Abstract
We discuss the possibility of producing a light dark photon dark matter through a coupling between the dark photon field and the inflaton. The dark photon with a large wavelength is efficiently produced due to the inflaton motion during inflation and becomes non-relativistic before the time of matter-radiation equality. We compute the amount of production analytically. The correct relic abundance is realized with a dark photon mass extending down to 10−21 eV.
Highlights
The correct relic abundance is realized with a dark photon mass extending down to 10−21 eV
The dark photon DM is generated via tachyonic instability during inflation. Since this coupling is proportional to the wavenumber, the dark photon field with a large wavelength is not efficiently produced and the correct DM abundance could be achieved with a dark photon mass mγ >∼ μeV, which is not our target
We consider a coupling of the dark photon field to the inflaton I2(φ)F F where I is some function of φ
Summary
We here present our setup of a dark photon with non-zero mass that is coupled to the inflaton and our assumption of an inflationary background. We see that the dark photon field is decomposed into transverse and longitudinal modes around the isotropic background. The equation of motion for each mode is derived
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