An experiment of X-ray photon-photon elastic scattering with a Laue-case beam collider

We report a search for photon-photon elastic scattering in vacuum in the X-ray region at an energy in the center of mass system of ωcms=6.5keV for which the QED cross section is σQED=2.5×10−47m2. An X-ray beam provided by the SACLA X-ray Free Electron Laser is split and the two beamlets are made to collide at right angle, with a total integrated luminosity of (1.24±0.08)×1028m−2. No signal X rays from the elastic scattering that satisfy the correlation between energy and scattering angle were detected. We obtain a 95% C.L. upper limit for the scattering cross section of 1.9×10−27m2 at ωcms=6.5keV. The upper limit is the lowest upper limit obtained so far by keV experiments.