Probing the weak mixing angle at high energy

Weinberg angle Event generator Bhabha scattering
DOI: 10.48550/arxiv.2307.10737 Publication Date: 2023-01-01
ABSTRACT
The weak mixing angle is a probe of the vector-axial coupling structure electroweak interactions. It has been measured precisely at $Z$-pole by experiments LEP and SLD colliders, but its energy dependence above $M_Z$ remains unconstrained. In this contribution we propose to exploit measurements Neutral-Current Drell Yan large invariant dilepton masses Large Hadron Collider, determine scale in $\overline{MS}$ renormalisation scheme, $\sin^2 \theta_w^{\overline{MS}}(\mu)$. Such measurement can be used test Standard Model predictions for running TeV scales, set model-independent constraints on new states with quantum numbers. To end, present an implementation \theta_w^{\overline{MS}}(\mu)$ POWHEG-BOX Monte Carlo event generator, which use explore potential future analyses LHC Run~3 High-Luminosity datasets. particular, impact higher order corrections uncertainties due knowledge parton distribution functions are studied.
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