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The resonance-continuum interference is usually neglected when the width of aresonance is small compared to the resonance mass. We re-examine this standardby studying the interference effects in high-resolution decay channels,$\gamma\gamma$ and $ZZ$, of the heavy Higgs boson $H^0$ in nearly alignedtwo-Higgs-doublet models. For the $H^0$ with a sub-percent width-to-mass ratio,we find that, in the parameter space where the LHC 14 TeV $ZZ$ resonance searchcan be sensitive, the interference effects can modify the $ZZ$ signal rate by${\cal O}(10)\%$ and the exclusion reach by ${\cal O}(10)$ GeV. In otherparameter space where the $ZZ$ or $\gamma\gamma$ signal rate is smaller, theLHC 14 TeV reach is absent, but a resonance shape can be much more dramaticallychanged. In particular, the $\gamma\gamma$ signal rate can change by ${\calO}(100)\%$. Relevant to such parameter space, we suggest variables that cancharacterize a general resonance shape. We also illustrate the relevance of thewidth on the interference by adding non-standard decay modes of the heavy Higgsboson.

Interference effect on heavy Higgs resonance signal in \gamma\gamma and ZZ channels