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Helicity-dependent generalization of the JIMWLK evolution

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arxiv 1910.04268 v1 pith:QRADOUZD submitted 2019-10-09 hep-ph nucl-th

Florian Cougoulic , Yuri V. Kovchegov This is my paper · ORCID
classification hep-phnucl-th
keywords evolutionjimwlkequationfunctionalhelicityhelicity-dependentkernelwilson
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We generalize the JIMWLK evolution equation to include the small-$x$ evolution of helicity distributions. To derive helicity JIMWLK, we use the method devised by A.H. Mueller for the usual unpolarized JIMWLK, and apply it to the helicity evolution equations derived earlier. We obtain a functional evolution equation for the generalized JIMWLK weight functional. The functional now is a sum of a helicity-independent term and a helicity-dependent term. The kernel of the new evolution equation consists of the standard eikonal leading-order JIMWLK kernel plus new terms containing derivatives with respect to the sub-eikonal quark and gluon fields. The new kernel we derive can be used to generate the standard JIMWLK evolution and to construct small-$x$ evolution equations for flavor-singlet operators made of any number of light-cone Wilson lines along with one Wilson line containing sub-eikonal helicity-dependent local operator insertions (a "polarized Wilson line").

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Cited by 2 Pith papers

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  1. Analytic Solution for the Helicity Evolution Equations at Small $x$ and Large $N_c\&N_f$

    hep-ph 2025-07 conditional novelty 7.0 of 10

    An exact analytic solution of the revised large-Nc and large-Nf small-x helicity evolution equations in QCD, yielding all-order polarized DGLAP anomalous dimensions and small-x growth intercepts.

  2. Forward parton-nucleus scattering at next-to-eikonal accuracy in the CGC

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Full next-to-eikonal quark and gluon propagators in a dynamical gluon background are derived, and forward quark and gluon production cross sections are computed for quark-nucleus and gluon-nucleus scattering.

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