论文标题
Higgs玻色子的三环大师积分，具有内部顶级和w玻璃体的自我能源
Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
论文作者
论文摘要
我们考虑具有内部上方和$ W $ - propagators的完整主积分，这些积分有助于三循环higgs的订单$ {\ mathcal o}（α^2α_s）$的三环自我能源图。我们将主积分分为与Feynman图相关的系统，与Yukawa耦合$ y_b y_t $的产品成正比。对于这两个系统，我们定义了均匀重量的主积分，以便相关的微分方程为$ \ varepsilon $ factoriated形式。出现的正方根是合理化的，所有硕士积分在多个多聚载体中均可表达。
We consider the full set of master integrals with internal top-and $W$-propagators contributing to the three-loop Higgs self-energy diagrams of order ${\mathcal O}(α^2 α_s)$. We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings $y_b y_t$ and the complement. For both systems we define master integrals of uniform weight, such that the associated differential equation is in $\varepsilon$-factorised form. The occurring square roots are rationalised and all master integrals are expressible in multiple polylogarithms.
