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Main Authors: Duary, Sarthak, Ray, Pabitra
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.20918
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author Duary, Sarthak
Ray, Pabitra
author_facet Duary, Sarthak
Ray, Pabitra
contents When a set of charged or dyonic objects scatter and subsequently disperse, the process generically emits electromagnetic radiation. The classical soft photon theorem constrains the constant term and leading power-law fall-off of the emitted waveform at asymptotic times solely in terms of the momenta and charges of the incoming and outgoing particles. In this work, we extend the analysis to include the full tower of subleading corrections in the late-time and early-time expansion of the electric and magnetic waveforms, providing explicit expressions that depend only on the kinematic data and the electric and magnetic charges of the scattered objects. Using independent electric and magnetic potentials, we compute the full classical soft expansion for general dyonic scattering. We provide explicit, recursive expressions for the trajectory coefficients and the resulting electric and magnetic waveforms. The resulting soft expansion exhibits manifest covariance under the electric-magnetic duality. The electric and magnetic waveforms transform as an $SO(2)$ doublet under electric-magnetic duality. This provides a non-trivial consistency check on our formulation. For the specific case of two-body scattering, we obtain resummed expressions for the waveforms in both the time and frequency domains.
format Preprint
id arxiv_https___arxiv_org_abs_2511_20918
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Magnetic corrections to the classical soft photon theorems at all orders
Duary, Sarthak
Ray, Pabitra
High Energy Physics - Theory
When a set of charged or dyonic objects scatter and subsequently disperse, the process generically emits electromagnetic radiation. The classical soft photon theorem constrains the constant term and leading power-law fall-off of the emitted waveform at asymptotic times solely in terms of the momenta and charges of the incoming and outgoing particles. In this work, we extend the analysis to include the full tower of subleading corrections in the late-time and early-time expansion of the electric and magnetic waveforms, providing explicit expressions that depend only on the kinematic data and the electric and magnetic charges of the scattered objects. Using independent electric and magnetic potentials, we compute the full classical soft expansion for general dyonic scattering. We provide explicit, recursive expressions for the trajectory coefficients and the resulting electric and magnetic waveforms. The resulting soft expansion exhibits manifest covariance under the electric-magnetic duality. The electric and magnetic waveforms transform as an $SO(2)$ doublet under electric-magnetic duality. This provides a non-trivial consistency check on our formulation. For the specific case of two-body scattering, we obtain resummed expressions for the waveforms in both the time and frequency domains.
title Magnetic corrections to the classical soft photon theorems at all orders
topic High Energy Physics - Theory
url https://arxiv.org/abs/2511.20918