Discontinuities of Banana Integrals in Dispersion Relation Representation  

作　　者：Xu-Liang Chen Peng-Fei Yang Wei Chen 陈绪梁;杨鹏飞;陈伟(School of Physics,Sun Yat-sen University,Guangzhou 510275,China;Southern Center for Nuclear-Science Theory(SCNT),Institute of Modern Physics,Chinese Academy of Sciences,Huizhou 516000,China)

机构地区：[1]School of Physics,Sun Yat-sen University,Guangzhou 510275,China [2]Southern Center for Nuclear-Science Theory(SCNT),Institute of Modern Physics,Chinese Academy of Sciences,Huizhou 516000,China

出　　处：《Chinese Physics Letters》2024年第11期12-16,共5页中国物理快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12175318);the Natural Science Foundation of Guangdong Province of China(Grant No.2022A1515011922).

摘　　要：We derive the discontinuities of banana integrals using the dispersion relation iteratively,and find a series of identities between the parameterized discontinuities of banana integrals(p-DOBIs).Similar to elliptic integrals,these identities enable the reduction of various p-DOBIs to be a linear combination of some fundamental ones.We present a practical application of p-DOBIs for deriving the Picard–Fuchs operator.Then we establish the expression of generalized dispersion relation,which enables us to obtain the dispersion relation representation of arbitrary banana integrals.Moreover,we propose a hypothesis for generalized dispersion relation and p-DOBIs,which provides a simple way to calculate the discontinuities and transform dispersion relation representation to p-DOBIs.

关 键 词：DISPERSION INTEGRALS enable 

分 类 号：O413[理学—理论物理] O172.2[理学—物理]