Study Of Several Higgs Processes In Electron-hadron Collisions

The Large Hadron-electron Collider(LHeC)as a future e-p collider devoting to explore the energy frontier,complementing to the Large Hadron Collider(LHC),has the potential of high precision deep inelastic scattering(DIS)measurement and physical discovery beyond the standard model(SM).The physic programme and the design in which the electron beam carries the energy of 60 to 140 GeV so that the integrated luminosity exceed the HERA’s by two orders of magnitude.Thus,the LHeC can continue to study various basic problems in strong and weak interactions,especially the unknown fields in physics and kinematics of deep inelastic scattering and confinement phenomena.For example,the DIS at high energy scales ranging from the mass of Z-gauge boson to 1TeV is an efficient way to test the electroweak theory in the space-like region by measuring the energy scale dependent electric weak mixing angle or of the weak neutral current couplings of light quarks.We mainly work on the phenomenological analysis for photo-production of Higgs boson at the LHeC and obtain the next to leading order(NLO)QCD and weak correction for the mainly process for Higgs production known as charged current weak boson fusion(WBF).The study of the NLO correction for WBF for Higgs production not only can be used to make the precision measurement for Higgs decay and its couplings with other particles but also for the precision measurement of hWW anomalous coupling where the new physics may contributes.As one category of vector boson fusion,photo-production is one important production mechanism at e-p colliders.As one category of vector boson fusion,photo-production is one important production mechanism at e-p colliders.In addition,this future e-p collider-Large Hadron-electron Collider(LHeC)has been discussed as a "Higgs factory" candidate where the Higgs boson produced via weak boson fusion(WBF)at the LHeC plays an important role in precision measurement of Yukawa couplings.On the other hand,a measurement of photo-production of the Higgs boson,if possible,might be complementary to the measurement of Higgs to di-photon partial decay width Γ(h→γγ).In this paper,we study the possibility of measuring this production process at the LHeC with the help of the photon PDFs published in recent years.This process has a clean final state without additional colored particles in the detectable region other than the decay products of the Higgs.We compute the cross sections of all related processes and find that the production rate is at the same order as the neutral current WBF production of Higgs boson with missing forward jets.However,a detailed phenomenological study of various Higgs decay channels shows that even in the most promising semi-leptonic WW channel,the feasibility of identifying such photo-production is negative due to an irreducible photo-production of W+W-.