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
DOIhttp://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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