Nuclear Physics B ( IF 2.5 ) Pub Date : 2020-05-25 , DOI: 10.1016/j.nuclphysb.2020.115054 Xiangdong Ji , Yizhuang Liu , Yu-Sheng Liu
We study Euclidean formulations of the transverse-momentum-dependent (TMD) soft function, which is a cross section for soft gluon radiations involving color charges moving in two conjugate lightcone directions in quantum chromodynamics. We show it is related to a special form factor of a pair of color sources traveling with nearly-lightlike velocities, which can be matched to TMD physical observables in semi-inclusive deep-inelastic scattering and Drell-Yan process in the framework of large momentum effective theory. It can also be extracted by combining a large-momentum form factor of light meson and its leading TMD wave function. These formulations are useful for initiating nonperturbative calculations of this useful quantity.
中文翻译:
大动量有效理论的TMD软函数
我们研究了横动量依赖性(TMD)软功能的欧几里得公式,该公式是涉及涉及色电荷在量子色动力学中沿两个共轭光锥方向移动的软胶子辐射的横截面。我们表明它与一对以接近光速传播的色源的特殊形状因子有关,可以与半包容性深非弹性散射和Drell-Yan过程在大动量框架下与TMD物理观测值相匹配有效的理论。也可以通过组合轻介子的大动量形状因子及其领先的TMD波函数来提取它。这些公式可用于启动此有用量的非扰动计算。