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Motivated by the recent work of Brzemi\'nski, Motyka, Sadzikowski and Stebelin arXiv:1611.04449, where forward Drell--Yan production is studied inproton-proton collisions at the LHC, we improve their calculation byintroducing an unintegrated gluon density obtained in arXiv:1209.1353 andarXiv:1301.5283 from a fit to combined HERA data at small values of Bjorken$x$. This gluon density was calculated within the BFKL formalism atnext-to-leading order with collinear corrections. We show that it generates agood description of the forward Drell--Yan cross section dependence on theinvariant mass of the lepton pair both for LHCb and ATLAS data.

Forward Drell-Yan production at the LHC in the BFKL formalism with collinear corrections