The 126 GeV Higgs boson mass and naturalness in (deflected) mirage mediation

TL;DR

This paper investigates the Higgs boson mass and naturalness in deflected mirage mediation, a supersymmetry breaking framework, analyzing fine-tuning and superparticle spectra to match observed Higgs mass.

Contribution

It provides a comprehensive analysis of the Higgs mass and fine-tuning in deflected mirage mediation, identifying parameter regions consistent with observations and less fine-tuning.

Findings

Identifies parameter space compatible with 126 GeV Higgs mass

Shows superparticle mass spectrum consistent with observations

Demonstrates reduced fine-tuning in certain parameter regions

Abstract

We study the mass of the lightest CP-even Higgs boson in the deflected mirage mediation that is a quite general framework of the mediation of supersymmetry breaking, incorporating the case where all of the modulus-, the anomaly- and the gauge-mediated contributions to the soft supersymmetry breaking parameters become sizable. We evaluate the degree of tuning the so-called mu parameter required for realizing a correct electroweak symmetry breaking and study how to accomplish both the observed Higgs boson mass and the relaxed fine-tuning. We identify the parameter space favored from such a perspective and show the superparticle mass spectrum with some input parameters inside the indicated region. The results here would be useful when we aim to prove the communication between the visible and the hidden sectors in supergravity and superstring models based on the recent observations.