TeV Scale Implications of Non Commutative Space time in Laboratory Frame with Polarized Beams

TL;DR

This paper investigates how noncommutative space-time affects specific electron-positron and photon processes at colliders, revealing polarization-dependent effects and Earth's rotation influences, which could be tested at the ILC.

Contribution

It introduces polarization as a means to detect first-order noncommutative effects and considers Earth's rotation, providing novel signatures for noncommutative space-time at colliders.

Findings

Polarized beams reveal first-order noncommutative effects.

Earth rotation impacts the observable signatures.

Distinct signatures for electric and magnetic components of noncommutativity.

Abstract

We analyze $e^{+}e^{-}\rightarrow \gamma\gamma$, $e^{-}\gamma \rightarrow e^{-}\gamma$ and $\gamma\gamma \rightarrow e^{+}e^{-} $ processes within the Seiberg-Witten expanded noncommutative scenario using polarized beams. With unpolarized beams the leading order effects of non commutativity starts from second order in non commutative(NC) parameter i.e. $O(\Theta^2)$, while with polarized beams these corrections appear at first order ($O(\Theta)$) in cross section. The corrections in Compton case can probe the magnetic component($\vec{\Theta}_B$) while in Pair production and Pair annihilation probe the electric component($\vec{\Theta}_E$) of NC parameter. We include the effects of earth rotation in our analysis. This study is done by investigating the effects of non commutativity on different time averaged cross section observables. The results which also depends on the position of the collider, can provide clear and distinct signatures of the model testable at the International Linear Collider(ILC).