Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model

Agnieszka Łuszczak; Marta Łuszczak; Wolfgang Schäfer

doi:10.1016/j.physletb.2022.137582

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arXiv · 2210.02877

Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model

Agnieszka Łuszczak·Marta Łuszczak·Wolfgang Schäfer

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Abstract

We evaluate the unintegrated gluon distribution of the proton starting from a parametrization of the color dipole cross section including DGLAP evolution and saturation effects. To this end, we perform the Fourier-Bessel transform of $σ(x,r)/α(r)$. At large transverse momentum of gluons we match the so-obtained distribution to the logarithmic derivative of the collinear gluon distribution. We check our approach by calculating the proton structure function $F_L(x,Q^2)$ finding good agreement with HERA data.

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Agnieszka Łuszczak, Marta Łuszczak, Wolfgang Schäfer. 2022-10-06. Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model. https://doi.org/10.1016/j.physletb.2022.137582

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