Two loop QCD corrections to e⁺ e^- → J/ψ+ η_c in asymptotic expansion

2025/06/19 by Li, Cong, Huang, Xu-Dong, Sang, Wen-Long · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2506.16317

Abstract

Within the framework of NRQCD, the short-distance coefficients (SDCs) for the process e⁺e^-→ J/ψ+η_c have been obtained up to NNLO in asymptotic expansions over r=16m_c²/s up to r¹⁵. Although these asymptotic expressions are deviated from the full results near the threshold r= 1, they provide excellent approximations to the full results for r<0.8, with deviations less than 3%. Therefore, these asymptotic expressions offer reliable applications for phenomenological predictions across a wide range of center-of-mass energies √(s). Utilizing these asymptotic expressions, we present phenomenological predictions for the cross sections in both the on-shell mass scheme and the \rm MS mass scheme, with the uncertainty arising from the renormalization scale μ_R included. The μ_R uncertainty for predictions from the \rm MS mass scheme is slightly larger than that from the on-shell mass scheme, which is partly attributed to the helicity flip in the process e⁺e^-→ J/ψ+η_c. We observe that both mass schemes yield quite similar predictions, and our theoretical results are consistent with the available experimental data.

Citations

• Blade: A package for block-triangular form improved Feynman integrals decomposition

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