The LHC Drell-Yan Measurements as a Constraint for the Noncommutative Space-Time

TL;DR

This paper uses LHC Drell-Yan data to set constraints on noncommutative space-time models, employing a statistical analysis to exclude certain parameter regions and pushing the scale limit above 655 GeV.

Contribution

It provides the first detailed statistical comparison of noncommutative space-time predictions with LHC measurements, constraining the model parameters.

Findings

The noncommutative scale 1 > 655 GeV under certain parameters.

A 2 2 2 method effectively constrains NCST models.

First statistical analysis of NCST with collider data.

Abstract

The LHC measurements of the differential cross section of the Drell-Yan process is used to constrain the noncommutative space-time (NCST) phase space. A $\chi^2$ method is utilized to exclude the part of the parameters space which is not consistent with the LHC measurements. Depending on other NCST parameters, the scale can be pushed up to $\Lambda_{NC} > 655$ GeV. The effect of other parameters is also investigated. To our knowledge, it is the first time that a detailed statistical analysis is performed to compare the NCST results with the Hadron Collider measurements.