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题名: Efficient numerical evaluation of Feynman integrals
作者: Li, Z ;  Wang, J ;  Yan, QS ;  Zhao, XR
刊名: CHINESE PHYSICS C
出版日期: 2016
卷号: 40, 期号:3, 页码:33103
关键词: sector decomposition ;  quasi-Monte Carlo ;  Higgs
学科分类: Physics
DOI: http://dx.doi.org/10.1088/1674-1137/40/3/033103
通讯作者: Li, Z ;  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. ;  Yan, QS ;  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.
文章类型: Article
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.
类目[WOS]: Physics, Nuclear ;  Physics, Particles & Fields
关键词[WOS]: MULTILOOP INTEGRALS ;  SECTOR DECOMPOSITION ;  HADRON COLLIDERS ;  HIGGS-STRAHLUNG ;  BOSON ;  CONVERGENCE ;  ALGORITHM ;  LHC
收录类别: SCI
项目资助者: 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]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21743
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Li, Z,Wang, J,Yan, QS,et al. Efficient numerical evaluation of Feynman integrals[J]. CHINESE PHYSICS C,2016,40(3):33103.
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