Remarks on Compton forward scattering singularity in the NCQED

Abstract

We investigate the behaviour of head-to-head high energy Compton scattering in the $\theta$-exact noncommutative (NC) quantum electrodynamics (QED) on the Moyal space (NCQED) in the amid its unresolved forward scattering singularity. We model the effect of the currently unknown resolution to this unavoidable collinear singularity by cut-offs which are functions of the control variable $s/\Lambda_{\rm NC}^2$, and find that such cut-off functions can suppress NC corrections to the inverse Compton scattering to negligible. Discussed cut-offs leave the unpolarised integral cross section of the forward region larger than the backward region all the time, making the former potentially easier to observe. Our estimations indicate that such an effect may be visible in the future collider experiments when the NC scale $\Lambda_{\rm NC}\gtrsim1$ TeV.