One-loop same helicity YM amplitudes from BG currents

Chattopadhyay, Pratik; Krasnov, Kirill

Abstract

We propose and prove a new formula for the one-loop all same helicity Yang-Mills amplitudes. These amplitudes are seen to arise as a sum of products of two tree-level Berends-Giele currents connected by an effective propagator. To make sense of the propagators one needs to introduce the so-called region, or dual momenta. The formula is proven by observing that it readily implies the correct collinear limit properties. The only non-trivial part of the proof is establishing that our formula for the amplitude is invariant under shifts of the region momenta.

Citation

Chattopadhyay, P., & Krasnov, K. (2022). One-loop same helicity YM amplitudes from BG currents. Journal of High Energy Physics, 2022(3), Article 191. https://doi.org/10.1007/JHEP03%282022%29191

• Journal Article Type: Article
• Acceptance Date: Mar 7, 2022
• Online Publication Date: Mar 28, 2022
• Publication Date: Mar 1, 2022
• Deposit Date: Mar 30, 2022
• Publicly Available Date: Mar 30, 2022
• Journal: Journal of High Energy Physics
• Electronic ISSN: 1029-8479
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 2022
• Issue: 3
• Article Number: 191
• DOI: https://doi.org/10.1007/JHEP03%282022%29191
• Keywords: Nuclear and High Energy Physics
• Public URL: https://nottingham-repository.worktribe.com/output/7679594
• Publisher URL: https://link.springer.com/article/10.1007/JHEP03(2022)191