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Main Authors: Karan, Debanjan, Khatun, Babli, Sahoo, Biswajit, Sen, Ashoke
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.07328
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author Karan, Debanjan
Khatun, Babli
Sahoo, Biswajit
Sen, Ashoke
author_facet Karan, Debanjan
Khatun, Babli
Sahoo, Biswajit
Sen, Ashoke
contents If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at late and early times in terms of only the momenta and charges of the incoming and outgoing objects. In this paper we determine an infinite set of subleading terms in the late and early time expansion of the wave-form, which also depend only on the momenta and charges of the incoming and outgoing particles. For two-particle scattering, we derive a resummed low-frequency electromagnetic wave-form, as well as the resummed wave-form at early and late times. In this analysis we ignore the effect of long range gravitational interaction, but our result is unaffected by any other short range interactions among the objects.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07328
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle All Order Classical Electromagnetic Soft Theorems
Karan, Debanjan
Khatun, Babli
Sahoo, Biswajit
Sen, Ashoke
High Energy Physics - Theory
If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at late and early times in terms of only the momenta and charges of the incoming and outgoing objects. In this paper we determine an infinite set of subleading terms in the late and early time expansion of the wave-form, which also depend only on the momenta and charges of the incoming and outgoing particles. For two-particle scattering, we derive a resummed low-frequency electromagnetic wave-form, as well as the resummed wave-form at early and late times. In this analysis we ignore the effect of long range gravitational interaction, but our result is unaffected by any other short range interactions among the objects.
title All Order Classical Electromagnetic Soft Theorems
topic High Energy Physics - Theory
url https://arxiv.org/abs/2501.07328