Abstract
In this paper, we use an Effective Field Theory (EFT) approach to evaluate the viability of the Higgs to account for the anomaly. Although the SM contribution of the Higgs to the muon’s magnetic dipole moment is negligible, using a bottom-up EFT, we show that given the current level of experimental limits on the Higgs sector, the Higgs can still yield a viable solution to the anomaly if its couplings to the rest of the SM particles are allowed to deviate from their SM predictions. Such a solution would only require an fine-tuning. Further, applying unitarity arguments, we show that such a solution would indicate a scale of New Physics (NP) of 5–8TeV, which could be lowered to 3.4–4 TeV if the Higgs couplings to the and are assumed to conform to their SM predictions. We show that such a scenario could yield significant enhancement to the di-Higgs production in muon colliders, thus providing further motivation for its consideration. A key takeaway of this study is to highlight the importance of measuring the coupling in future experiments.
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