Transverse Λ polarization in e+e− collisions

Transverse Λ polarization in e+e− collisions
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e eâ 碰撞中的横向 δ 极化

DOI:
10.1016/j.physletb.2021.136371
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发表时间:
2021
期刊:
影响因子:
4.4
通讯作者:
Zhao, Fanyi
Zhao, Fanyi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Gamberg, Leonard;Kang, Zhong-Bo;Shao, Ding Yu;Terry, John;Zhao, Fanyi

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本文研究了单包轻子湮灭中Λ超子的横向极化。我们证明了当测量Λ重子相对于推力轴的横动量时,需要一个与横动量相关的(TMD)分解形式,并且极化是由TMD极化碎裂函数(TMD PFF)D1 T产生的.然而,当Λ重子的横动量相对于初始轻子的动量被测量时,需要一个共线扭曲-3形式,并且极化是由内禀共线扭曲-3碎裂函数DT产生的。因此,虽然这些测量彼此之间的差异仅在于测量轴的变化,但它们探测不同的分布函数。最近,贝儿测量了单包Λ重子产生中的一个重要的极化,它是相对于推力轴的横动量的函数。然而,这些数据原则上可以被重新分析,以测量作为Λ重子相对于轻子对的横动量的函数的极化。这个可观测值可能是函数DT的第一个重要探测器。在本文中,我们首先发展了一个TMD形式的Λ偏振,然后我们提出了一个最近的扭曲3形式的建立来描述Λ偏振。使用TMD形式主义,我们证明了OPAL和贝儿的Λ极化可以使用twist-2 TMD因子分解形式主义来描述。最后,我们在贝儿的共线扭曲-3形式主义的这种偏振的理论预测。
In this paper we study transverse polarization of Λ hyperons in single-inclusive leptonic annihilation. We show that when the transverse momentum of the Λ baryon is measured with respect to the thrust axis, a transverse momentum dependent (TMD) factorization formalism is required and the polarization is generated by the TMD polarizing fragmentation function (TMD PFF), D 1 T⊥. However, when the transverse momentum of the Λ baryon is measured with respect to the momentum of the initial leptons, a collinear twist-3 formalism is required and the polarization is generated by the intrinsic collinear twist-3 fragmentation function D T. Thus while these measurements differ from one another only by a change in the measurement axis, they probe different distribution functions. Recently, Belle measured a significant polarization in single-inclusive Λ baryon production as a function of the transverse momentum with respect to the thrust axis. However, this data can in principle be re-analyzed to measure the polarization as a function of the transverse momentum of the Λ baryon with respect to the lepton pair. This observable could be the first significant probe of the function, D T. In this paper, we first develop a TMD formalism for Λ polarization; we then present a recent twist-3 formalism that was established to describe Λ polarization. Using the TMD formalism, we demonstrate that the Λ polarization at OPAL and Belle can be described using the twist-2 TMD factorization formalism. Finally, we make a theoretical prediction for this polarization in the collinear twist-3 formalism at Belle.
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