SLIDE 15 CONCLUSIONS & PERSPECTIVES
Axion-like particle is a compelling candidate to replace CDM: at large scales it behave just as CDM, and at smaller scales it solve the existing discrepancies between astrophysical observations and simulations based
The results were obtained based on: 1) transform the Klein-Gordon equation into a dynamical system, and 2) use an amended version of CLASS code to evolve the linear perturbations. We fully computed the MPS for the axion potential and showed that its features do change significantly in the case when an Axion-like potential is considered, for which linear perturbations in a certain range of wavenumbers suffer a tachyonic instability. This causes the appearance of a bump in the MPS which is close to the cut-off scale, which in turn is also displaced towards smaller scales in comparison to the free case. It will be interesting to know whether future surveys as DESI and LSST, in case a bump and a cut-off in the MPS, or the 1D-MPS are detected, will be able to spot the differences between the free case and the full axion one and in turn put constraints on the decay parameter. Some statistical analysis will be made to constraint the parameters of our model (MCMC, Bayesian Inference).