| Title | Baikov representations, intersection theory, and canonical Feynman integrals |
| Authors | Chen, Jiaqi Jiang, Xuhang Ma, Chichuan Xu, Xiaofeng Yang, Li Lin |
| Affiliation | Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China Peking Univ, Sch Phys, Beijing 100871, Peoples R China Peking Univ, State Key Lab Nucl Phys & Technol, Beijing 100871, Peoples R China Univ Bern, Inst Theoret Phys, Sidlerstr 5, CH-3012 Bern, Switzerland Zhejiang Univ, Zhejiang Inst Modern Phys, Dept Phys, Hangzhou 310027, Peoples R China |
| Keywords | DIFFERENTIAL-EQUATIONS METHOD MASTER INTEGRALS EPSILON TOOL |
| Issue Date | 11-Jul-2022 |
| Publisher | JOURNAL OF HIGH ENERGY PHYSICS |
| Abstract | The method of canonical differential equations is an important tool in the calculation of Feynman integrals in quantum field theories. It has been realized that the canonical bases are closely related to d-dimensional d log-form integrands. In this work, we explore the generalized loop-by-loop Baikov representation, and clarify its relation and difference with Feynman integrals using the language of intersection theory. We then utilize the generalized Baikov representation to construct d-dimensional d log-form integrands, and discuss how to convert them to Feynman integrals. We describe the technical details of our method, in particular how to deal with the difficulties encountered in the construction procedure. Our method provides a constructive approach to the problem of finding canonical bases of Feynman integrals, and we demonstrate its applicability to complicated scattering amplitudes involving multiple physical scales. |
| URI | http://hdl.handle.net/20.500.11897/649125 |
| ISSN | 1029-8479 |
| DOI | 10.1007/JHEP07(2022)066 |
| Indexed | SCI(E) |
| Appears in Collections: | 物理学院 其他实验室 核物理与核技术国家重点实验室 |
