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arXiv · 2310.19042

Nonperturbative photon $q\bar{q}$ light front wave functions from a contact interaction model

Chao Shi·Zhongtian Yang·Xurong Chen·Wenbao Jia·Cuibai Luo·Wenchang Xiang
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Abstract

We propose a method to calculate the $q\bar{q}$ light front wave functions (LFWFs) of photon at low-virtuality, i.e., the light front amplitude of $γ^*\rightarrow q\bar{q}$ at low $Q^2$, based on a light front projection approach. We exemplify this method using a contact interaction model within Dyson-Schwinger equations formalism and obtain the nonperturbative photon $q\bar{q}$ LFWFs. In this case, we find the nonperturbative effects are encoded in the enhanced quark mass and a dressing function of covariant quark-photon vertex, as compared to the leading order quantum electrodynamics photon $q\bar{q}$ LFWFs. We then use nonperturbative-effect modified photon $q\bar{q}$ LFWFs to study the inclusive deep inelastic scattering HERA data in the framework of the color dipole model. The results demonstrate that the theoretical description of data at low $Q^2$ can be significantly improved once the nonperturbative corrections are included in the photon LFWFs.

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Chao Shi, Zhongtian Yang, Xurong Chen, Wenbao Jia, Cuibai Luo, Wenchang Xiang. 2023-10-29. Nonperturbative photon $q\bar{q}$ light front wave functions from a contact interaction model. https://arxiv.org/abs/2310.19042

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