The noncommutative QED threshold energy versus the optimum collision energy

TL;DR

This paper investigates noncommutative QED effects in electron scattering, revealing an optimal collision energy for maximum correction and a linear relation between threshold and optimal energies.

Contribution

It demonstrates the existence of an optimal collision energy for noncommutative corrections and establishes a linear relation between threshold and optimum energies in noncommutative QED.

Findings

Noncommutative corrections are not monotonous with energy.

An optimal collision energy maximizes noncommutative effects.

A linear relation exists between threshold and optimal energies.

Abstract

Moller Scattering and Bhabha Scattering on noncommutative space-time is restudied. It is shown that the noncommutative correction of scattering cross sections is not monotonous enhancement with the total energy of colliding electrons, there is an optimum collision energy to get the greatest noncommutative correction. Most surprisingly, there is a linear relation between the noncommutative QED threshold energy and the optimum collision energy.