Deep inelastic scattering is one of the best place to study hadron structures. In this paper we consider the target fragmentation region deep inelastic scattering process at leading twist. The calculations are carried out by applying the collinear expansion. In the collinear expansion formalism the multiple gluon scattering is taken into account and gauge links are obtained systematically and automatically. Quantum chromodynamics is a non-Abelian gauge theory of strong interactions in which parity symmetry can be violated by the nontrivial [Formula: see text]-vacuum tunneling effects. As a result, the axial vector current is induced. By defining and decomposing the parity-odd correlator we calculate both the parity-even and parity-odd contributions to the cross-section of the target fragmentation region deep inelastic scattering. We also present the positivity bounds for these fracture functions.

中文翻译：

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目标破碎区域的深度非弹性散射

深度非弹性散射是研究强子结构的最佳场所之一。在本文中，我们考虑了目标破碎区域在前导扭曲处的深度非弹性散射过程。通过应用共线展开进行计算。在共线展开形式中，考虑了多胶子散射，系统地自动获得规范链接。量子色动力学是一种强相互作用的非阿贝尔规范理论，其中宇称对称性可以被非平凡的[公式：见正文]-真空隧道效应破坏。结果，感应出轴向矢量电流。通过定义和分解奇偶校验相关器，我们计算奇偶校验和奇偶校验对目标碎片区域深度非弹性散射横截面的贡献。