Antipodal Symmetry of Two-Loop MHV Amplitudes
- SLAC National Accelerator Lab., Menlo Park, CA (United States), FPD Theory Elem Particle Phys
I present a conjecture that all two-loop MHV amplitudes in planar N = 4 super-Yang-Mills theory possess an antipodal symmetry when evaluated on parity-even kinematics. The symmetry acts as a change of basis on the symbol letters, followed by the antipode operation associated with the Hopf algebra structure of multiple polylogarithms. At the symbol level, I provide the symmetry map explicitly for amplitudes with up to eight external particles, and also provide evidence at all multiplicities. Intriguingly, the map acts as an isomorphism on the normal fans of the Newton polytopes of the symbol letters. The conjectured symmetry is one of the rare known cases where the antipode map shows up in physically important examples.
- Research Organization:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 1878195
- Report Number(s):
- SLAC-PUB-17696
- Country of Publication:
- United States
- Language:
- English