Abstract
Although many astrophysical and cosmological observations point towards the existence of Dark Matter (DM), the nature of the DM particle has not been clarified to date. In this paper, we investigate a minimal model with a vector DM (VDM) candidate. Within this model, we compute the cross section for the scattering of the VDM particle with a nucleon. We provide the next-to-leading order (NLO) cross section for the direct detection of the DM particle. Subsequently, we study the phenomenological implications of the NLO corrections, in particular with respect to the sensitivity of the direct detection DM experi- ments. We further investigate more theoretical questions such as the gauge dependence of the results and the remaining theoretical uncertainties due to the applied approximations.
Highlights
Refer in most cases to particles belonging to some extension of the Standard Model (SM), and all experimental data from the different sources favour a weakly interacting massive particle (WIMP) with a velocity of the order of 200 km/s
In the following we present the leading order (LO) and next-to-leading order (NLO) results for the spin-independent direct detection cross section of the vector DM (VDM) model
We investigate the size of the NLO corrections and their phenomenological impact
Summary
The VDM model discussed in this work is an extension of the SM, where a complex SMgauge singlet S is added to the SM field content [14,15,16,17,18,19,20,21]. The dark gauge boson χμ and the scalar field S transform under the Z2 symmetry as follows χμ → −χμ and S → S∗ ,. The neutral component of the Higgs doublet H and the real part of the singlet field each acquire a vacuum expectation value (VEV) v and vS, respectively. The expansions around their VEVs can be written as. The CP-odd field components σH and σS do not acquire VEVs and are identified with the neutral SM-like Goldstone boson G0 and the Goldstone boson Gχ for the gauge boson χμ, respectively, while G± are the Goldstone bosons of the W bosons. The requirement of the potential to be bounded from below is translated into the following conditions λH > 0, λS > 0, κ > −2 λH λS
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