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arXiv · 2208.07108

Contributions to the Muon $g-2$ from a Three-Form Field

Da Huang·Yong Tang·Yue-Liang Wu
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Abstract

We examine contributions to the muon dipole moment $g-2$ from a 3-form field $\Omega$, 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 $\Omega$-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 $\mu^+\mu^-$ scattering amplitudes of various initial and final helicity configurations. As a result, despite the strong unitarity bounds imposed on this model of $\Omega$, we have still found a substantial parameter space which can accommodates the muon $g-2$ data.

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Da Huang, Yong Tang, Yue-Liang Wu. 2022-08-15. Contributions to the Muon $g-2$ from a Three-Form Field. https://doi.org/10.1007/jhep01(2023)117

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