$\pi^+\pi^+$ and $\pi^+\pi^-$ colliding in noncommutative space

TL;DR

This paper investigates how noncommutative space modifies pion scattering cross-sections, revealing significant differences from traditional models, especially at specific angles, and suggests potential experimental exploration at TeV energy scales.

Contribution

It introduces the noncommutative correction to scalar pion scattering cross-sections within scalar quantum electrodynamics, highlighting angular dependence and potential experimental implications.

Findings

Noncommutative effects significantly alter scattering cross-sections at certain angles.

The correction depends on the polar angle and becomes prominent near b1 1 in cosine theta.

Potential to explore space noncommutativity at TeV energy scales.

Abstract

By studying the scattering process of scalar particle pion on the noncommutative scalar quantum electrodynamics, the non-commutative amendment of differential scattering cross-section is found, which is dependent of polar-angle and the results are significantly different from that in the commutative scalar quantum electrodynamics, particularly when $\cos\theta\sim \pm 1$. The non-commutativity of space is expected to be explored at around $\Lambda_{NC}\sim$TeV.