Subleading Chern-Simons soft factors in perturbative de Sitter
Abstract
Chern--Simons perturbations introduce corrections to soft theorems for gauge theories at subleading πͺ(Ο0) order in soft momenta. We investigate these soft theorems in flat spacetime with perturbative 1/β2 de Sitter corrections. Following previous works, we define the perturbative scattering matrix in a compact region in the static patch of de Sitter. We start with computing the soft theorem for an n-gluon amplitude in pure Yang--Mills. We then add a Chern--Simons perturbation and compute the correction to the subleading soft theorem. We show that Chern--Simons corrections do not mix with the 1/β2 de Sitter curvature corrections at subleading order πͺ(Ο0). Alternatively, one can say that the subleading Chern--Simons soft factors are insensitive to the de Sitter curvature at this order, indicating their topological nature at the level of amplitudes. This also suggests a universal behavior of these Chern--Simons soft factors.
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BibTeX
@misc{chattopadhyay2026subleading,
title = {{Subleading Chern-Simons soft factors in perturbative de Sitter}},
author = {Pratik Chattopadhyay and Avi Wadhwa},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2605.05130},
eprint = {2605.05130},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.05130},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Subleading Chern-Simons soft factors in perturbative de Sitter
AU - Pratik Chattopadhyay
AU - Avi Wadhwa
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2605.05130
UR - https://arxiv.org/abs/2605.05130
AB - Chern--Simons perturbations introduce corrections to soft theorems for gauge theories at subleading πͺ(Ο^0) order in soft momenta. We investigate these soft theorems in flat spacetime with perturbative 1/β^2 de Sitter corrections. Following previous works, we define the perturbative scattering matrix in a compact region in the static patch of de Sitter. We start with computing the soft theorem for an n-gluon amplitude in pure Yang--Mills. We then add a Chern--Simons perturbation and compute the correction to the subleading soft theorem. We show that Chern--Simons corrections do not mix with the 1/β^2 de Sitter curvature corrections at subleading order πͺ(Ο^0). Alternatively, one can say that the subleading Chern--Simons soft factors are insensitive to the de Sitter curvature at this order, indicating their topological nature at the level of amplitudes. This also suggests a universal behavior of these Chern--Simons soft factors.
ER -