Feynman integrals and scattering amplitudes from Wilson loops

by Song He (Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing)

Friday 26 Feb 2021, 11:00 → 13:00 Europe/Berlin

https://mppmu.zoom.us/j/94365739153?pwd=ZkUwbW5FTnpwYWh4akpzZjl3QzZ4dz09

There is a remarkable duality between scattering amplitudes and null polygonal Wilson loops in planar N=4 SYM. We show how to exploit the duality for efficiently computing not only multi-loop amplitudes but also a wide range of Feynman integrals. In particular, for a large class of ladder integrals, we write the L-loop integral as two-fold, dlog integral of some (L-1)-loop integral, which makes it straightforward to obtain the symbol to all loops and even resum certain ladders. As a rather non-trivial example, we show how the method can be used to compute the generic (12-point) double-pentagon integrals, which gives two-loop MHV and (components of) NMHV amplitudes to all multiplicities.