# inflationary perturbations

01 May 2013guest post by Shaun Hotchkiss (from the blog trenches of discovery): If, through the CMB and large scale structure, we can study the primordial density perturbation over a range of scales corresponding to five orders of magnitude (i.e. \(k_\mathrm{max} = 10^5 k_\mathrm{min}\)), what fraction \(\Delta \phi/\phi\) of the inflationary potential does this probe (if inflation is true and the inflationary potential is \(V(\phi)=m^2\phi^2\))?

bonus question: Where’s the first minimum of \(x^{\sinh(x)}\), \(x>0\)?