Precision studies for string derived $Z^{\mathrm{\prime }}$ dynamics at the LHC

We consider $Z^{\mathrm{\prime }}$s in heterotic string derived models and study $Z^{\mathrm{\prime }}$ resonant production at the TeV scale at the Large Hadron Collider (LHC). We use various kinematic differential distributions for the Drell-Yan process at NNLO in QCD to explore the parameter space of such models and investigate $Z^{\mathrm{\prime }}$ couplings. In particular, we study the impact of $Z$-$Z^{\mathrm{\prime }}$ kinetic-mixing interactions on forward-backward asymmetry ($A_{FB}$) and other distributions at the LHC.