“School of Astronomy”
Back to Papers HomeBack to Papers of School of Astronomy
| Paper IPM / Astronomy / 18078 |
|
||||||
| Abstract: | |||||||
|
Exploiting the Persistent Homology technique and its complementary representations, we examine the footprint of summed neutrino mass (MνMνâ) in the various density fields simulated by the publicly available Quijote suite. The evolution of topological features by utilizing the super-level filtration on three-dimensional density fields at zero redshift, reveals a remarkable benchmark for constraining the cosmological parameters, particularly MνMνâ and Ï8Ï8â. The abundance of independent closed surfaces (voids) compared to the connected components (clusters) and independent loops (filaments), is more sensitive to the presence of MνMνâ for R=5R=5 Mpc hâ1hâ1 irrespective of whether using the total matter density field (mm) or CDM+baryons field (cbcb). Reducing the degeneracy between MνMνâ and Ï8Ï8â is achieved via Persistent Homology for the mm field but not for the cbcb field. The uncertainty of MνMνâ at 1Ï1Ï confidence interval from the joint analysis of Persistent Homology vectorization for the mm and cbcb fields smoothed by R=5R=5 Mpc hâ1hâ1 at z=0z=0 reaches 0.01520.0152 eV and 0.12420.1242 eV, respectively. Noticing the use of the 3-dimensional underlying density field at z=0z=0, the mentioned uncertainties can be treated as the theoretical lower limits.
Download TeX format |
|||||||
| back to top | |||||||
