Hidden Sector Photon Coupling of Resonant Cavities
Stephen R. Parker, Gray Rybka, Michael E. Tobar

TL;DR
This paper proposes a new method using coupled resonant cavities to detect light paraphotons, potentially improving sensitivity and reducing systematics compared to traditional cavity experiments.
Contribution
It introduces a novel two-way coupling approach that measures frequency shifts in resonant cavities to constrain paraphoton-photon mixing.
Findings
Can improve sensitivity to the mixing parameter chi for certain paraphoton masses.
Eliminates some common systematic errors in resonant cavity experiments.
Provides a new experimental technique for beyond standard model searches.
Abstract
Many beyond the standard model theories introduce light paraphotons, a hypothetical spin-1 field that kinetically mixes with photons. Microwave cavity experiments have traditionally searched for paraphotons via transmission of power from an actively driven cavity to a passive receiver cavity, with the two cavities separated by a barrier that is impenetrable to photons. We extend this measurement technique to account for two-way coupling between the cavities and show that the presence of a paraphoton field can alter the resonant frequencies of the coupled cavity pair. We propose an experiment that exploits this effect and uses measurements of a cavities resonant frequency to constrain the paraphoton-photon mixing parameter, chi. We show that such an experiment can improve sensitivity to chi over existing experiments for paraphoton masses less than the resonant frequency of the cavity,…
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