The studies on $Z\to {\rm Y}(1S)+g+g$ at the next-to-leading-order QCD accuracy

Abstract

In this paper, we carry out the next-to-leading-order (NLO) studies on $Z\to {\rm Y}(1S)+g+g$ via the color-singlet (CS) $b\bar{b}$ state. We find the newly calculated NLO QCD corrections to this process can significantly influence its leading-order (LO) results, and greatly improve the dependence on the renormalization scale. By including the considerable feeddown contributions, the branching ratio ${\mathcal{B}}_{Z\to {\rm Y}(1S)+g+g}$ is predicted to be $(0.56\sim 0.95)\times 10^{-6}$, which can reach up to $19\%\sim 31\%$ of the LO predictions given by the CS dominant process $Z\to {\rm Y}(1S)+b+\bar{b}$. Moreover, $Z\to {\rm Y}(1S)+g+g$ also seriously affect the CS predictions on the ${\rm Y}(1S)$ energy distributions, especially when $z$ is relatively small. In summary, for the inclusive ${\rm Y}(1S)$ productions in $Z$ decay, besides $Z\to {\rm Y}(1S)+b+\bar{b}$, the gluon radiation process $Z\to {\rm Y}(1S)+g+g$ can provide indispensable contributions as well.

arXiv comment13 pages, 6 figures; discussions, references, and minor clarifications added; accepted for publication in the European Physical Journal C

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Cited by in corpus (4)

• Analysis of double-$J/\psi$ production in $Z$ decay at next-to-leading-order QCD accuracy
• Comprehensive studies of ${\rm Y}$ inclusive production in $Z$ boson decay
• Next-to-leading order QCD corrections to $Z\to {\eta }_Q+Q+\bar{Q}$
• Impact of $Z\to {\eta }_{c,b}+g+g$ on the inclusive ${\eta }_{c,b}$ meson yield in $Z$-boson decay