English

Where to look for natural supersymmetry

High Energy Physics - Phenomenology 2016-09-07 v3 High Energy Physics - Experiment High Energy Physics - Theory

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 mAm_A as a function of tanβ\tan \beta, the ratio of the vacuum expectation values of the MSSM Higgs doublets. For a 30-parameter MSSM this implies that mA3m_A \lesssim 3 TeV and tanβ25\tan \beta \lesssim 25 at 95\% Bayesian confidence. Removing the contradictory subjectiveness within the electroweak fine-tuning measure leads to finding the naturalness line, mA12mZtanβ,m_A \sim \frac{1}{\sqrt{2}} \, m_Z \, \tan \beta, that reduces by one the number of MSSM Higgs sector free parameters.

Keywords

Cite

@article{arxiv.1506.02499,
  title  = {Where to look for natural supersymmetry},
  author = {S. S. AbdusSalam and L. Velasco-Sevilla},
  journal= {arXiv preprint arXiv:1506.02499},
  year   = {2016}
}

Comments

v3: minor changes, published in PRD