# Naturalness versus stringy naturalness (with implications for collider and dark matter searches)

## TL;DR

The paper explores the concept of stringy naturalness in the context of the Standard Model and SUSY models, suggesting that string theory favors certain vacua with heavy sparticles and implications for collider and dark matter searches.

## Contribution

It introduces the idea of stringy naturalness, contrasting it with traditional naturalness, and analyzes its implications for SUSY models and experimental searches.

## Key findings

- Stringy naturalness favors heavy sparticles with weak-scale Higgs bosons.
- Models with TeV-scale soft terms are statistically more common in the string landscape.
- Expectations for collider and dark matter signals are altered under stringy naturalness.

## Abstract

The notion of stringy naturalness-- that an observable O_2 is more natural than O_1 if more (phenomenologically acceptable) vacua solutions lead to O_2 rather than O_1-- is examined within the context of the Standard Model (SM) and various SUSY extensions: CMSSM/mSUGRA, high-scale SUSY and radiatively-driven natural SUSY (RNS). Rather general arguments from string theory suggest a (possibly mild) statistical draw towards vacua with large soft SUSY breaking terms. These vacua must be tempered by an anthropic veto of non-standard vacua or vacua with too large a value of the weak scale m(weak). We argue that the SM, the CMSSM and the various high-scale SUSY models are all expected to be relatively rare occurances within the string theory landscape of vacua. In contrast, models with TeV-scale soft terms but with m(weak)~100 GeV and consequent light higgsinos (SUSY with radiatively-driven naturalness) should be much more common on the landscape. These latter models have a statistical preference for m_h~ 125 GeV and strongly interacting sparticles beyond current LHC reach. Thus, while conventional naturalness favors sparticles close to the weak scale, stringy naturalness favors sparticles so heavy that electroweak symmetry is barely broken and one is living dangerously close to vacua with charge-or-color breaking minima, no electroweak breaking or pocket universe weak scale values too far from our measured value. Expectations for how landscape SUSY would manifest itself at collider and dark matter search experiments are then modified compared to usual notions.