从首阶拟合到DVCS数据的边界和偏度函数
Border and skewness functions from a leading order fit to DVCS data
摘要：
我们提出了新的参数化的边界和偏度函数出现在描述的三维核子结构的语言中的广义Parton分布（GPD）。这些参数化是以满足GPD的基本性质的方式构造的，如它们简化为部分子密度函数和弹性形状因子。它们还依赖于GPD在$x \to 1$极限下的幂行为和GPD的Mellin矩的所提出的解析性质。我们评估康普顿形状因子（CFFs），深虚康普顿散射（DVCS）过程的子振幅，在领先的顺序和领先的扭曲精度。我们限制了这些新的参数化在全球CFF分析几乎所有现有的质子DVCS测量的自由参数的数量有限。拟合在PARTONS框架内进行，PARTONS框架是通用GPD研究的现代工具。这种CFF拟合的一个显着特点是基于副本方法的不确定性的仔细传播。拟合结果确实允许核子层析成像，并可能对作用于部分子的力的分布提供一些见解。
英文摘要：
We propose new parameterizations for the border and skewness functions appearing in the description of 3D nucleon structure in the language of Generalized Parton Distributions (GPDs). These parameterizations are constructed in a way to fulfill the basic properties of GPDs, like their reduction to Parton Density Functions and Elastic Form Factors. They also rely on the power behavior of GPDs in the $x \to 1$ limit and the propounded analyticity property of Mellin moments of GPDs. We evaluate Compton Form Factors (CFFs), the sub-amplitudes of the Deeply Virtual Compton Scattering (DVCS) process, at the leading order and leading twist accuracy. We constrain the restricted number of free parameters of these new parameterizations in a global CFF analysis of almost all existing proton DVCS measurements. The fit is performed within the PARTONS framework, being the modern tool for generic GPD studies. A distinctive feature of this CFF fit is the careful propagation of uncertainties based on the replica method. The fit results genuinely permit nucleon tomography and may give some insight into the distribution of forces acting on partons.
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