Particle phenomenology on noncommutative spacetime

We introduce particle phenomenology on the noncommutative spacetime called the Groenewold-Moyal plane. The length scale of spacetime noncommutativity is constrained from the CPT violation measurements in the K⁰-K̅ ⁰ system and g-2 difference of μ⁺-μ^-. The K⁰-K̅ ⁰ system provides an upper bound on the length scale of spacetime noncommutativity of the order of 10^-32  m, corresponding to a lower energy bound E of the order of E≳10¹⁶  GeV. The g-2 difference of μ⁺-μ^- constrains the noncommutativity length scale to be of the order of 10^-20  m, corresponding to a lower energy bound E of the order of E≳10³  GeV. We also present the phenomenology of the electromagnetic interaction of electrons and nucleons at the tree level on the noncommutative spacetime. We show that the distributions of charge and magnetization of nucleons are affected by spacetime noncommutativity. The analytic properties of electromagnetic form factors are also changed and it may give rise to interesting experimental signals.