High-Energy Factorization for Drell-Yan process in $pp$ and $p\bar{p}$ collisions with new Unintegrated PDFs

Abstract

The formalism for uniform description of Drell-Yan transverse-momentum spectrum is presented in a framework of High-Energy Factorization, which smoothly interpolates between Collins-Soper-Sterman formalism at $|{\mathbf{q}}_T|\ll Q$ and usual Collinear Parton Model at $|{\mathbf{q}}_T|\sim Q\ll \sqrt{S}$. The new formula for deriving Unintegrated Parton Distribution Functions(UPDFs) from collinear ones is introduced, which leads to excellent description of the shape of $Z$-boson $|{\mathbf{q}}_T|$-spectrum at high energies up to $|{\mathbf{q}}_T|/\sqrt{S}\simeq 0.02$. Description of normalized $|{\mathbf{q}}_T|$-distributions at low energies is achieved via the fit of non-perturbative parameters of quark UPDFs. Reasonable description of angular distributions of leptons in the dilepton center-of-mass frame is also obtained with new UPDFs.

31 pages, 9 figures, 1 table

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• Collinear and TMD distributions with dynamical soft-gluon resolution scale
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• Charmonium pair production at the LHCb in the ICEM using the $k_T$-factorization: DPS versus SPS