Lepton angular distribution of $W$ boson productions

TL;DR

This paper extends a geometric approach to describe lepton angular distributions in W boson production at the Tevatron, comparing it with QCD calculations and discussing implications for future LHC studies.

Contribution

It generalizes a geometric model to W boson angular distributions and demonstrates its agreement with QCD calculations and experimental data.

Findings

Geometric approach accurately describes W boson angular coefficients.

QCD calculations at _s^2 align with experimental data.

Implications for future LHC measurements are discussed.

Abstract

The lepton angular distribution coefficients $A_i$ for $Z$ boson production in $pp$ and $\bar p p$ collisions have been measured at the LHC and the Tevatron. A recent study showed that many features of the measured angular distribution coefficients, including the transverse momentum ($q_T$) and rapidity dependencies and the violation of the Lam-Tung relation, can be well described using an intuitive geometric approach. In this paper, we extend this geometric approach to describe the angular distribution coefficients for $W$ boson produced in $\bar{p} p$ collisions at the Tevatron. We first compare the data with a perturbative QCD calculation at $\mathcal{O}(\alpha_s^2)$. We then show that the data and QCD calculations can be well described with the geometric approach. Implications for future studies at the LHC energy are also discussed.