Intermediate mass standard model Higgs boson at the proposed CERN LEP$\otimes$LHC $ep$ collider

The production of the \sm\ Higgs $\varphi$ with intermediate mass at the proposed CERN LEP$\otimes$LHC $ep$ collider in $\gamma q(\bar q)\rightarrow W^\pm\phi q’(\bar q’)$,$\gamma q(\bar q)\rightarrow Z^0\phi q(\bar q)$and$g\gamma\rightarrow q\bar q\phi$ events is studied. This is done for all possible (massive) flavours of the quarks $q(q^{\mathrm{\prime }})$ and using photons generated via Compton back–scattering of laser light. We study signatures in which the Higgs decays to $b\bar{b}$–pairs and the electroweak vector bosons $W^{\pm }$ and $Z^0$ decay either hadronically or leptonically. All possible backgrounds to these signals are also computed. Flavour identification on $b$–jets is assumed. Explicit formulae for the helicity amplitudes of the above processes are given.