Sector decomposition in its practical aspect is a constructive method used to evaluate Feynman integrals numerically. We present a new program performing the sector decomposition and integrating the expression afterwards. The program can be also used in order to expand Feynman integrals automatically in limits of momenta and masses with the use of sector decompositions and Mellin--Barnes representations. The program is parallelizable on modern multicore computers and even on multiple computers. Also we demonstrate some new numerical results for four-loop massless propagator master integrals.
$\mathcal{O} \,(θ)$ Feynman rules for quadrilinear gauge boson couplings in noncommutative standard model
我们研究了非对易标准模型的电弱规范扇区，特别地，得到了所有四线规范玻色子耦合的$\mathcal{O} \,(θ)$ Feynman规则.令人惊讶的是，在非对易标准模型的规范扇区中出现了电弱-色动力学混合，其中光子以及中性弱玻色子直接耦合到三个胶子。从唯象的角度研究了$W^-W^+ \rightarrow Z Z$散射模型，发现散射截面的方位角分布存在一个特征振荡行为，它可以解释为非对易标准模型的直接信号.假设积分亮度为100 $\mathrm{fb}^{-1}$，对不同质心能量下的非对易尺度$Λ_{\mathrm{NC}}$的一些值，估计了$W^-W^+ \rightarrow Z Z$子过程的数目，并将结果与标准模型的预测进行了比较.
Analytic continuations and numerical evaluation of the Appell $F_1$, $F_3$, Lauricella $F_D^{(3)}$ and Lauricella-Saran $F_S^{(3)}$ and their Application to Feynman Integrals
An Algorithm for the Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University（华南师范大学量子物质研究所核物理与技术国家重点实验室）；Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science（广东省核科学重点实验室物质结构与基本相互作用卓越基础研究广东基地）；Beijing Computational Science Research Center（北京计算科学研究中心）；Peng Huanwu Center for Fundamental Theory（彭桓武理论物理中心）；School of Physics, Peking University（北京大学物理学院）；Interdisciplinary Center for Theoretical Study, University of Science and Technology of China（中国科学技术大学理论交叉研究中心）；Center for High Energy Physics, Peking University（北京大学高能物理中心）
The spectrum of Feynman-integral geometries at two loops
Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh（爱丁堡大学物理与天文学院海格斯理论物理中心）；Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University（浙江大学物理学院现代物理研究所）；Physik-Institut, Universität Zürich（苏黎世大学物理研究所）；Leinweber Institute for Theoretical Physics, Randall Laboratory of Physics, University of Michigan（密歇根大学兰德尔物理实验室莱因韦伯理论物理研究所）；Niels Bohr International Academy, Niels Bohr Institute, Copenhagen University（哥本哈根大学尼尔斯玻尔研究所尼尔斯玻尔国际学院）；Center for Quantum Mathematics, Department of Mathematics and Computer Science, University of Southern Denmark（南丹麦大学数学与计算机科学系量子数学中心）；State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University（华南师范大学量子物质研究院核物理与技术国家重点实验室）
Magic Relations and Critical Varieties of Feynman Integrals
Higgs Centre for Theoretical Physics, University of Edinburgh（爱丁堡大学希格斯理论物理中心）；Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University（浙江大学物理学院现代物理研究所）；Institute of Physics, University of Amsterdam（阿姆斯特丹大学物理研究所）；Dipartimento di Fisica e Astronomia, Universita di Padova（帕多瓦大学物理与天文系）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）
Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks
Shandong University（山东大学）；Peking University（北京大学）；The Chinese University of Hong Kong, Shenzhen（香港中文大学（深圳））；Institute of Modern Physics, Chinese Academy of Sciences（中国科学院近代物理研究所）；Nanjing Normal University（南京师范大学）
