中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Efficient numerical evaluation of Feynman integrals

文献类型:期刊论文

作者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.; Wang, J; Yan, QS; Zhao, XR; 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.
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
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
源URL[http://ir.itp.ac.cn/handle/311006/21743]  
专题理论物理研究所_理论物理所1978-2010年知识产出
通讯作者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.; Yan, QS; 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.
推荐引用方式
GB/T 7714
Zhao, XR ,Yan, QS ,Wang, J,et al. Efficient numerical evaluation of Feynman integrals[J]. CHINESE PHYSICS C,2016,40(3):33103.
APA Zhao, XR .,Yan, QS .,Wang, J.,Yan, QS.,Zhao, XR.,...&Wang, J .(2016).Efficient numerical evaluation of Feynman integrals.CHINESE PHYSICS C,40(3),33103.
MLA Zhao, XR ,et al."Efficient numerical evaluation of Feynman integrals".CHINESE PHYSICS C 40.3(2016):33103.

入库方式: OAI收割

来源:理论物理研究所

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