Dilaton-Flattened Axion Inflation

TL;DR

This paper introduces a solvable axion inflation model with a Lambert-W potential that naturally flattens the hilltop potential, yielding observable predictions consistent with current constraints.

Contribution

It provides an exact one-field effective theory incorporating backreaction effects, enabling precise predictions and systematic EFT refinements for axion inflation.

Findings

Reheating-compatible branches predict r≈0.033–0.036 and α_s≈−4.6×10^{-4} to −4.7×10^{-4}.

The model satisfies current observational constraints from ACT, SPT, and BICEP.

The evolution remains adiabatic with negligible sound-speed and metric corrections.

Abstract

We present a solvable same-sector effective theory for anomaly-inspired axion inflation, in which a heavy trace-anomaly mode dynamically backreacts on the axion potential. The tree-level elimination of the radial field resums the backreaction into a closed-form Lambert-$W$ potential, naturally flattening the hilltop potential without external plateau operators. By deriving the exact trough metric, we evaluate all the observables on the fully reduced one-field action, bypassing uncontrolled kinetic approximations. Calibrated at $N_\star=56$, reheating-compatible branches yield $r\simeq0.033$--$0.036$ and $\alpha_s\simeq-(4.6$--$4.7)\times10^{-4}$, comfortably satisfying the current ACT/SPT/BICEP constraints. The evolution remains strictly adiabatic ($m_\perp^2/H^2\gtrsim6.1$, $\Omega/H\lesssim7.6\times10^{-4}$) with negligible sound-speed and metric corrections. We provide analytic control over the constant-$w_{\rm eff}$ reheating map, the $N_{\rm re}=0$ boundary, and robustness against vacuum-offset deformations. This Lambert-$W$ backbone establishes a precise, deformable benchmark for confining axion inflation, with microscopic matching and reheating microphysics accessible as systematic EFT refinements.