Precision of inflaton potential reconstruction from CMB using the general slow-roll approximation

May, 2005
9 pages
Published in:
  • Phys.Rev.D 72 (2005) 023510
e-Print:
Report number:
  • FERMILAB-PUB-05-059-A

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Abstract: (arXiv)
Through a principal component analysis, we study how accurately CMB observables can constrain inflaton potentials in a model independent manner. We apply the general slow-roll approximation in our analysis where we allow, in contrast to the standard slow-roll approximation, the possibility of variations in V(ϕ)V''(\phi) and take into account the fact that horizon crossing is not an instantaneous event. Our analysis provides a set of modes to be used in fitting observables. We find that of order five of these modes will be constrained by future observations, so a fully general data analysis package could use the amplitudes of just a handful of modes as free parameters and retain all relevant information in the data.
  • 98.80.Cq
  • inflation
  • cosmic background radiation
  • inflaton: potential
  • parametrization
  • slow-roll approximation
  • numerical calculations