Status of $Y=0$ Triplet Higgs with supersymmetry in the light of $\sim 125$ GeV Higgs discovery
Priyotosh Bandyopadhyay, Katri Huitu, Asli Sabanci

TL;DR
This paper investigates a supersymmetric model with a $Y=0$ triplet extension, analyzing the Higgs mass spectrum and flavor constraints to identify viable parameter space after the 125 GeV Higgs discovery.
Contribution
It provides a detailed one-loop Higgs mass calculation considering doublet-triplet mixing and explores the impact on squark mass bounds within this model.
Findings
The model accommodates a 125 GeV Higgs with less restrictive squark mass bounds.
Doublet-triplet mixing affects the Higgs decay and flavor observables.
A 200 GeV squark mass remains consistent with experimental constraints.
Abstract
We study the triplet extended supersymmetric model in the light of the recent Higgs boson discovery. We calculate full one loop Higgs mass spectrum in this model where the possible doublet-triplet mixing is considered in the charged Higgs sector. This mixing changes the prediction of in this model, compared to the MSSM. The constraints from the GeV Higgs along with are incorporated to find out the allowed parameter space. The lower bounds on the third generation squark masses coming from 125 GeV Higgs are rather week in this scenario compared to most constrained supersymmetric scenarios, e.g. a 200 GeV squark mass is still possible.
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