Alphabet of one-loop Feynman integrals  

作　　者：Jiaqi Chen Chichuan Ma Li Lin Yang 陈家麒;马驰川;杨李林(Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China;School of Physics and State Key Laboratory of Nuclear Physics and Technology,Peking University,Beijing 100871,China;Zhejiang Institute of Modern Physics,Department of Physics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]Institute of High Energy Physics,Chinese Academy of Sciences,Beijing 100049,China [2]School of Physics and State Key Laboratory of Nuclear Physics and Technology,Peking University,Beijing 100871,China [3]Zhejiang Institute of Modern Physics,Department of Physics,Zhejiang University,Hangzhou 310027,China

出　　处：《Chinese Physics C》2022年第9期48-61,共14页中国物理C（英文版）

基　　金：the National Natural Science Foundation of China(11975030,11635001,11925506)。

摘　　要：In this paper, we present the universal structure of the alphabet of one-loop Feynman integrals. The letters in the alphabet are calculated using the Baikov representation with cuts. We consider both convergent and divergent cut integrals and observe that letters in the divergent cases can be easily obtained from convergent cases by applying certain limits. The letters are written as simple expressions in terms of various Gram determinants. The knowledge of the alphabet enables us to easily construct the canonical differential equations of the d log form and aids in bootstrapping the symbols of the solutions.

关 键 词：Baikov representation ALPHABET UT basis 

分 类 号：O172.2[理学—数学]