A study of Feynman integrals with uniform transcendental weights and their symbology
文献类型：期刊论文
| 作者 | He, Song1,2,4 ; Li, Zhenjie5; Ma, Rourou3,4; Wu, Zihao3,4; Yang, Qinglin5; Zhang, Yang3,4
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 10页码:165 |
| ISSN号 | 1029-8479 |
| 关键词 | DIFFERENTIAL-EQUATIONS MASTER INTEGRALS CANONICAL BASIS DIAGRAMS EPSILON TOOL |
| DOI | 10.1007/JHEP10(2022)165 |
| 英文摘要 | Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales may have complicated symbol structures, and we show that twistor geometries of closely related dual conformal integrals shed light on their alphabet and symbol structures. In this paper, first, as a cutting-edge example, we derive the two-loop four-external-mass Feynman integrals with uniform transcendental (UT) weights, based on the latest developments on UT integrals. Then we find that all the symbol letters of these integrals can be explained non-trivially by studying the so-called Schubert problem of certain dual conformal integrals with a point at infinity. Certain properties of the symbol such as first two entries and extended Steinmann relations are also studied from analogous properties of dual conformal integrals. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27685]  |
| 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.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 3.UCAS, ICTP AP, Hangzhou 310024, Peoples R China 4.Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China 5.Peng Huanwu Ctr Fundamental Theory, Hefei 230026, Anhui, Peoples R China 6.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | He, Song,Li, Zhenjie,Ma, Rourou,et al. A study of Feynman integrals with uniform transcendental weights and their symbology[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(10):165. |
| APA | He, Song,Li, Zhenjie,Ma, Rourou,Wu, Zihao,Yang, Qinglin,&Zhang, Yang.(2022).A study of Feynman integrals with uniform transcendental weights and their symbology.JOURNAL OF HIGH ENERGY PHYSICS(10),165. |
| MLA | He, Song,et al."A study of Feynman integrals with uniform transcendental weights and their symbology".JOURNAL OF HIGH ENERGY PHYSICS .10(2022):165. |
入库方式： OAI收割
来源：理论物理研究所
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