Probing the weak mixing angle at high energies at the LHC and HL-LHC

TL;DR

This paper explores the potential of using high-energy Drell-Yan measurements at the LHC to test the energy dependence of the electroweak mixing angle, employing advanced electroweak corrections in the analysis.

Contribution

It introduces a novel implementation of full next-to-leading order electroweak corrections in the $ar{MS}$ scheme for Drell-Yan processes at high energies.

Findings

Projections for future LHC runs can test the running of the electroweak mixing angle.

The analysis enhances the precision of electroweak measurements at TeV scales.

Standard Model predictions for the energy dependence of the mixing angle are within reach of upcoming experiments.

Abstract

Measurements of neutral current Drell-Yan production at large invariant dilepton masses can be used to test the energy scale dependence (running) of the electroweak mixing angle. In this work, we make use of a novel implementation of the full next-to-leading order electroweak radiative corrections to the Drell-Yan process using the $\overline{\mathrm{MS}}$ renormalization scheme for the electroweak mixing angle. The potential of future analyses using proton-proton collisions at $\sqrt{s}=13.6~\mathrm{TeV}$ in the Run 3 and High-Luminosity phases of the LHC is explored. In this way, the Standard Model predictions for the $\overline{\mathrm{MS}}$ running at $\mathrm{TeV}$ scales can be probed.