The recursive structure of Baikov representations I: generics and application to symbology

Autor:	Jiang, Xuhang, Yang, Li Lin
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Theory
Zdroj:	Phys. Rev. D 108 (2023) 7, 076004
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.108.076004
Popis:	In this paper, we explore the recursive structure of Baikov representations for Feynman integrals. We demonstrate that the various Baikov representations for all sectors of an integral family can be organized in a tree-like structure. Using this structure, we show that the symbol letters of one-loop Feynman integrals can be written in terms of minors of a matrix associated with the top sector. Non-trivial relations among these symbol letters can then be easily discovered using results from linear algebra. Comment: matched with published version, package BaikovAll.wl added in supplemental material
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.11657 Zobrazit plný text záznamu View this record from Arxiv