Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations
文献类型:期刊论文
作者 | Lin, Guanda; Yang, Gang2,3,4,5![]() |
刊名 | PHYSICAL REVIEW LETTERS
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出版日期 | 2021 |
卷号 | 127期号:17页码:171602 |
关键词 | AMPLITUDES UNITARITY |
ISSN号 | 0031-9007 |
DOI | 10.1103/PhysRevLett.127.171602 |
英文摘要 | We obtain full-color three-loop, three-point form factors of the stress-tensor supermultiplet and also of a length-3 half-Bogomol'nyi-Prasad-Sommerfield operator in N = 4 supersymmetric Yang-Mills (SYM) theory based on the color-kinematics duality and on-shell unitarity. The integrand results are verified by all planar and nonplanar unitarity cuts, and they satisfy the minimal power counting of loop momenta and diagrammatic symmetries. Interestingly, these three-loop solutions, while manifesting all dual Jacobi relations, contain a large number of free parameters; in particular, there are 24 free parameters for the form factor of the stress-tensor supermultiplet. Such degrees of freedom are due to a new type of generalized gauge transformation associated with the operator insertion for form factors. We also perform numerical integration and obtain consistent full-color infrared divergences and the known planar remainder. The form factors we obtain can be understood as the N = 4 SYM counterparts of three-loop Higgs plus three-gluon amplitudes in QCD and are expected to provide the maximally transcendental parts of the latter. |
学科主题 | Physics |
语种 | 英语 |
源URL | [http://ir.itp.ac.cn/handle/311006/27676] ![]() |
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.UCAS, Int Ctr Theoret Phys Asia Pacific Beijing Hangzho, Beijing 100190, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.Peking Univ, Sch Phys, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Guanda,Yang, Gang,Zhang, Siyuan. Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations[J]. PHYSICAL REVIEW LETTERS,2021,127(17):171602. |
APA | Lin, Guanda,Yang, Gang,&Zhang, Siyuan.(2021).Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations.PHYSICAL REVIEW LETTERS,127(17),171602. |
MLA | Lin, Guanda,et al."Three-Loop Color-Kinematics Duality: A 24-Dimensional Solution Space Induced by New Generalized Gauge Transformations".PHYSICAL REVIEW LETTERS 127.17(2021):171602. |
入库方式: OAI收割
来源:理论物理研究所
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