Deeply virtual pion production through two-loop order
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arXiv
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2026
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| author | Chen, Wen Feng, Feng Jia, Yu Song, Qin-Tao Tang, Guang Wang, Zhe-Yu |
| author_facet | Chen, Wen Feng, Feng Jia, Yu Song, Qin-Tao Tang, Guang Wang, Zhe-Yu |
| contents | Deeply virtual meson production (DVMP) is among the most prominent channels to extract the nucleon's generalized parton distributions (GPDs) at $ep$ scattering facilities such as {\tt JLab} and the upcoming {\tt EIC/EicC} experiments, which plays a vital role in unravelling the three-dimensional internal structure of nucleon. In this work we calculate for the first time the next-to-next-to-leading order (NNLO) QCD radiative corrections to the DV$π$P processes $γ_L^* p\to π^+ n$ and $γ_L^* p\to π^0 p$ in the generalized Bjorken limit $Q^2\gg \vert t\vert, Λ_{\text{QCD}}^2$, accurate at the leading twist within collinear factorization framework. The impact of the two-loop QCD corrections appears to be positive and substantial, including which considerably improves the agreement between the perturbative QCD prediction and the available {\tt JLab} data. In addition to the differential longitudinal DV$π$P cross section, we also study the impact of the two-loop QCD corrections on the transverse single-spin asymmetries (TSSA) in some benchmark kinematics at {\tt JLab}, {\tt EIC} and {\tt EicC}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_28164 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Deeply virtual pion production through two-loop order Chen, Wen Feng, Feng Jia, Yu Song, Qin-Tao Tang, Guang Wang, Zhe-Yu High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory Deeply virtual meson production (DVMP) is among the most prominent channels to extract the nucleon's generalized parton distributions (GPDs) at $ep$ scattering facilities such as {\tt JLab} and the upcoming {\tt EIC/EicC} experiments, which plays a vital role in unravelling the three-dimensional internal structure of nucleon. In this work we calculate for the first time the next-to-next-to-leading order (NNLO) QCD radiative corrections to the DV$π$P processes $γ_L^* p\to π^+ n$ and $γ_L^* p\to π^0 p$ in the generalized Bjorken limit $Q^2\gg \vert t\vert, Λ_{\text{QCD}}^2$, accurate at the leading twist within collinear factorization framework. The impact of the two-loop QCD corrections appears to be positive and substantial, including which considerably improves the agreement between the perturbative QCD prediction and the available {\tt JLab} data. In addition to the differential longitudinal DV$π$P cross section, we also study the impact of the two-loop QCD corrections on the transverse single-spin asymmetries (TSSA) in some benchmark kinematics at {\tt JLab}, {\tt EIC} and {\tt EicC}. |
| title | Deeply virtual pion production through two-loop order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2604.28164 |