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Li, Z; Wang, J; Yan, QS; Zhao, XR; Zhao, XR (reprint author), Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.; Li, Z (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Wang, J (reprint author), Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany.; Wang, J (reprint author), Johannes Gutenberg Univ Mainz, Mainz Inst Theoret Phys, D-55099 Mainz, Germany.; Zhao, XR (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.; Yan, QS (reprint author), Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China.
Efficient numerical evaluation of Feynman integrals
Source PublicationCHINESE PHYSICS C
Language英语
KeywordSector Decomposition Quasi-monte Carlo Higgs
AbstractFeynman 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.
2016
Volume40Issue:3Pages:33103
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1674-1137/40/3/033103
Indexed BySCI
Funding OrganizationNatural Science Foundation of China [11305179 11475180] ; Natural Science Foundation of China [11305179 11475180] ; Natural Science Foundation of China [11305179 11475180] ; Natural Science Foundation of China [11305179 11475180] ; Youth Innovation Promotion Association, CAS, IHEP Innovation [Y4545170Y2] ; Youth Innovation Promotion Association, CAS, IHEP Innovation [Y4545170Y2] ; Youth Innovation Promotion Association, CAS, IHEP Innovation [Y4545170Y2] ; 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] ; 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] ; 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] ; 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] ; Cluster of Excellence Precision Physics, Fundamental Interactions and Structure of Matter [PRISMA-EXC 1098] ; Cluster of Excellence Precision Physics, Fundamental Interactions and Structure of Matter [PRISMA-EXC 1098] ; Cluster of Excellence Precision Physics, Fundamental Interactions and Structure of Matter [PRISMA-EXC 1098]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21743
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLi, Z; Yan, QS; Zhao, XR (reprint author), Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.; Li, Z (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China.; Wang, J (reprint author), Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany.; Wang, J (reprint author), Johannes Gutenberg Univ Mainz, Mainz Inst Theoret Phys, D-55099 Mainz, Germany.; Zhao, XR (reprint author), Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China.; Yan, QS (reprint author), Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China.
Recommended Citation
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.,Zhao, XR .,...&Yan, QS .(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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