Effects of the Noncommutative Standard Model on WW scattering

TL;DR

This paper investigates how the Noncommutative Standard Model affects WW scattering processes, revealing that e+e- collisions are more sensitive probes for noncommutative effects than WW production at the LHC, with implications for current and future colliders.

Contribution

It provides the first detailed analysis of WW scattering within the Noncommutative Standard Model, highlighting the sensitivity of e+e- processes to noncommutative scales and the potential for collider experiments to detect such effects.

Findings

e+e- to WW is more sensitive than WW at the LHC

LEP-II excludes noncommutative scales below 300-400 GeV

ILC can probe noncommutative scales up to 10-20 TeV

Abstract

We examine W pair production in the Noncommutative Standard Model constructed with the Seiberg-Witten map. Consideration of partial wave unitarity in the reactions WW to WW and e+e- to WW shows that the latter process is more sensitive and that tree-level unitarity is violated when scattering energies are of order a TeV and the noncommutative scale is below about a TeV. We find that WW production at the LHC is not sensitive to scales above the unitarity bounds. WW production in e+e- annihilation, however, provides a good probe of such effects with noncommutative scales below 300-400 GeV being excluded at LEP-II, and the ILC being sensitive to scales up to 10-20 TeV. In addition, we find that the ability to measure the helicity states of the final state W bosons at the ILC provides a diagnostic tool to determine and disentangle the different possible noncommutative contributions.