On the Phenomenology of Strongly Coupled Hidden Sectors

TL;DR

This paper investigates how the phenomenology of strongly coupled hidden sectors in supersymmetry models depends on specific sector details, challenging previous assumptions of universal boundary conditions at the SUSY breaking scale.

Contribution

It demonstrates that boundary conditions are sensitive to hidden sector details and provides a method to determine high-scale boundary conditions using operator product expansion.

Findings

Boundary conditions vary with hidden sector specifics

Operator product expansion helps determine RG flow

Multiple fixed points influence boundary conditions

Abstract

In models of supersymmetry (SUSY) breaking and mediation, strongly coupled SUSY-breaking sectors can play a significant role in determining the low-energy spectrum of the model. For example, strong dynamics may provide a natural solution to both the SUSY flavor problem and the mu / B mu problem. Recently, it has been suggested that a large class of these models lead to identical boundary conditions at the SUSY breaking scale. These boundary conditions would severely constrain the models' viability. We demonstrate that the boundary conditions are instead sensitive to the details of the hidden sector, so that only specific hidden sectors may be ruled out by phenomenological considerations. We determine the high scale boundary conditions using the operator product expansion of the hidden sector. The techniques used to determine the beta functions are generally applicable to the RG flow of any approximately conformal hidden sector. The discrepancy with previously proposed boundary conditions can be traced to the fact that the renormalization group (RG) flow involves multiple fixed points.