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A search for sub-eV scalar fields coupling to two photons has been performedvia four-wave mixing at a quasi-parallel laser collider for the first time. Theexperiment demonstrates the novel approach to search for resonantly producedsub-eV scalar fields by combining two-color laser fields in the vacuum. The aimof this paper is to provide the concrete experimental setup and the analysismethod based on specific combinations of polarization states between incomingand outgoing photons, which is extendable to higher intensity laser systemsoperated at high repetition rates. No significant signal of four-wave mixingwas observed by combining a $0.2\mu$J/0.75ns pulse laser and a 2mW CW laser onthe same optical axis. Based on the prescription developed for this particularexperimental approach, we obtained the upper limit at a confidence level of 95%on the coupling-mass relation.

The first search for sub-eV scalar fields via four-wave mixing at a quasi-parallel laser collider