Comments on all-loop constraints for scattering amplitudes and Feynman integrals
文献类型：期刊论文
| 作者 | He, Song1,2,3,4 ; Li, Zhenjie2,4; Yang, Qinglin2,4
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 1页码:73 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP01(2022)073 |
| 英文摘要 | We comment on the status of Steinmann-like constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar N = 4 super-Yang-Mills, which have been crucial for the recent progress of the bootstrap program. Based on physical discontinuities and Steinmann relations, we first summarize all possible double discontinuities (or first-two-entries) for (the symbol of) amplitudes and integrals in terms of dilogarithms, generalizing well-known results for n = 6, 7 to all multiplicities. As our main result, we find that extended-Steinmann relations hold for all finite integrals that we have checked, including various ladder integrals, generic double-pentagon integrals, as well as finite components of two-loop NMHV amplitudes for any n; with suitable normalization such as minimal subtraction, they hold for n = 8 MHV amplitudes at three loops. We find interesting cancellation between contributions from rational and algebraic letters, and for the former we have also tested cluster-adjacency conditions using the so-called Sklyanin brackets. Finally, we propose a list of possible last-two-entries for MHV amplitudes up to 9 points derived from (Q) over bar equations, which can be used to reduce the space of functions for higher-point MHV amplitudes. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27703]  |
| 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.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 2.UCAS, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Hangzhou 310024, Peoples R China 3.Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China 4.ICTP AP Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Song,Li, Zhenjie,Yang, Qinglin. Comments on all-loop constraints for scattering amplitudes and Feynman integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(1):73. |
| APA | He, Song,Li, Zhenjie,&Yang, Qinglin.(2022).Comments on all-loop constraints for scattering amplitudes and Feynman integrals.JOURNAL OF HIGH ENERGY PHYSICS(1),73. |
| MLA | He, Song,et al."Comments on all-loop constraints for scattering amplitudes and Feynman integrals".JOURNAL OF HIGH ENERGY PHYSICS .1(2022):73. |
入库方式： OAI收割
来源：理论物理研究所
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