AI 中文总结
介绍费曼积分解析结构的新进展，阐述两类新约束，它们在维数正规化各阶次成立，为朗道自举法提供新输入，借助费曼积分奇点和间断信息构建函数形式。
AI 中文摘要
我们描述了在理解费曼积分解析结构方面的最新进展。特别地，我们描述了对此类积分的两类新约束，它们能识别出要么不可重复，要么总是产生相同结果（无论先计算其他哪些间断）的间断。这些新约束在维数正规化的所有阶次都成立，为朗道自举法提供了新输入，在该方法中利用单个费曼积分的奇点和间断信息来构建其函数形式。
英文摘要
We describe recent advances in our understanding of the analytic structure of Feynman integrals. In particular, we describe two new classes of constraints on such integrals, that identify discontinuities that either cannot be repeated, or that always give rise to the same result (no matter which other discontinuities are computed first). These new constraints hold at all orders in dimensional regularization, and provide us with new input for the Landau bootstrap, where information about the singularities and discontinuities of individual Feynman integrals is used to construct their functional form.
Comments10 pages, talk given at Loops and Legs 2026
