论文标题
QCD中的硬散射过程进行了大规模的2和3环校正
Massive 2- and 3-loop corrections to hard scattering processes in QCD
论文作者
论文摘要
随着围栏可用的实验精度的提高，需要高阶扰动计算以减少理论不确定性，以便提取至关重要的QCD参数，例如强耦合常数，以达到所需的精度，通常是百分之一。因此，在诸如深弹性散射之类的耐药过程中需要考虑大量魅力和底部夸克的贡献。在本文中，我们计算订购$α_s^3 $对扭曲的两种量贡献twist-two两极分化的操作员矩阵元素$ a_ {gg，q}^{（3）} $和$ a_ {qQ}^{（3），PS}，ps} $作为重夸克质量比率的功能。我们讨论了这些对象的数学结构，并讨论了它们对它们计算的可变风味数量方案以及数学和计算机代数方面的现象学重要性。我们进一步解决了重型夸克对结构函数的方案不变进化的影响，并引入了一个福特库进行评估。我们还讨论了用于部分线性差方程的求解器的计算机代数实现。
With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the required precision, often the order of one percent. For this reason, the contributions of the massive charm and bottom quarks need to be taken into account in hadronic processes such as deep-inelastic scattering. In this thesis, we calculate to order $α_s^3$ the two-mass contributions to the twist-two polarized operator matrix elements $A_{gg,Q}^{(3)}$ and $A_{Qq}^{(3),PS}$ as functions of the heavy quark mass ratio. We discuss the mathematical structure of these objects and discuss their phenomenological importance for the variable flavour number scheme and mathematical and computer-algebraic aspects of their calculation. We further address the impact of the heavy quarks to the scheme-invariant evolution of structure functions and introduce a Fortran library for their evaluation. We also discuss a computer algebra implementation of a solver for partial linear difference equations.
