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arXiv · 1506.02499

Where to look for natural supersymmetry

S. S. AbdusSalam·L. Velasco-Sevilla
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Abstract

Why is natural supersymmetry neither detected nor ruled-out to date? To answer this question we use the Bayesian approach where the emphasis on finding prior-independent features within broader and minimally biased frames is taken as the guiding principle. The 20-parameter minimal supersymmetric standard model (MSSM) fits to subjective naturalness indicate the existence of a prior-independent upper bound on the pseudoscalar Higgs boson mass $m_A$ as a function of $\tan \beta$, the ratio of the vacuum expectation values of the MSSM Higgs doublets. For a 30-parameter MSSM this implies that $m_A \lesssim 3$ TeV and $\tan \beta \lesssim 25$ at 95\% Bayesian confidence. Removing the contradictory subjectiveness within the electroweak fine-tuning measure leads to finding the naturalness line, $m_A \sim \frac{1}{\sqrt{2}} \, m_Z \, \tan \beta,$ that reduces by one the number of MSSM Higgs sector free parameters.

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S. S. AbdusSalam, L. Velasco-Sevilla. 2015-06-08. Where to look for natural supersymmetry. https://doi.org/10.1103/physrevd.94.035026

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