Analysis of the laser geometry effect on the Higgs-strahlung process

In this paper, we have investigated the process of Higgs-strahlung production e⁺e^- → ZH, at the leading order inside an intense electromagnetic wave propagating in different directions. The differential cross section is analytically calculated in the centre of mass frame by using the scattering matrix approach. Then, the integrated cross section is computed for three different directions of the wave four-vector. We have found that in the case where the wave four-vector is along the e⁺e^- direction, the laser field significantly affects the total cross section, and this effect begins from low intensities as compared to the case where the wave four-vector is perpendicular to the incoming e⁺e^- beam. (author)