Efficient numerical evaluation of Feynman integrals | |
Li, Z2; Wang, J3,4; Yan, QS; Zhao, XR | |
刊名 | CHINESE PHYSICS C |
2016 | |
卷号 | 40期号:3页码:33103 |
关键词 | sector decomposition MULTILOOP INTEGRALS quasi-Monte Carlo SECTOR DECOMPOSITION Higgs HADRON COLLIDERS HIGGS-STRAHLUNG BOSON CONVERGENCE ALGORITHM LHC |
DOI | http://dx.doi.org/10.1088/1674-1137/40/3/033103 |
英文摘要 | Feynman loop integrals are a key ingredient for the calculation of higher order radiation effects, and are responsible for reliable and accurate theoretical prediction. We improve the efficiency of numerical integration in sector decomposition by implementing a quasi-Monte Carlo method associated with the CUDA/GPU technique. For demonstration we present the results of several Feynman integrals up to two loops in both Euclidean and physical kinematic regions in comparison with those obtained from FIESTA3. It is shown that both planar and non-planar two-loop master integrals in the physical kinematic region can be evaluated in less than half a minute with O(10(-3)) accuracy, which makes the direct numerical approach viable for precise investigation of higher order effects in multi loop processes, e.g. the next-to-leading order QCD effect in Higgs pair production via gluon fusion with a finite top quark mass. |
学科主题 | Physics |
语种 | 英语 |
资助机构 | Natural Science Foundation of China [11305179 11475180] ; Youth Innovation Promotion Association, CAS, IHEP Innovation [Y4545170Y2] ; State Key Lab for Electronics and Particle Detectors, Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF061CJ1] ; Cluster of Excellence Precision Physics, Fundamental Interactions and Structure of Matter [PRISMA-EXC 1098] |
内容类型 | 期刊论文 |
源URL | [http://ir.itp.ac.cn/handle/311006/23126] |
专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
作者单位 | 1.Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany 5.Johannes Gutenberg Univ Mainz, Mainz Inst Theoret Phys, D-55099 Mainz, Germany 6.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Z,Wang, J,Yan, QS,et al. Efficient numerical evaluation of Feynman integrals[J]. CHINESE PHYSICS C,2016,40(3):33103. |
APA | Li, Z,Wang, J,Yan, QS,&Zhao, XR.(2016).Efficient numerical evaluation of Feynman integrals.CHINESE PHYSICS C,40(3),33103. |
MLA | Li, Z,et al."Efficient numerical evaluation of Feynman integrals".CHINESE PHYSICS C 40.3(2016):33103. |
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