Higgs production in e⁻e⁺ collisions as a probe of noncommutativity

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.