Contributions to the muon g − 2 from a three-form field

Abstract

We examine contributions to the muon dipole moment g − 2 from a 3-form field Ω, which naturally arises from many fundamental theories, such as the string theory and the hyperunified field theory. In particular, by calculating the one-loop Feynman diagram, we have obtained the leading-order Ω-induced contribution to the muon g − 2, which is found to be finite. Then we investigate the theoretical constraints from perturbativity and unitarity. Especially, the unitarity bounds are yielded by computing the tree-level μ+μ− scattering amplitudes of various initial and final helicity configurations. As a result, despite the strong unitarity bounds imposed on this model of Ω, we have still found a substantial parameter space which can accommodates the muon g − 2 data.