Analytical $O(\alpha_s)$ corrections to the beam frame double-spin density matrix elements of $e^+e^-\to t\bar t$

TL;DR

This paper presents analytical calculations of order alpha_s corrections to the double-spin density matrix elements in electron-positron to top-antitop quark production, focusing on beam frame orientations.

Contribution

It provides the first analytical results for O(α_s) corrections to specific double-spin density matrix elements in e+e- to t t̄ reactions.

Findings

Analytical expressions for O(α_s) corrections to spin density matrix elements.

Results applicable to beam frame orientations in top quark production.

Enhances precision in theoretical predictions of top quark spin correlations.

Abstract

We provide analytical results for the $O(\alpha_s)$ corrections to the double-spin density matrix elements in the reaction $e^+e^-\to t\bar t$. These concern the elements $ll$, $lt$, $ln$, $tt$, $tn$, and $nn$ of the double-spin density matrix elements where $l,t,n$ stand for longitudinal, transverse and normal orientations with respect to the beam frame spanned by the electron and the top quark momentum.