When tunneling events induced by nontrivial configurations of the quantum chromodynamics gauge fields are taken into consideration, parity violating quantities emerge. Based on this consideration, parity-odd fragmentation functions can be introduced in the high energy reactions. In this paper, we calculate the differential cross-section in terms of both the parity-even and parity-odd fragmentation functions in semi-inclusive electron positron annihilation process. Semi-inclusive implies that not only a vector meson in one jet but also the back-to-back jet is measured in this reaction. According to the differential cross-section, we further calculate the azimuthal asymmetries and hadron polarizations in terms of fragmentation functions. A method of measuring the parity violating effects in the semi-inclusive annihilation process is suggested.

中文翻译：

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正电子湮没过程中矢量介子的产生

当考虑到由量子色动力学规范场的非平凡配置引起的隧穿事件时，就会出现违反宇称的量。基于此考虑，奇偶奇偶碎裂函数可以引入高能反应中。在本文中，我们计算了半包含电子正电子湮没过程中奇偶校验和奇偶校验碎裂函数的微分截面。半包容意味着在该反应中不仅测量一个射流中的矢量介子，而且测量背靠背射流。根据微分截面，我们进一步根据碎裂函数计算方位角不对称性和强子极化。提出了一种测量半包容湮没过程中宇称违反效应的方法。