【115/8/12物理論壇-演講公告】

◎演講者(Speaker)：Shun-Qing Zhang
Max Planck Institute for Physics

◎講 題(Topic)：High-Loop Feynman Integrals: Tropical Monte Carlo Methods and Infrared Structure

◎日 期與時間(Date/Time)：115年8月12日(三) 10:00 AM Wed., Aug. 12, 2026

◎地點(Place)：育成中心3-2 Incubation Center 3-2

◎摘要(Abstract)：
High-loop and multi-scale Feynman integrals remain a major bottleneck in precision calculations and in the study of observables in gauge theories such as QCD and N=4 super Yang-Mills theory. I will present an extension of Borinsky's tropical integration framework to Feynman integrals with numerators, together with a numerical implementation that will be made publicly available. As a key benchmark, I will discuss high-loop integrals arising in N=4 super Yang-Mills theory, including the integrated correlator through eight loops-far beyond the reach of current analytic techniques. Since infrared finiteness is essential for Monte Carlo integration, I will then examine the infrared structure of Feynman integrals from the perspective of permanent pinches. Requiring these pinches to cancel provides a systematic way to construct finite linear combinations of integrals and to study IR-finite observables. This framework applies broadly to massless and mixed massive-massless integrals, as well as non-planar integrals with arbitrary numerators.

~~歡迎參加 Welcome~~