Remarks on Compton forward scattering singularity in the NCQED

Abstract We investigate the behaviour of head-to-head high energy Compton scattering in the $$\theta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> -exact NCQED in the amid its unresolved forward scattering singularity. We model the effect of the currently unknown resolution to this unavoidable singularity by cut-offs which are functions of the control variable $$s/\varLambda _\textrm{NC}^2,$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>s</mml:mi> <mml:mo>/</mml:mo> <mml:msubsup> <mml:mi>Λ</mml:mi> <mml:mtext>NC</mml:mtext> <mml:mn>2</mml:mn> </mml:msubsup> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> and find that such cut-off functions can suppress NC contributions 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 visible in the future linear collider experiments when the NC scale $$\varLambda _\textrm{NC}\gtrsim 1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mtext>NC</mml:mtext> </mml:msub> <mml:mo>≳</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> TeV.