11 July 2022 to 5 August 2022
MIAPbP
Europe/Berlin timezone

Antipodal Duality in Action at Eight Loops

20 Jul 2022, 10:30
1h 30m
MIAPbP

MIAPbP

Speaker

Lance Dixon

Description

I describe a new duality which relates the MHV 6-point scattering amplitude to the 3-point form factor of the chiral stress tensor operator in planar N=4 super-Yang-Mills theory. A bizarre aspect of the duality is its reversal of the order of letters in the symbol (the antipode map). The duality also features a kinematic map from the parity-invariant slice of 6-point kinematics to full form factor kinematics which swaps the role of soft and collinear limits. The form factor was known to 8 loops, one loop order higher than the MHV 6-point amplitude. So we can exploit the duality to determine the amplitude at 8 loops, by lifting its symbol off the parity-invariant surface and completing it to a function. The unique result obtained passes all the usual tests, providing additional evidence for antipodal duality (if you didn’t think 7 loops was enough).

Presentation materials

There are no materials yet.