$hhjj$ production at the LHC
Matthew J. Dolan, Christoph Englert, Nicolas Greiner, Karl Nordstrom,, Michael Spannowsky

TL;DR
This paper explores di-Higgs production with two jets at the LHC, analyzing both gluon- and weak boson fusion processes to improve sensitivity to Higgs couplings and new physics in high-luminosity conditions.
Contribution
It provides a detailed phenomenological study of $hhjj$ production, including strategies to distinguish production modes and assess sensitivity to Higgs and gauge boson couplings.
Findings
$hhjj$ production enhances di-Higgs search sensitivity at HL-LHC.
Distinct strategies can disentangle gluon fusion and weak boson fusion contributions.
Constraints on quartic Higgs-gauge boson couplings can be improved.
Abstract
The search for di-Higgs production at the LHC in order to set limits on Higgs trilinear coupling and constraints on new physics is one of the main motivations for the LHC high luminosity phase. Recent experimental analyses suggest that such analyses will only be successful if information from a range of channels is included. We therefore investigate di-Higgs production in association with two hadronic jets and give a detailed discussion of both the gluon- and weak boson fusion contributions, with a particular emphasis on the phenomenology with modified Higgs trilinear and quartic gauge couplings. We perform a detailed investigation of the full hadronic final state and find that production should add sensitivity to a di-Higgs search combination at the HL-LHC with 3 ab. Since the WBF and GF contributions are sensitive to different sources of physics beyond the Standard…
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