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Theoretical arguments and lattice simulations suggest that, beside the knownresonance of mass $m_h=$ 125 GeV, the Higgs field might exhibit a secondresonance with a larger mass $(M_H)^{\rm theor} = 690 \pm 10 ~({\rm stat}) \pm20 ~({\rm sys})~ {\rm GeV}$ which, however, would couple to longitudinal W'swith the same typical strength as the low-mass state at 125 GeV and thusrepresent a relatively narrow resonance mainly produced at LHC by gluon-gluonfusion. By looking for some evidence in the LHC data, we argue that theexistence of a new resonance in the predicted mass region finds support in twoanalyses by ATLAS (searching for heavy resonances decaying into final stateswith 4 charged leptons or $\gamma\gamma$ pairs) and in more recent CMS results(searching for heavy resonances decaying into a pair of $h(125)$ bosons orlooking for $\gamma\gamma$ pairs produced in $pp$ double-diffractivescattering). Since the correlation of these measurements is very small andsince, having some definite theoretical prediction, local deviations from thepure background are not downgraded by the look-elsewhere effect, we emphasizethe instability of the present situation that could probably be resolved byjust adding two crucial, missing samples of RUN2 data.

Second resonance of the Higgs field: more signals from the LHC experiments