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Main Authors: Ma, Yihan, Zeng, Ding-fang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.04332
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author Ma, Yihan
Zeng, Ding-fang
author_facet Ma, Yihan
Zeng, Ding-fang
contents Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation of scattering amplitudes quickly becomes complicated due to the large number of Feynman integrals required, especially beyond leading order. In this work, we study this problem using effective field theory in the weak field approximation. We utilize Integration-By-Parts reduction techniques to precisely examine the long-range contributions governed by terms in the amplitude which are non-analytic in momentum transfer. Using geometric optics and the eikonal approximation, we derive expressions for the deflection angle and find the origin of differences relative to earlier works.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04332
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational Deflection of Vector Photons via Effective Field Theory
Ma, Yihan
Zeng, Ding-fang
High Energy Physics - Theory
Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation of scattering amplitudes quickly becomes complicated due to the large number of Feynman integrals required, especially beyond leading order. In this work, we study this problem using effective field theory in the weak field approximation. We utilize Integration-By-Parts reduction techniques to precisely examine the long-range contributions governed by terms in the amplitude which are non-analytic in momentum transfer. Using geometric optics and the eikonal approximation, we derive expressions for the deflection angle and find the origin of differences relative to earlier works.
title Gravitational Deflection of Vector Photons via Effective Field Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2502.04332