NLO QCD Corrections to $B_c$-to-Charmonium Form Factors

TL;DR

This paper calculates the NLO QCD corrections to $B_c$-to-Charmonium transition form factors, highlighting significant higher-order effects crucial for accurate phenomenological predictions.

Contribution

It provides the first detailed NLO QCD calculations of these form factors, including asymptotic expressions for radiative corrections at $m_c o 0$.

Findings

Higher order corrections are substantial and impact phenomenological analyses.

Asymptotic expressions at $m_c o 0$ are derived for easier comparison.

Results emphasize the importance of NLO corrections in $B_c$ to Charmonium transitions.

Abstract

The $B_c(^1S_0)$ meson to S-wave Charmonia transition form factors are calculated in next-to-leading order(NLO) accuracy of Quantum Chromodynamics(QCD). Our results indicate that the higher order corrections to these form factors are remarkable, and hence are important to the phenomenological study of the corresponding processes. For the convenience of comparison and use, the relevant expressions in asymptotic form at the limit of $m_c\rightarrow0$ for the radiative corrections are presented.