$B_c$ meson exclusive decays to a $P$-wave charmonium and a pion at NLO accuracy

TL;DR

This paper computes NLO QCD corrections to specific $B_c$ meson decays into P-wave charmonium and a pion, significantly refining theoretical predictions and aligning them with experimental data.

Contribution

It provides the first NLO QCD correction calculations for these exclusive $B_c$ decay processes within the NRQCD framework, improving accuracy of branching ratio predictions.

Findings

NLO QCD corrections increase branching ratios by about 2.5 times.

Predicted ratio of branching fractions aligns with experimental measurements.

Enhanced theoretical understanding of $B_c$ meson decay mechanisms.

Abstract

In this paper, we calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to the exclusive processes $B_c^+\to \chi_{cJ}(h_c)\pi^+$ in the framework of the nonrelativistic QCD (NRQCD) factorization formalism. The results show that NLO QCD corrections markedly enhance the branching ratios with $K$ factors of about 2.5. In combination with the study of $B_c^+\to J/\psi\pi^+$, we find that the NLO NRQCD prediction for the ratio of branching fractions $\frac{\mathcal{B}(B_c^+\to \chi_{c0}\pi^+)}{\mathcal{B}(B_c^+\to J/\psi \pi^+)}$ is then compatible with the experimental measurement.