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Quark contribution to the small-$x$ evolution of color dipole
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abstract
The small-$x$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. In the NLO the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level - just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.
Forward citations
Cited by 7 Pith papers
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Gluonic nucleon energy correlators and fracture functions for Color Glass Condensate
Gluonic nucleon energy correlators in the CGC reduce at eikonal accuracy to the unpolarized and linearly polarized gluon components, both given by the adjoint dipole S-matrix, and the linearly polarized one drives a s...
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Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
A new rapidity regulator for CGC factorization yields an NLO cross section for pA single hadron production that stays positive and has reduced scale uncertainty.
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Simultaneous Color Glass Condensate fit to deep inelastic scattering and forward hadron production at HERA, RHIC, and the LHC
A simultaneous LO CGC/BK fit to HERA DIS and RHIC/LHC forward hadron production reaches χ²/dof≈1, with complementary constraints and RHIC K-factors roughly twice those at the LHC.
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Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
A Bayesian fit to HERA total and charm cross-section data constrains the NLO Balitsky-Kovchegov initial condition and provides posterior samples for uncertainty propagation.
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Gluon Saturation Effects in Exclusive Heavy Vector Meson Photoproduction
Exclusive J/psi photoproduction off Pb targets prefers BK evolution with gluon saturation over linear BFKL evolution, and Upsilon production is predicted to distinguish them only at higher energies.
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Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
Including the proton's finite transverse size in small-x evolution weakens saturation effects compared with impact-parameter-averaged treatments, while lead-target predictions are insensitive to scheme choices once fi...
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Collinearly Improved Balitsky-Kovchegov Evolution of the Gluon Wigner Distribution
Collinearly improved IMST BK evolution moves the elliptic node and reshapes the rapidity and hard-scale dependence of coherent diffractive dijet ⟨cos2φ⟩ relative to LO BK, not just a normalization shift.
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