# Particle phenomenology on noncommutative spacetime - High Energy Physics - Phenomenology

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Abstract: We introduce particle phenomenology on the noncommutative spacetime calledthe Groenewold-Moyal plane. The length scale of spcetime noncommutativity isconstrained from the CPT violation measurements in $K^{0}-\bar{K}^{0}$ systemand $g-2$ difference of $\mu^+ - \mu^-$. The $K^{0}-\bar{K}^{0}$ systemprovides an upper bound on the length scale of spacetime noncommutativity ofthe order of $10^{-32} \textrm{m}$, corresponding to a lower energy bound $E$of the order of $E \gtrsim 10^{16}\textrm{GeV}$. The $g-2$ difference of $\mu^+- \mu^-$ constrains the noncommutativity length scale to be of the order of$10^{-20} \textrm{m}$, corresponding to a lower energy bound $E$ of the orderof $E \gtrsim 10^{3}\textrm{GeV}$.We also present the phenomenology of the electromagnetic interaction ofelectrons and nucleons at the tree level in the noncommutative spacetime. Weshow that the distributions of charge and magnetization of nucleons areaffected by spacetime noncommutativity. The analytic properties ofelectromagnetic form factors are also changed and it may give rise tointeresting experimental signals.

Author: ** Anosh Joseph**

Source: https://arxiv.org/