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We compute the interference between the resonant process $pp\to H(\rightarrow\gamma\gamma)+2 \text{ jets}$ and the corresponding continuum background atleading order in QCD. For the Higgs signal, we include gluon fusion (GF) andvector boson fusion (VBF) production channels, while for the background weconsider all tree-level contributions, including pure EW effects (${\calO}(\alpha_{QED}^4)$) and QCD contributions (${\cal O}(\alpha_{QED}^2\alpha_{s}^2)$), plus the loop-induced gluon-initiated process. Afterconvolution with the experimental mass resolution, the main effect of theinterference is to shift the position of the mass peak, as in the inclusive GFcase studied previously. The apparent mass shift is small in magnitude butstrongly dependent on the Higgs width, potentially allowing for a measurementof, or bound on, the width itself. In the $H(\rightarrow \gamma\gamma)+2 \text{jets}$ channel, the VBF and GF contributions generate shifts of opposite signswhich largely cancel, depending on the sets of cuts used, to as little as 5 MeV(toward a lower Higgs mass). The small magnitude of the shift makes thischannel a good reference mass for measuring the inclusive mass shift of around60 MeV in the Standard Model.

Interference effects in the $H(\rightarrow \gamma\gamma) + 2$ jets channel at the LHC