21–24 Sept 2021
DESY Hamburg
Europe/Berlin timezone

Six-Loops in N=4 super-Yang-Mills Theory

23 Sept 2021, 09:35
20m
Seminar room 2

Seminar room 2

Strings & Mathematical Physics Parallel Sessions: String & Mathematical Physics

Speaker

Alex Edison (Uppsala University)

Description

We construct the complete (planar and non-planar) integrand for the
six-loop four-point amplitude in maximal $D\le10$ super-Yang-Mills.
This construction employs new advances to help combat the
proliferation of state-sums and loops in the evaluation of
multi-loop $D$-dimensional unitarity cuts. Concretely, we introduce
two graph-based approaches, applicable in a range of theories, to
evaluating generalized unitarity cuts in $D$ dimensions: 1)
recursively from lower-loop cuts, or 2) directly from known
higher-loop planar cuts. Neither method relies on explicit state
sums or any sewing of tree-level amplitudes. The first method
meshes particularly well with the Method of Maximal Cuts to allow
direct construction of the complete six-loop integrand

Do you wish to attend the workshop on-site? yes

Primary author

Alex Edison (Uppsala University)

Co-authors

John Joseph Carrasco (Northwestern University & CEA-Saclay) Prof. Henrik Johansson (Uppsala university)

Presentation materials