Computational algebraic geometry methods for the analytic computation of Feynman integrals

by Prof. Yang Zhang (University of Science and Technology of China )

Thursday 16 Sept 2021, 10:00 → 12:00 Asia/Shanghai

Tsung-Dao Lee library/Fourth Floor-410 - 410# Meeting Room (Tsung-Dao Lee Library)

Abstract:

Multi-loop Feynman integrals play a crucial role in modern physics nowadays. With the new developments in unitarity analysis, transcendental functions and differential equations, a lot of complicated Feynman integrals can be evaluated analytically. These new integral results are of great importance for high energy phenomenology, SYM/Supergravity. In this talk, I present the computational algebraic geometry methods for analytic computation of Feynman integrals and demonstrate the power of these methods by (1) module lift method for the searching of integrals with uniformal transcedentality (2) syzygy division for simplifying reduction coefficients.

Biography:

 张扬，中国科学技术大学教授，瑞士自然科学基金会 Ambizione Fellow获得者。他于 Cornell University 获得博士学位，曾先后在丹麦 Bohr Institute、瑞士ETH Zurich、德国 Max-Planck Institute 从事研究工作，致力于量子场论中高圈振幅计算。

Online meeting room: https://meeting.tencent.com/dm/KnC3v5H8GNnh?rs=27

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2021_Shanghai.pdf