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A natural SUSY Higgs near 125 GeV

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Abstract

The naturalness of a Higgs boson with a mass near 125 GeV is explored in a variety of weak-scale supersymmetric models. A Higgs mass of this size strongly points towards a non-minimal implementation of supersymmetry. The Minimal Supersymmetric Standard Model now requires large A-terms to avoid multi-TeV stops. The fine-tuning is at least 1 % for low messenger scales, and an order of magnitude worse for high messenger scales. Naturalness is significantly improved in theories with a singlet superfield S coupled to the Higgs superfields via λSH u H d. If λ is perturbative up to unified scales, a fine-tuning of about 10 % is possible with a low mediation scale. Larger values of λ, implying new strong interactions below unified scales, allow for a highly natural 125 GeV Higgs boson over a wide range of parameters. Even for λ as large as 2, where a heavier Higgs might be expected, a light Higgs boson naturally results from singlet-doublet scalar mixing. Although the Higgs is light, naturalness allows for stops as heavy as 1.5 TeV and a gluino as heavy as 3 TeV. Non-decoupling effects among the Higgs doublets can significantly suppress the coupling of the light Higgs to b quarks in theories with a large λ, enhancing the γγ and W W signal rates at the LHC by an order one factor relative to the Standard Model Higgs.

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  1. Berkeley Center for Theoretical Physics, Department of Physics, and Theoretical Physics Group, Lawrence Berkeley National Laboratory, University of California, Berkeley, CA, 94720, U.S.A

    Lawrence J. Hall, David Pinner & Joshua T. Ruderman

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  1. Lawrence J. Hall
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  2. David Pinner
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Correspondence to David Pinner.

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ArXiv ePrint: 1112.2703

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Hall, L.J., Pinner, D. & Ruderman, J.T. A natural SUSY Higgs near 125 GeV. J. High Energ. Phys. 2012, 131 (2012). https://doi.org/10.1007/JHEP04(2012)131

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