dijet cos2φ signal rather than producing a simple normalization change.