The Detectability of Departures from the Inflationary Consistency Equation

Abstract

We study the detectability, given CMB polarization maps, of departures from the inflationary consistency equation, r \equiv T/S \simeq -5 n_T, where T and S are the tensor and scalar contributions to the quadrupole variance, respectively. The consistency equation holds if inflation is driven by a slowly-rolling scalar field. Departures can be caused by: 1) higher-order terms in the expansion in slow-roll parameters, 2) quantum loop corrections or 3) multiple fields. Higher-order corrections in the first two slow-roll parameters are undetectably small. Loop corrections are detectable if they are nearly maximal and r \ga 0.1. Large departures (|\Delta n_T| \ga 0.1) can be seen if r \ga 0.001. High angular resolution can be important for detecting non-zero r+5n_T, even when not important for detecting non-zero r.