Employing an effective field theory approach to inflationary perturbations, we analyze in detail the effect of curvature-generated Lagrangian operators on various observables, focusing on their running with scales. At quadratic order, we solve the equation of motion at next-to-leading leading order in a generalized slow-roll approximation for a very general theory of single-field inflation. We derive the resulting power spectrum, its tilt and running. We then focus on the contribution to the primordial non-Gaussianity amplitude fNL sourced by a specific interaction term. We show that the running of f_NL can be substantially larger than what dictated by the slow-roll parameters.

Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation

BARTOLO, NICOLA;MATARRESE, SABINO;A. RIOTTO
2010

Abstract

Employing an effective field theory approach to inflationary perturbations, we analyze in detail the effect of curvature-generated Lagrangian operators on various observables, focusing on their running with scales. At quadratic order, we solve the equation of motion at next-to-leading leading order in a generalized slow-roll approximation for a very general theory of single-field inflation. We derive the resulting power spectrum, its tilt and running. We then focus on the contribution to the primordial non-Gaussianity amplitude fNL sourced by a specific interaction term. We show that the running of f_NL can be substantially larger than what dictated by the slow-roll parameters.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11577/2453315
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