$e^+e^-$湮灭中全包容喷注产生的 Twist-3 效应
Twist-3 effects in fully inclusive jet production from $e^+e^-$ annihilation
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中文总结 AI 辅助
研究利用全包容喷注通过电子-正电子湮灭研究强子化过程，给出计算非极化湮灭过程直至 Twist-3 微分截面的理论框架，考虑电磁和弱相互作用，发现其与领头 Twist 碎裂函数卷积，引入不对称性并估计数值，表明在高能对撞机测量 Twist-3 效应研究强子化机制可行。
中文摘要 AI 辅助
电子-正电子湮灭是研究由碎裂函数描述的强子化过程的理想场所。与基于单包容或半包容湮灭的传统方法不同，使用全包容喷注研究碎裂函数更具优势，能为强子化机制提供新见解，如利用喷注质量探测 Twist-3 手征奇数效应。本文给出了计算非极化湮灭过程直至 Twist-3 的微分截面的系统理论框架，计算考虑了电磁和弱相互作用。发现领头 Twist 碎裂函数与 Twist-3 效应卷积，还引入两个 Twist-3 方位不对称性并给出数值估计，指出因弱相互作用，Twist-3 效应在高能区未被显著抑制，在未来高能电子-正电子对撞机测量其效应来研究强子化机制是可行的。
英文摘要
Electron-positron annihilation is an ideal place to study the hadronization process which is described by fragmentation functions. In contrast to conventional approaches based on single-inclusive or semi-inclusive annihilation, the use of fully inclusive jets to study fragmentation functions is more advantageous. This approach provides novel insight into the underlying hadronization mechanisms. For example, the mass of the jet, which breaks chiral symmetry, can be effectively used to probe twist-3 chiral-odd effects. In this paper, we present a systematic theoretical framework for calculating the differential cross-section up to twist-3 for the unpolarized annihilation process. Calculations take into account both the electromagnetic interaction and weak interaction. We find that leading-twist fragmentation functions are convoluted into the twist-3 effects. This probably provides a new perspective for studying fragmentation functions. To this end, we introduce two twist-3 azimuthal asymmetries and give the corresponding numerical estimates. We notice that the twist-3 effects are not significantly suppressed in high-energy regions due to the presence of the weak interaction. In other words, it is feasible to measure twist-3 effects at future high-energy electron-positron colliders to study hadronization mechanisms.
