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The Harmonic Structure of Multiparticle Scattering: Amplitude Projection and Non-Renormalization
Abstract
We develop a projection formalism for four-dimensional massless scattering amplitudes based on the construction of harmonics on multi-particle phase space. This provides a generalization of the partial-wave decomposition valid for any number of particles. Applying this formalism to calculations of on-shell cuts, we show that any cut calculation can be rewritten as a sum of products of projected coefficients and derive a condition for this sum to vanish. Using the on-shell renormalization group equation in combination with our projection formalism, we derive new non-renormalization theorems for effective field theories valid at general loop orders.
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BibTeX
@misc{craig2026harmonic,
title = {{The Harmonic Structure of Multiparticle Scattering: Amplitude Projection and Non-Renormalization}},
author = {Nathaniel Craig and Brian Henning and Michael Stadlbauer},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36052},
eprint = {2610.36052},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36052},
}
RIS
TY - UNPB
TI - The Harmonic Structure of Multiparticle Scattering: Amplitude Projection and Non-Renormalization
AU - Nathaniel Craig
AU - Brian Henning
AU - Michael Stadlbauer
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36052
UR - https://arxiv.org/abs/2610.36052
AB - We develop a projection formalism for four-dimensional massless scattering amplitudes based on the construction of harmonics on multi-particle phase space. This provides a generalization of the partial-wave decomposition valid for any number of particles. Applying this formalism to calculations of on-shell cuts, we show that any cut calculation can be rewritten as a sum of products of projected coefficients and derive a condition for this sum to vanish. Using the on-shell renormalization group equation in combination with our projection formalism, we derive new non-renormalization theorems for effective field theories valid at general loop orders.
ER -