The Generalized Dilaton Supersymmetry Breaking Scenario

TL;DR

This paper challenges the traditional dilaton dominance scenario in supersymmetry breaking, proposing a more general framework with arbitrary K"ahler potentials that can naturally stabilize the dilaton at realistic values.

Contribution

It introduces a generalized scenario for dilaton supersymmetry breaking allowing arbitrary K"ahler potentials, enabling dilaton stabilization without fine-tuning.

Findings

Traditional dilaton dominance cannot yield a zero or stable potential minimum.

Generalized K"ahler potentials can stabilize the dilaton at realistic values.

A single condensate suffices for stabilization without fine-tuning.

Abstract

We show that the usual dilaton dominance scenario, derived from the tree level K\"ahler potential, can never correspond to a global minimum of the potential at $V=0$. Similarly, it cannot correspond to a local minimum either, unless a really big conspiracy of different contributions to the superpotential $W(S)$ takes place. These results, plus the fact that the K\"ahler potential is likely to receive sizeable string non-perturbative contributions, strongly suggest to consider a more general scenario, leaving the K\"ahler potential arbitrary. In this way we obtain generalized expressions for the soft breaking terms but a predictive scenario still arises. Finally, we explore the phenomenological capability of some theoretically motivated forms for non-perturbative K\"ahler potentials, showing that it is easy to stabilize the dilaton at the realistic value $S\sim 2$ with just one condensate and no fine-tuning.