Next-to-leading order QCD corrections to $\chi_{cJ} W^+ b$ associated production from top-quark decay

TL;DR

This paper calculates next-to-leading order QCD corrections for $ ext{chi}_{cJ}$ production in top-quark decay, highlighting the detectability of $ ext{chi}_{c1}$ and $ ext{chi}_{c2}$ at the LHC and their importance for quarkonium production studies.

Contribution

It provides the first NLO QCD correction calculations for $ ext{chi}_{cJ}$ associated with $W^+b$ production from top decay, enhancing understanding of heavy quarkonium production mechanisms.

Findings

$ ext{chi}_{c0}$ production is hard to detect at the LHC.

$ ext{chi}_{c1}$ and $ ext{chi}_{c2}$ production could be observed at the LHC.

Detection of $ ext{chi}_{cJ}$ from top decay can shed light on $J/ ext{psi}$ production and quarkonium mechanisms.

Abstract

We calculate the next-to-leading order QCD corrections to the excited charmonium $\chi_{cJ}$ associated with $ W^+ b $ production from top-quark decay. Our results show that detecting the $\chi_{c0}$ production from top-quark decay is very difficult, but the $\chi_{c1}$ and $\chi_{c2}$ productions have the potential to be detected at the LHC. If the prompt $\chi_{cJ}$ production from top-quark decay is really detected at the LHC, it will be useful not only for investigating $J/\psi$ production from top-quark decay but also for understanding the heavy quarkonium production mechanism.