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We analyze $h\to 4\ell$ decays in the kinematical region where the dileptonpair of low invariant mass ($m_{34}$) is not far from QCD resonances ($\Psi$and $\Upsilon$ states). On the one hand, we present precise predictions of thespectrum within the Standard Model, taking into account non-perturbative QCDeffects. On the other hand, we illustrate the sensitivity of this spectrum toNew Physics models predicting the existence of new exotic light states. Inparticular, we show that parameter regions of models relevant to explain the$(g-2)_\mu$ anomaly could be probed in the future by means of $h\to 4\ell$decays.

The $h \to 4 \ell$ spectrum at low $m_{34}$: Standard Model vs. light New Physics