Weak radiative corrections to the Drell-Yan process for large invariant mass of a dilepton pair

Abstract

The weak radiative corrections to the Drell-Yan process above the $Z$-peak have been studied. The compact asymptotic expression for the two heavy boson exchange---one of the significant contributions to the investigated process---has been obtained, the results expand in the powers of the Sudakov electroweak logarithms. At the quark level we compare the weak radiative corrections to the total cross section and forward-backward asymmetry with the existing results and achieve a rather good coincidence at $\sqrt{s}\ensuremath{\gtrsim}0.5\text{ }\text{ }\mathrm{TeV}$. The numerical analysis has been performed in the high energy region corresponding to the future experiments at the CERN Large Hadron Collider (LHC). To simulate the detector acceptance we used the standard CMS detector cuts. It was shown that double Sudakov logarithms of the WW boxes are the dominant contributions in hadronic cross section. The considered radiative corrections are significant at high dilepton mass $M$ and change the dilepton mass distribution up to $\ensuremath{\sim}+3(\ensuremath{-}12)%$ at the LHC energies and $M=1(5)\text{ }\text{ }\mathrm{TeV}$.