Small x dynamics of the unpolarised color dipole gluon TMD PDFs for all transverse momenta

Mariyah Siddiqah; Nahid Vasim; Mushood Nabi

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arXiv · 2606.14290

Small x dynamics of the unpolarised color dipole gluon TMD PDFs for all transverse momenta

Mariyah Siddiqah·Nahid Vasim·Mushood Nabi

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Abstract

A general solution of the Balitsky Kovchegov (BK) equation well describes the partonic behavior within the saturation regime and beyond this limit. This solution can potentially define the unpolarized color dipole gluon transverse momentum dependent (TMD) distribution in the small x regime for full k perp range. In this work, we Fourier-Bessel transform this general S matrix of the BK equation and, within the leading logarithmic approximation, obtain a closed form expression of unpolarised Gluon TMD. The distribution exhibits a smooth and well behaved k perp dependence from low to high transverse momenta. Numerical evaluation for different values of x accessible at the Electron Ion Collider (EIC), shows a characteristic inversion of the x ordering at the saturation scale. The result is in close agreement with the behavior observed in the unintegrated color dipole gluon distribution computed within the Bartels Golec Biernat Kowalski (BGK) model, suggesting that this feature is a model independent signature of gluon saturation.

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Mariyah Siddiqah, Nahid Vasim, Mushood Nabi. 2026-06-12. Small x dynamics of the unpolarised color dipole gluon TMD PDFs for all transverse momenta. https://arxiv.org/abs/2606.14290

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