Transverse momentum dependent gluon density in a proton at low $x$ in the Laplace transform method

G. R. Boroun; Phuoc Ha; A. V. Kotikov; A. V. Lipatov

doi:10.1016/j.physletb.2026.140518

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arXiv · 2510.14678

Transverse momentum dependent gluon density in a proton at low $x$ in the Laplace transform method

G. R. Boroun·Phuoc Ha·A. V. Kotikov·A. V. Lipatov

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Abstract

We investigate the gluon distribution in a proton at very low $x$, both integrated and transverse momentum dependent, using the Laplace transform technique. By accounting for leading and main next-to-leading contributions, we derive compact analytical expressions for the gluon densities valid in the asymptotic limit $x \to 0$. Our results closely match those from other analytical and numerical approaches, with the main advantage being the simplicity of the expressions, which capture the essential features of more complex calculations.

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G. R. Boroun, Phuoc Ha, A. V. Kotikov, A. V. Lipatov. 2025-10-16. Transverse momentum dependent gluon density in a proton at low $x$ in the Laplace transform method. https://doi.org/10.1016/j.physletb.2026.140518

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