Cross Sections For Scattering Of Graviton With Photon In Large Extra Dimensional Model

Motivated by the experimental detections of the electromagnetic response to the high frequency gravitational waves plus the phenomenological explorations into the extra dimensional models in unified field theory, the relevant processes involving Kaluza-Klein (KK) gravitons being scattered with photons have been analyzed within the framework of large extra dimensional model (LED), where the unpolarized differential cross sections, which represents the scattering probability, are calculated. Furthermore, the same physical processes in both the linearized quantum gravity (LQG) and the general relativity (GR) sectors are studied under the same perturbation orders, respectively. A comparison of the results in LED, LQG and GR scenarios are presented. It is found that they are all strongly peaked in the forward directions; besides, the results obtained in LED are significantly greater than those in LQG, which arises from the contributions of the summations over the numerous KK-states modes of graviton due to the existence of the extra dimensions in ED scenarios. Furthermore, the corresponding differential cross sections in LED will decrease with the increment of extra dimensions.The present work will shed light on the following physical aspects: the experimental guide of the detections of the high frequency gravitational waves (GWs), the phonological studies on the (large) extra dimensional model and the theoretical explorations into the ultimate quantum gravity.