Anomalous Triple Gauge Boson Couplings in $e^{-}e^{+} \to \gamma \gamma$ for Non Commutative Standard Model

TL;DR

This paper explores how noncommutative geometry affects anomalous triple gauge boson couplings in electron-positron to photon-photon collisions, providing sensitivity estimates for future collider experiments.

Contribution

It introduces a detailed analysis of noncommutative standard model effects on gauge couplings, including earth rotation and polarization, with predictions for experimental bounds at ILC.

Findings

Limits on anomalous couplings of order 10^{-1} from asymmetries.

More stringent limits of order 10^{-2} from total cross section.

Sensitivity to noncommutativity effects at future colliders.

Abstract

We investigate $e^{+}e^{-}\to \gamma\gamma$ process within the Seiberg-Witten expanded noncommutative standard model(NCSM) scenario in the presence of anomalous triple gauge boson couplings. This study is done with and without initial beam polarization and we restrict ourselves to leading order effects of non commutativity i.e. $O(\Theta)$. The non commutative(NC) corrections are sensitive to 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. We have also defined forward backward asymmetries which will be exclusively sensitive to anomalous couplings. We have looked into the sensitivity of these couplings at future experiments at the International Linear Collider(ILC). This analysis is done under realistic ILC conditions with the Center of mass energy(c.m.) $\sqrt{s}=800$GeV and integrated luminosity L=500fb${}^{-1}$. The scale of non commutativity is assumed to be $\Lambda = 1$TeV. The limits on anomalous couplings of the order $10^{-1}$ from forward backward asymmetries while much stringent limits of the order $10^{-2}$ from total cross section are obtained if no signal beyond SM is seen.