Full-color three-loop three-point form factors in N=4 SYM
文献类型:期刊论文
作者 | Lin, Guanda3; Yang, Gang1,2,4,6![]() |
刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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出版日期 | 2022 |
期号 | 3页码:61 |
关键词 | ASYMPTOTIC-BEHAVIOR AMPLITUDES RENORMALIZATION ALGORITHM UNITARITY |
ISSN号 | 1029-8479 |
DOI | 10.1007/JHEP03(2022)061 |
英文摘要 | We present the detailed computation of full-color three-loop three-point form factors of both the stress-tensor supermultiplet and a length-three BPS operator in N = 4 SYM. The integrands are constructed based on the color-kinematics (CK) duality and generalized unitarity method. An interesting observation is that the CK-dual integrands contain a large number of free parameters. We discuss the origin of these free parameters in detail and check that they cancel in the simplified integrands. We further perform the numerical evaluation of the integrals at a special kinematics point using public packages FIESTA and pySecDec based on the sector-decomposition approach. We find that the numerical computation can be significantly simplified by expressing the integrals in terms of uniformly transcendental basis, although the final three-loop computations still require large computational resources. Having the full-color numerical results, we verify that the non-planar infrared divergences reproduce the non-dipole structures, which firstly appear at three loops. As for the finite remainder functions, we check that the numerical planar remainder for the stress-tensor supermultiplet is consistent with the known result of the bootstrap computation. We also obtain for the first time the numerical results of the three-loop non-planar remainder for the stress-tensor supermultiplet as well as the three-loop remainder for the length-three operator. |
学科主题 | Physics |
语种 | 英语 |
源URL | [http://ir.itp.ac.cn/handle/311006/27758] ![]() |
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, Sch Phys, Beijing 100871, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R China 6.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Lin, Guanda,Yang, Gang,Zhang, Siyuan. Full-color three-loop three-point form factors in N=4 SYM[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(3):61. |
APA | Lin, Guanda,Yang, Gang,&Zhang, Siyuan.(2022).Full-color three-loop three-point form factors in N=4 SYM.JOURNAL OF HIGH ENERGY PHYSICS(3),61. |
MLA | Lin, Guanda,et al."Full-color three-loop three-point form factors in N=4 SYM".JOURNAL OF HIGH ENERGY PHYSICS .3(2022):61. |
入库方式: OAI收割
来源:理论物理研究所
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