Non-canonical two-field inflation to order ${\xi }^2$

Abstract

In non-canonical two-field inflation models, deviations from the canonical model can be captured by a parameter $\xi$. We show this parameter is usually one half of the slow-roll order and analytically calculate the primordial power spectra accurate to order ${\xi }^2$. The super-horizon perturbations are studied with an improved method, which gives a correction of order ${\xi }^2$. Three typical examples demonstrate that our analytical formulae of power spectra fit well with numerical simulation.

arXiv comment24 pages, 6 figures, Appendix E added

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