Remarks on Compton forward scattering singularity in the NCQED

J. Trampetic; J. You

doi:10.1140/epjc/s10052-025-13951-2

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 268
https://doi.org/10.1140/epjc/s10052-025-13951-2

Regular Article - Theoretical Physics

Remarks on Compton forward scattering singularity in the NCQED

J. Trampetic¹^,2^a and J. You³

¹ Ruđer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
² Max-Planck-Institut für Physik, (Werner-Heisenberg-Institut), Boltzmannstraße 8, 85748, Garching bei München, Germany
³ Division of Physical Chemistry, Ruđer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia

^a josip.trampetic@irb.hr, trampeti@mppmu.mpg.de

Received: 1 December 2024
Accepted: 19 February 2025
Published online: 11 March 2025

Abstract

We investigate the behaviour of head-to-head high energy Compton scattering in the $θ$ $\theta$ -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 $s / Λ_{NC}^{2},$ $s/\varLambda _\textrm{NC}^2,$ 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 $Λ_{NC} ≳ 1$ $\varLambda _\textrm{NC}\gtrsim 1$ TeV.

© The Author(s) 2025

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