RG-Induced Modulus Stabilization: Perturbative de Sitter Vacua and Improved $\hbox{D3}$-$\overline{\hbox{D3}}$ Inflation

Understand

We propose a new mechanism that adapts to string theory a perturbative method for stabilizing moduli without leaving the domain of perturbative control, thereby evading the `Dine-Seiberg' problem.

• The only required nonperturbative information comes from the standard renormalization-group resummation of leading logarithms that allow us simultaneously to work to a fixed order in the perturbative parameter $\alpha$ and to all orders in $\alpha \ln\tau$ where $\tau$ is a large extra-dimensional modulus.
• The resulting potential is naturally minimized for moduli of order $\tau\sim e^{1/\alpha}$ and so can be exponentially large given ${\cal O}(10)$ input parameters.
• The mechanism relies on accidental low-energy scaling symmetries known to be generic and so is robust against UV details.