Improved modeling for dark photon detection with dish antennas

Author:

Gué Jordan12ORCID,Hees Aurélien12ORCID,Wolf Peter12ORCID,Savalle Etienne3ORCID,Chevalier Laurent3ORCID,Brun Pierre3

Affiliation:

1. SYRTE

2. Sorbonne Université

3. IRFU

Abstract

A vector dark matter candidate, also known as dark photon, would induce an oscillating electric field through kinetic mixing. One detection strategy uses a spherical reflector to focus the induced emission at its center of curvature. First, we investigate the effects of diffraction in this type of experiment from an analytical standpoint, making use of the Kirchhoff integral theorem in the low-curvature dish limit. Next, we estimate the impact of mode matching, in the case of detection by a pyramidal horn antenna. We show that the expected signal intensity can be significantly reduced compared to usual estimates. Our method is applied to the reinterpretation of the SHUKET experiment data, the results of which are shown to be degraded by a factor of 50 due to both diffraction and mode matching. The analytical method allows optimizing some experimental parameters to gain sensitivity in future runs. Our results can be applied to any dish antenna experiment using a low-curvature reflector. Published by the American Physical Society 2024

Funder

Centre National de la Recherche Scientifique

Institut national des sciences de l’Univers

Institut de physique

Institut National de Physique Nucléaire et de Physique des Particules

Centre National d’Etudes Spatiales

H2020 European Research Council

Horizon 2020 Framework Programme

Publisher

American Physical Society (APS)

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