Transverse momentum dependence of the $T$-even hadronic structure functions in the Drell-Yan process

Abstract

We present detailed analysis of the $T$-even lepton angular distribution in the Drell-Yan process including $\gamma /Z^0$ gauge boson exchange and using perturbative QCD based on the collinear factorization scheme at leading order in the ${\alpha }_s$ expansion. We focus on the study of the transverse momentum $Q_T$ dependence of the corresponding hadronic structure functions and angular coefficients up to next-next-to-leading order in the $Q_T^2/Q^2$ expansion. We analyze $Q_T$ dependence numerically and compare $T$-even angular coefficients integrated over rapidity with available data of the ATLAS Collaboration at LHC. Additionally, we present our results for the forward-backward asymmetry and compare it with data.

Comments: 26 pages, 9 figures, journal version