Abstract
The determination of the Higgs self coupling is one of the key ingredients for understanding the mechanism behind the electroweak symmetry breaking. An indirect method for constraining the Higgs trilinear self coupling via single Higgs production at next-to-leading order (NLO) has been proposed in order to avoid the drawbacks of studies with double Higgs production. In this paper we study the Higgs self interaction through the vector boson fusion (VBF) process $e^{-} p \to \nu_{e} h j$ at the future LHeC. At NLO level, we compute analytically the scattering amplitudes for relevant processes, in particular those induced by the Higgs self interaction. A Monte Carlo simulation and a statistical analysis utilizing the analytic results are then carried out for Higgs production through VBF and decay to $b\bar{b}$, which yield for the trilinear Higgs self-coupling rescaling parameter $\kappa_{\lambda}$ the limit [-0.57, 2.98] with $2~\text{ab}^{-1}$ integrated luminosity. If we assume about 10% of the signal survives the event selection cuts, and include all the background, the constraint will be broadened to [-2.11, 4.63].
Highlights
A standard model (SM)-like Higgs boson has been discovered by the ATLAS and CMS collaborations at the CERN Large Hadron Collider (LHC) individually [1,2], which makes a milestone in particle physics
From the second run of the LHC at 13 TeV, the ATLAS collaboration has recently reported the results of their measurements μH→ττ 1⁄4 1.09þ−00..3306 and μH→bb 1⁄4 1.01þ−00..1290, with the integrated luminosities 36.1 fb−1 and 79.8 fb−1, respectively [7,8]
We parametrize the deviation of possible new physics from SM by a single parameter κλ: λS3Mh3 → λ3h3 1⁄4 κλλS3Mh3; ð2Þ
Summary
A standard model (SM)-like Higgs boson has been discovered by the ATLAS and CMS collaborations at the CERN Large Hadron Collider (LHC) individually [1,2], which makes a milestone in particle physics While it strongly supports the SM mechanism of spontaneous electroweak symmetry breaking (EWSB), by which all fermions and some of the vector bosons acquire their masses, the driving force of EWSB still remains mysterious. From the second run of the LHC at 13 TeV, the ATLAS collaboration has recently reported the results of their measurements μH→ττ 1⁄4 1.09þ−00..3306 and μH→bb 1⁄4 1.01þ−00..1290, with the integrated luminosities 36.1 fb−1 and 79.8 fb−1, respectively [7,8] These are significant improvements in Higgs precision physics.
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