With the development on canonical differential equation, UT integral basis, alphabet structure, the analytic computation on multi-loop multi-leg multi-scale Feynman integrals is promising. In our recent work arXiv:2403.19742, we analytically computed several families of 2loop 6point massless Feynman integrals. This is the first two-loop canonical differential equation computation with eight scales. Our later development finished the computation of all 2loop 6point planar Feynman integrals. On the other hand, we also computed the 3loop pentagon-box-box integral family and the analytic computation of all 3loop 5point planar Feynman integrals is not far away.
Bio:
张扬,中国科学技术大学教授,任职于中科大近代物理系彭桓武高能基础理论研究中心。他于美国康奈尔大学获得博士学位,瑞士自然科学基金会 Ambizione Fellow 获得者,致力于量子场论中高圈振幅,高圈费曼积分的解析计算以及可积自旋链的解析计算。
Prof. Huaxing Zhu