Abstract
We study the cross section \sigma and Forward-Backward asymmetry A_{FB} in the process pp \to \gamma^*,Z \to \ell^+\ell^- (with \ell=e,\mu) for determinations of Parton Distribution Functions (PDFs) of the proton. We show that, once mapped in the invariant mass of the di-lepton final state, M({\ell\ell}), both observables, \sigma and A_{FB}, display a statistical error which is presently competitive with that assigned to the existing PDF sets and which will rapidly become smaller than the latter as the luminosity being accumulated at Run-II of the LHC grows. This statement is applicable to both on-peak and off-peak M({\ell\ell}) regions, both (just) below and above it, thereby offering a means of constraining the quark PDFs over a sizeable (x,Q^2) range.
Highlights
Neutral current (NC) and charged current (CC) DrellYan (DY) production modes in hadronic collisions are used both for searching for beyond the Standard Model (BSM) physics and for testing the Standard Model
It is envisaged that studies of the FB asymmetry could be applied to investigate softgluon effects on the behavior of parton distribution functions (PDFs) [25,26], and possibly set physical constraints in the large-x region, which is still little constrained by experimental data, and where results for PDFs strongly depend at present on the choice of parametrizations used in global fits
A vast literature exists in this respect, largely concentrating on the scope offered by CC and NC differential cross section measurements in dilepton mass and rapidity
Summary
Neutral current (NC) and charged current (CC) DrellYan (DY) production modes in hadronic collisions are used both for searching for beyond the Standard Model (BSM) physics and for testing the Standard Model. The impact of CC and NC doubly differential measurements in the dilepton mass and rapidity has recently been examined, see e.g., [8,11,13] It is the purpose of this paper, by leveraging on the fact that, presently, there exist σ and AFB measurements in the NC mode at the LHC in the aforementioned regions of the dilepton mass spectrum, to investigate the role of the angular information encoded in the AFB, which is related to the single-lepton pseudorapidity. This information, once combined with dilepton mass and rapidity, would qualitatively correspond to triple differential cross sections.
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