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One-loop same helicity YM amplitudes from BG currents

Chattopadhyay, Pratik; Krasnov, Kirill

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Pratik Chattopadhyay

Professor of Mathematical Sciences


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.


Chattopadhyay, P., & Krasnov, K. (2022). One-loop same helicity YM amplitudes from BG currents. Journal of High Energy Physics, 2022(3), Article 191.

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
Keywords Nuclear and High Energy Physics
Public URL
Publisher URL


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