High Energy Physics - Phenomenology
[Submitted on 13 Apr 2023 (v1), last revised 13 Jun 2023 (this version, v2)]
Title:Kinematical higher-twist corrections in $γ^* \to M_1 M_2 γ$: Neutral meson production
View PDFAbstract:We carry out the calculation of kinematical higher-twist corrections to the cross section of $\gamma^* \to M_1 M_2 \gamma$ up to twist 4, where $M_i$ is a scalar or pseudoscalar neutral meson. The three independant helicity amplitudes are presented in terms of the twist-2 generalized distribution amplitudes (GDAs), which are important non-perturbative quantities for understanding the 3D structure of hadrons. Since this process can be measured by BESIII in $e^+ e^-$ collisions, we perform the numerical estimate of the kinematical higher-twist corrections by using the kinematics of BESIII. We adopt the $\pi \pi$ GDA extracted from Belle measurements and the asymptotic $\pi \pi$ GDA to study the size of the kinematical corrections in the case of pion meson pair, and a model $\eta \eta$ GDA is used to see the impact of target mass corrections $\mathcal O(m^2/s)$ for $\gamma^* \to \eta \eta \gamma$. Our results show that the kinematical higher-twist corrections account for $\sim 20\%$ of the cross sections at BESIII on the average, and it is necessary to include them if one tries to extract GDAs from experimental measurements precisely. We also comment the case of $\pi^0 \eta$ production which is important for the search of hybrid mesons.
Submission history
From: Qin-Tao Song [view email][v1] Thu, 13 Apr 2023 10:43:40 UTC (451 KB)
[v2] Tue, 13 Jun 2023 06:12:51 UTC (455 KB)
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