Abstract

Models of natural supersymmetry give rise to a weak scale m_{weak}sim m_{W,Z,h}sim 100 GeV without any (implausible) finetuning of independent contributions to the weak scale. These models, which exhibit radiatively driven naturalness (RNS), are expected to arise from statistical analysis of the string landscape wherein large soft terms are favored, but subject to a not-too-large value of the derived weak scale in each pocket universe of the greater multiverse. The string landscape picture then predicts, using the Isajet SUSY spectra generator Isasugra, a statistical peak at m_hsim 125 GeV with sparticles generally beyond current LHC search limits. In this paper, we investigate how well these conclusions hold up using other popular spectra generators: SOFTSUSY, SPHENO and SUSPECT (SSS). We built a computer code DEW4SLHA which operates on SUSY Les Houches Accord files to calculate the associated electroweak naturalness measure Delta _{EW}. The SSS generators tend to yield a Higgs mass peak sim 125–127 GeV with a superparticle mass spectra rather similar to that generated by Isasugra. In an Appendix, we include loop corrections to Delta _{EW} in a more standard notation.

Highlights

  • Supersymmetrization of the Standard Model (SM) elegantly solves the gauge hierarchy problem but at the expense of including a host of new matter states, the so-called superpartners

  • In the case of the latter, DEW4SLHA extracts the values of parameters at the maximum grid scale and computes DEW using the parameters at this scale

  • SPHENO has slightly more stop mixing than the other codes which increases EW somewhat

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Summary

Introduction

Supersymmetrization of the Standard Model (SM) elegantly solves the gauge hierarchy problem (stabilizing the newly discovered Higgs boson mass under quantum corrections) but at the expense of including a host of new matter states, the so-called superpartners. Of the spectrum generators available, Isasugra has been used the most for such studies These include sparticle mass bounds from naturalness, and parameter space limits and lucrative collider signatures from natural SUSY. In a subset of vacua with the MSSM as low energy EFT but with variable soft terms, absent finetuning, the pocket universe value of the weak scale mwPeUak will nearly be the maximal contribution to the RHS of Eq 1. A value m ZPU ∼ 4m OZ U corresponds to a value EW 30 This anthropic veto has been used along with a landscape pull to large soft terms to make statistical predictions from the string landscape for the SUSY and Higgs boson masses.

The DEW4SLHA code
Natural SUSY benchmark points
String landscape distributions from SOFTSUSY
Conclusions
Squarks and sleptons
Sfermions
Neutralinos
Charginos
Weak bosons
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