分类: 物理学 >> 基本粒子与场物理学 提交时间: 2024-03-08
摘要: Basing on Mellin-Barnes representations and Miller’s transformation, we present the Gel’fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems of the four-loop vacuum Feynman integrals with arbitrary masses. Through the GKZ hypergeometric systems, the analytical hypergeometric series solutions of the four-loop vacuum Feynman integrals with arbitrary masses can be obtained in neighborhoods of origin including infinity. The analytical expressions of the four-loop vacuum Feynman integrals can be formulated as a linear combination of the corresponding fundamental solution systems in certain convergent region.