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Sub-eV axion-like particles (ALPs) have been searched for by focusingtwo-color near-infrared pulse lasers into a vacuum along a common optical axis.Within the focused quasi-parallel collision system created by combining acreation field ($2.5\,\mathrm{mJ}/47\,\mathrm{fs}$ Ti:Sapphire laser) and abackground inducing field ($1.5\,\mathrm{mJ}/9\,\mathrm{ns}$ Nd:YAG laser), thedetection of signal photons via stimulated resonant photon-photon scattering byexchanging ALPs was attempted in a vacuum chamber. The signal wavelength can bedetermined via energy-momentum conservation in the vacuum, and it coincideswith that determined from the atomic four-wave-mixing (aFWM) process. In thiswork, the pulse energies were one order of magnitude higher than those in theprevious search, allowing aFWM from optical elements to be observed as apressure-independent background for the first time, in addition to theresidual-gas-originating aFWM following a quadratic pressure dependence. Inprinciple the four-wave-mixing process in vacuum via ALP exchanges (vFWM) mustalso be pressure-independent, so the development of a new method fordiscriminating the optical-element aFWM is indispensable for increasing thepulse energies to the values needed for future upgraded searches. In thispaper, we will present the established method for quantifying the yield fromthe optical-element aFWM process based on the beam cross-section dependence.With the new method, the number of signal photons was found to be consistentwith zero. We then successfully obtained a new exclusion region in the relationbetween ALP-photon coupling, $g/M$, and the ALP mass $m$, reaching the mostsensitive point $g/M = 1.14\times10^{-5}\,\mathrm{GeV^{-1}}$ at $m =0.18\,\mathrm{eV}$.

Search for sub-eV axion-like particles in a stimulated resonant  photon-photon collider with two laser beams based on a novel method to  discriminate pressure-independent components