论文标题

深度非弹性散射中的横向能量相关性

Transverse-Energy-Energy Correlations in Deep Inelastic Scattering

论文作者

Li, Hai Tao, Vitev, Ivan, Zhu, Yu Jiao

论文摘要

事件形状可观察物已被广泛用于各种Lepton和Handron Collider的精确QCD研究。我们介绍了深度无弹性散射中横向能量相关事件的最准确计算。在软共线有效理论的框架中,将横截面分解为在背靠背限制中硬函数,光束函数,射流功能和软功能的卷积。建立了与TMD分解的密切连接,因为当与软函数的一部分结合使用时,光束函数与常规的TMD Parton分布函数相同,并且JET函数是TMD片段化函数匹配系数的第二矩。我们通过将所获得的LO和NLO领先单数分布与背靠背限制中的完整QCD计算进行比较来验证我们的框架。我们报告了重新介绍的横向能量 - 能量相关性分布,最高n $^3 $ ll精度与NLO横截面相匹配,用于生产Lepton和两个喷气机。我们的工作为未来的电子离子对撞机提供了一种精确研究TMD物理学的新方法。

Event shape observables have been widely used for precision QCD studies at various lepton and hadron colliders. We present the most accurate calculation of the transverse-energy-energy correlation event shape variable in deep-inelastic scattering. In the framework of soft-collinear effective theory the cross section is factorized as the convolution of the hard function, beam function, jet function and soft function in the back-to-back limit. A close connection to TMD factorization is established, as the beam function when combined with part of the soft function is identical to the conventional TMD parton distribution function, and the jet function is the second moment of the TMD fragmentation function matching coefficient. We validate our framework by comparing the obtained LO and NLO leading singular distributions to the full QCD calculations in the back-to-back limit. We report the resummed transverse-energy-energy correlation distributions up to N$^3$LL accuracy matched with the NLO cross section for the production of a lepton and two jets. Our work provides a new way to precisely study TMD physics at the future Electron-Ion Collider.

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