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

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