Abstract
We perform a search for beyond the standard model dimension-six operators relevant to the Higgs boson at the Large Hadron Electron Collider (LHeC) and the Future Circular Hadron Electron Collider (FCC-he). With a large amount of data (few ab$^{-1}$) and collisions at TeV scale, both LHeC and FCC-he provide excellent opportunities to search for the BSM effects. The study is done through the process $e^-p \to h j \nu_e$ where the Higgs boson decays into a pair of $b \bar{b}$ and we consider the main sources of background processes including a realistic simulation of detector effects. For the FCC-he case, in some signal scenarios to obtain an efficient event reconstruction and to have a good background rejection, jet substructure techniques are employed to reconstruct the boosted Higgs boson in the final state. In order to assess the sensitivity to the dimension-six operators, a shape analysis on the differential cross sections is performed. Stringent bounds are found on the Wilson coefficients of dimension-six operators with the integrated luminosities of 1 ab$^{-1}$ and 10 ab$^{-1}$ which in some cases show improvements with respect to the high-luminosity LHC results.
Highlights
The Standard Model (SM) of particle physics has been found to be a successful theory describing nature up to the electroweak scale
The results are presented for the electronproton collisions at the Large Hadron Electron Collider (LHeC) when the 60 GeV and 140 GeV electrons collide with the 7 TeV protons, and at the Future Circular Hadron Electron Collider (FCC-he) when the 60 GeV electrons collide with the 50 TeV protons
LHeC and future circular collider (FCC)-he sensitivities shows that more sensitivity to most of the Wilson coefficients can be obtained in the FCC-he
Summary
The Standard Model (SM) of particle physics has been found to be a successful theory describing nature up to the electroweak scale. One of the main goals would be to precisely measure the Higgs boson properties that would provide the possibility of searching for new physics effects beyond the SM. Given the absence of any signature of new physics in the present data, one can parametrize the effects of beyond-theSM in an effective field theory (EFT) expansion. This approach is a powerful tool that parametrizes possible new physics effects via a systematic expansion in a series of higher-dimensional operators composed of SM fields [3,4]
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