Notes on the one-loop amplituhedron and its BCFW tiling
Ran J. Tessler
TL;DR
This paper extends the proof of the BCFW conjecture from tree-level to one-loop amplituhedra, providing deeper mathematical insights into scattering amplitudes in quantum field theories.
Contribution
It offers a novel extension of the amplituhedron framework to one-loop cases, building on previous tree-level proofs and exploring BCFW tilings.
Findings
Extended the BCFW conjecture proof to one-loop amplituhedra
Analyzed the structure of one-loop amplituhedra and their BCFW tilings
Provided mathematical insights into scattering amplitudes in quantum field theories
Abstract
These notes are based on talks I gave in the seminar "Mathematical structures in scattering amplitudes in quantum field theories" I organized in Weizmann Institute on Fall 24'. They study amplituhedra, and extend the proof of \cite{even2021amplituhedron} of the BCFW conjecture for tree amplituhedra to one loop.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuasicrystal Structures and Properties · Mathematics and Applications · Black Holes and Theoretical Physics