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.
Highlights
The results show that next-to-leading order (NLO) quantum chromodynamics (QCD) corrections markedly enhance the branching ratios with K factors of about 2.5
In the Standard Model (SM) of particle physics, the Bc meson family is unique as its states are composed of two different heavy quarks, beauty (b) and charm (c)
It can be seen that, after including the NLO corrections, the branching ratios are enhanced by a factor of about 2.5, and the theoretical uncertainties induced by the renormalization scale remain large, which may indicate that the contributions from missing higher orders are significant
Summary
In the Standard Model (SM) of particle physics, the Bc meson family is unique as its states are composed of two different heavy quarks, beauty (b) and charm (c). Unlike the charmonium and bottomonium states, the ground state of Bc meson family decays only via weak interactions, where the main decay modes can be classified as: (i) bdecay with c as a spectator, (ii) c decay with bas a spectator, and (iii) bc annihilate to a virtual W boson Study on these decay processes can deepen our understanding of both strong and weak interactions, and provides opportunities to search for new physics beyond the SM. In 2014, the ATLAS Collaboration reported an excited state with mass of 6842 Æ 4 Æ 5 MeV [8], which is regarded as a candidate of Bcð2SÞ state This observation was confirmed by the CMS and LHCb Collaborations in 2019, where the Bþc ð2SÞ and BÃcþð2SÞ states were reconstructed through the decays.
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