两个用于NNLO QCD矢量玻色子融合过程的Feynman积分族
Two Feynman integral families for vector boson fusion at NNLO QCD
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中文总结 AI 辅助
本文为矢量玻色子融合产生希格斯玻色子的NNLO QCD修正构造了两个两圈Feynman积分族，建立满足七变量规范微分方程的基积分，处理嵌套平方根，并用数值积分求解ε展开积分。
中文摘要 AI 辅助
我们考虑在矢量玻色子融合产生Higgs玻色子的不可因子化量子色动力学修正中出现的平面和非平面两圈Feynman积分族。我们构造了满足关于外部运动学七个变量和一个内部质量的规范微分方程的基积分。其中一个积分族涉及嵌套平方根。我们提出了推导规范主积分、dlog形式和此类情况解析延拓的策略。包括具有交叉无质量腿的族，我们将ε展开的积分表示为代数独立函数基。对于它们的求值，我们采用微分方程的数值积分。
英文摘要
We consider a planar and a non-planar two-loop Feynman integral family arising in non-factorisable quantum chromodynamics corrections to Higgs-boson production via vector boson fusion. We construct basis integrals which fulfil canonical differential equations with respect to seven variables for the external kinematics and an internal mass. One of the integral families involves nested square roots. We present strategies for deriving canonical master integrals, $\mathrm{d}\log$ forms and analytic continuation for such cases. Including also families with crossed massless legs, we express the $\varepsilon$-expanded integrals in terms of an algebraically independent function basis. For their evaluation, we employ numerical integration of the differential equations.
发表机构
- Institute for Theoretical Physics, University of Regensburg（雷根斯堡大学理论物理研究所）
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