Electric dipole moment induced by CP-violating deformations in the noncommutative Standard Model

Abstract

The possibility to detect the noncommutative (NC) spacetime in the electric dipole moments (EDM) experiments is studied in the effective field theory of noncommutative Standard Model (NCSM) with many additional deformations. The EDM given by the previous literatures do not have any observable effect since they are spin-independent. In this work, it is found that three of the deformed terms provide extra sources of CP violation contributed to EDM. We show that these EDMs are sensitive to the spin and thus have potential to be measured in the highly precise experiments. In particular, the EDM induced by NC spacetime may not be parallel to the direction of spin, which demonstrates the intrinsic feature of NC field theory.

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

“…With the assumption that the noncommutative parameter reverses its sign, that is → − , under transformation, then the noncommutative quantum electrodynamics (NCQED) preserves symmetry. Even through the above transformation property has an intuitive explanation [31,41,42], it is more interesting to investigate the phenomenology of the violating NCQED in consideration of the fact that in this case even neutral particles can couple to photons [43,44]. No matter which representation is chosen, the SW map [3] can be employed to keep the original gauge symmetry [43,44].…”

“…Even through the above transformation property has an intuitive explanation [31,41,42], it is more interesting to investigate the phenomenology of the violating NCQED in consideration of the fact that in this case even neutral particles can couple to photons [43,44]. No matter which representation is chosen, the SW map [3] can be employed to keep the original gauge symmetry [43,44]. It has also been shown that the coordinate and momentum noncommutatives can appear simultaneously in a consistent way in which the ordinary electromagnetic gauge symmetry can be preserved [25,26], and the Lagrangian density for charged particle interacting with external electromagnetic fields has been obtained as follows:…”

“…No matter which representation is chosen, the SW map [3] can be employed to keep the original gauge symmetry [43,44]. It has also been shown that the coordinate and momentum noncommutativies can appear simultaneouslly in a consistent way in which the ordinary electromagnetic gauge symmetry can be preserved [25,26], and the Lagrangian density for charged particle interacting with external electromagnetic fields has been obtained as follows,…”