Can the Higgs still account for the g−2 anomaly?

Abstract

In this paper, we use an Effective Field Theory (EFT) approach to evaluate the viability of the Higgs to account for the [Formula: see text] 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 [Formula: see text] 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 [Formula: see text] fine-tuning. Further, applying unitarity arguments, we show that such a solution would indicate a scale of New Physics (NP) of [Formula: see text]5–8[Formula: see text]TeV, which could be lowered to [Formula: see text]3.4–4 TeV if the Higgs couplings to the [Formula: see text] and [Formula: see text] 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 [Formula: see text] coupling in future experiments.