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In this work, we discuss both relativistic and perturbative QCD corrections to the transition form-factor ${\cal F}_{\eta_Q}{(t_1,t_2)}$ for the process $\gamma^*(q_1) \gamma^*(q_2) \leftrightarrow \eta_Q(P)$ with dependencies on the…

High Energy Physics - Phenomenology · Physics 2026-01-07 Izabela Babiarz , Chris A. Flett , Melih A. Ozcelik , Wolfgang Schäfer , Antoni Szczurek

The next-to-next-to-leading order (NNLO) pQCD prediction for the $\gamma\gamma^* \to \eta_c$ form factor was evaluated in 2015 using nonrelativistic QCD (NRQCD). A strong discrepancy between the NRQCD prediction and the BaBar measurements…

High Energy Physics - Phenomenology · Physics 2018-06-01 Sheng-Quan Wang , Xing-Gang Wu , Wen-Long Sang , Stanley J. Brodsky

The next-to-next-to-leading-order (NNLO) pQCD predictions for both the decay width and the transition form factor in the $\eta_c\rightarrow \gamma\gamma$ process, based on nonrelativistic QCD (NRQCD), deviate from precise experimental…

High Energy Physics - Phenomenology · Physics 2025-06-04 Sheng-Quan Wang , Zhu-Yu Ren , Jian-Ming Shen , Xing-Gang Wu , Leonardo Di Giustino , Stanley J. Brodsky

Within the nonrelativistic QCD (NRQCD) factorization framework, we compute the long-awaited ${\mathcal O}(\alpha_s^2)$ correction for the exclusive double charmonium production process at $B$ factories, {\it i.e.}, $e^+e^-\to J/\psi+\eta_c$…

High Energy Physics - Phenomenology · Physics 2022-11-28 Feng Feng , Yu Jia , Zhewen Mo , Wen-Long Sang , Jia-Yue Zhang

We update the theoretical framework for the QCD calculation of transition form factors $\gamma^*\gamma\to\eta$ and $\gamma^*\gamma\to\eta'$ at large photon virtualities including full next-to-leading order analysis of perturbative…

High Energy Physics - Phenomenology · Physics 2014-10-22 S. S. Agaev , V. M. Braun , N. Offen , F. A. Porkert , A. Schäfer

Based on the NRQCD factorization formalism, we calculate the next-to-next-to-leading order QCD corrections to the heavy quarkonium $\eta_c (\eta_b)$ production associated with a photon at electron-positron colliders. By matching the…

High Energy Physics - Phenomenology · Physics 2018-02-14 Long-Bin Chen , Yi Liang , Cong-Feng Qiao

We present the Non-Relativistic QCD (NRQCD) calculations at the next-to-leading order (NLO) of $\alpha_s$ for $B_c^*\to \eta_c$ vector, axial-vector, tensor and axial-tensor form factors, and obtain complete analytical expressions for the…

High Energy Physics - Phenomenology · Physics 2026-03-18 Wei Tao , Ya-Hui Zhao , Li-Ting Wang , Qin Chang , Zhen-Jun Xiao

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to $\gamma+\gamma\to \eta_c+c+\bar{c}$, $\gamma+\gamma\to \eta_b+b+\bar{b}$ and $\gamma+\gamma\to B_c+b+\bar{c}$ processes in the framework of…

High Energy Physics - Phenomenology · Physics 2022-05-25 Hao Yang , Zi-Qiang Chen , Cong-Feng Qiao

We present a next-to-leading order (NLO) QCD corrections to $B_c\to \eta_c$ and $B_c\to J/\psi$ tensor form factors within nonrelativistic QCD (NRQCD) framework. The full analytical results for $B_c$ to S-wave charmonium tensor form factors…

High Energy Physics - Phenomenology · Physics 2022-06-29 Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

In this paper, we calculate the next-to-next-to-leading-order (NNLO) QCD corrections to $e^+e^- \to J/\psi+\eta_c$ at the $B$ factories. After including the NNLO corrections, the cross section of $e^+e^- \to J/\psi+\eta_c$ is enhanced by…

High Energy Physics - Phenomenology · Physics 2023-02-08 Xu-Dong Huang , Bin Gong , Jian-Xiong Wang

Within the framework of Non-Relativistic Quantum Chromodynamics (NRQCD) factorization, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the form factors for the semileptonic decays of $B_c^*$ into $J/\psi$ via…

High Energy Physics - Phenomenology · Physics 2025-02-28 Qin Chang , Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

We analyze the first measurement of $\eta_c$ production, performed by the LHCb Collaboration, in the nonrelativistic-QCD (NRQCD) factorization framework at next-to-leading order (NLO) in the strong-coupling constant $\alpha_s$ and the…

High Energy Physics - Phenomenology · Physics 2015-03-11 Mathias Butenschoen , Zhi-Guo He , Bernd A. Kniehl

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to double charmonium production processes $e^+e^-\to\gamma^*\to\eta_c+h_c(1P)/\psi_{1,2}(1D)$ within the non-relativistic QCD (NRQCD) factorization…

High Energy Physics - Phenomenology · Physics 2015-08-03 Long-Bin Chen , Jun Jiang , Cong-Feng Qiao

The eta(c)-gamma transition form factor is calculated within a perturbative approach. It is shown that the Q^2 dependence of the form factor is well determined in the region where experimental data is expected in the near future.

High Energy Physics - Phenomenology · Physics 2007-05-23 Thorsten Feldmann

We address the long-standing problem of negative decay and production rates in perturbative QCD for exclusive processes by proposing amplitude-level NRQCD factorization as a systematic prescription. Building on this, we present the first…

High Energy Physics - Phenomenology · Physics 2026-04-09 Chao Zeng , Bin Gong , Jian-Xiong Wang , Ruichang Niu , Xu-Dong Huang , Cong Li

By employing the perturbative QCD (PQCD) factorization approach, we studied the sixteen $B/B_s \to \eta_c (\pi, K, \eta^{(\prime)},\rho,K^*,\omega,\phi)$ decays with the inclusion of the currently known next-to-leading order (NLO)…

High Energy Physics - Phenomenology · Physics 2020-02-26 Zhen-Jun Xiao , Da-Cheng Yan , Xin Liu

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay…

High Energy Physics - Phenomenology · Physics 2017-12-27 Feng Feng , Yu Jia , Wen-Long Sang

We investigate the processes $e^+e^-\to \eta_c+\gamma$ and $e^+e^-\to \chi_{cJ}+\gamma$ at B factories within the NRQCD factorization framework, computing the corresponding helicity amplitudes through $\mathcal{O}(\alpha_s^2)$. The…

High Energy Physics - Phenomenology · Physics 2025-12-05 Cong Li , Wen-Long Sang , Hong-Fei Zhang

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…

High Energy Physics - Phenomenology · Physics 2015-05-27 Cong-Feng Qiao , Peng Sun , Feng Yuan

The leading-order perturbative QCD (pQCD) predictions to nucleon electromagnetic form factors were first made in late 70s. In this Letter for the first time we accomplish the calculation of the next-to-leading-order (NLO) QCD corrections to…

High Energy Physics - Phenomenology · Physics 2025-09-03 Long-Bin Chen , Wen Chen , Feng Feng , Siwei Hu , Yu Jia
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