Higgs production in $e^{-}e^{+}$ collisions as a probe of noncommutativity

TL;DR

This paper investigates how the angular distribution of the Higgs boson in $e^+e^- o ZH$ collisions can reveal noncommutative effects, setting lower bounds on the noncommutative scale using collider data.

Contribution

It introduces a method to constrain the noncommutative scale by analyzing Higgs angular distributions in $e^+e^-$ collisions within the minimal noncommutative standard model.

Findings

At 1.5 TeV, the noncommutative scale $\\Lambda$ can be excluded up to 1.2 TeV.

Higgs emission becomes anisotropic in the transverse plane due to noncommutativity.

The profile likelihood ratio effectively sets bounds on $\\Lambda$ based on collider data.

Abstract

We examine the sensitivity of the angular distribution of the Higgs boson in the process of $e^+e^-\to Z H$ and the total cross section in the minimal noncommutative standard model (mNCSM) framework to set lower limit on the noncommutative charactristic scale ($\Lambda$). Contrary to the standard model case, in this process the Higgs boson tends to be emitted anisotropically in the transverse plane. Based on this fact, the profile likelihood ratio is used to set lower limit on $\Lambda$. The lower limit is presented as a function of the integrated luminosity. We show that at the center-of-mass energy of 1.5 TeV and with 500 fb$^{-1}$ of data, the noncommutative characteristic energy scale $\Lambda$ can be excluded up to 1.2 TeV.