Analysis of the process e+e- → h0a0 in ihdm in the presence of a linearly polarized laser field

Abstract

We consider the process of neutral Higgs production from e+e- annihilation in Inert Higgs Doublet Model (IHDM) in the absence and presence of an external eld. The latter is assumed to be a plane and monochro-matic wave with linear polarization. In the theoretical framework, we present the analytic calculation of the lowest order di erential cross section by using the scattering matrix approach and Dirac-Volkov formalism for charged incident particles. The total cross section is computed by performing a numerical integration of the di erential cross section over the solid angle. The results obtained are analyzed and discussed for di erent centre of mass energies and laser parameters. We found that inserting a laser wave with linear polarization is a suitable mechanism to enhance the total cross-section of the process. Indeed, the probability of the process to occur increases with the presence of a linearly polarized laser eld, especially with low frequency and high strength.