M\"{o}ller and Bhabha scattering in the noncommutative standard model

TL;DR

This paper investigates how noncommutative geometry modifies M"{o}ller and Bhabha scattering in the standard model, revealing significant deviations in angular distributions at TeV energy scales.

Contribution

It introduces a first-order noncommutative extension of the standard model and analyzes its impact on scattering processes using Seiberg-Witten maps.

Findings

Angular distribution deviations at TeV scale

Potential observable effects of space-time noncommutativity

Significant differences from the commutative standard model

Abstract

We study the M\"{o}ller and Bhabha scattering in the noncommutative extension of the standard model(SM) using the Seiberg-Witten maps of this to first order of the noncommutative parameter $\theta_{\mu \nu}$. We look at the angular distribution $d\sigma/d\Omega$ to explore the noncommutativity of space-time at around $\Lambda_{NC} \sim$ TeV and find that the distribution deviates significantly from the one obtained from the commutative version of the standard model.