Computes N³LO twist-2 matching for linearly polarized gluon TMDs with NNLL small-x resummation for fragmentation functions.
Linearly-polarized small-x gluons in forward heavy-quark pair production
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abstract
We use the Color Glass Condensate (CGC) framework to study the production of forward heavy quark-antiquark pairs in unpolarized proton-nucleus or proton-proton collisions in the small-x regime. In the limit of nearly back-to-back jets, the CGC result simplifies into the transverse-momentum dependent (TMD) factorization approach. For massless quarks, the TMD factorization formula involves three unpolarized gluon TMDs: the Weizs\"{a}cker-Williams gluon distribution, the adjoint-dipole gluon distribution, and an additional one. When quark masses are kept non-zero, three new gluon TMDs appear -- each partnered to one of the aforementioned distributions -- which describe the distribution of linearly-polarized gluons in the unpolarized small-x target. We show how these six gluon TMDs emerge from the CGC formulation and we determine their expressions in terms of Wilson line correlators. We calculate them analytically in the McLerran-Venugopalan model, and further evolve them towards smaller values of x using a numerical implementation of JIMWLK evolution.
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Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.
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The N$^3$LO Twist-2 Matching of Linearly Polarized Gluon TMDs
Computes N³LO twist-2 matching for linearly polarized gluon TMDs with NNLL small-x resummation for fragmentation functions.
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Maximum phase-space density of linearly polarized gluon TMDs in the saturation region
Computes maximum phase-space density of linearly polarized gluon TMD h1^⊥g as ~2 α_s^{-3/2} (dipole) in saturation using Mueller occupancy and prior WW/dipole distributions, with numerical Collins-Soper study.
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Probing Saturation Effect in Heavy Meson Pair Correlation in Forward $pA$ Collisions
Heavy meson pair correlations in forward pA collisions are computed in the CGC framework with Sudakov resummation, reproducing LHCb data and showing a mass hierarchy in R_pA that strengthens at higher rapidity.