Implications of naturalness for the heavy Higgs bosons of supersymmetry
Kyu Jung Bae, Howard Baer, Vernon Barger, Dan Mickelson, Michael, Savoy

TL;DR
This paper explores how naturalness constraints in supersymmetry limit heavy Higgs boson masses and alter their decay patterns, impacting search strategies at colliders.
Contribution
It applies a unified naturalness measure to heavy Higgs bosons, deriving upper mass bounds and identifying new decay channels involving supersymmetric particles.
Findings
Heavy Higgs masses are bounded by naturalness, e.g., m_A<2.5 TeV for 10% fine-tuning at tan(beta)~10.
Light higgsinos significantly change heavy Higgs decay modes, reducing Standard Model final state signatures.
New decay signatures involve high p_T bosons plus missing energy, challenging current detection methods.
Abstract
Recently, it has been argued that various measures of SUSY naturalness-- electroweak, Higgs mass and EENZ/BG-- when applied consistently concur with one another and make very specific predictions for natural supersymmetric spectra. Highly natural spectra are characterized by light higgsinos with mass not too far from m_h and well-mixed but TeV-scale third generation squarks. We apply the unified naturalness measure to the case of heavy Higgs bosons A, H and H^\pm. We find that their masses are bounded from above by naturalness depending on tan(beta): e.g. for 10% fine-tuning and tan(beta)~ 10, we expect m_A< 2.5 TeV whilst for 3% fine-tuning and tan(beta) as high as 50, then m_A< 8 TeV. Furthermore, the presence of light higgsinos seriously alters the heavy Higgs boson branching ratios, thus diminishing prospects for usual searches into Standard Model (SM) final states, while new…
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