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Published September 27, 2013 | Published
Journal Article Open

Three-Loop Corrections to the Higgs Boson Mass and Implications for Supersymmetry at the LHC

Abstract

In supersymmetric models with minimal particle content and without left-right squark mixing, the conventional wisdom is that the 125.6 GeV Higgs boson mass implies top squark masses of O(10)  TeV, far beyond the reach of colliders. This conclusion is subject to significant theoretical uncertainties, however, and we provide evidence that it may be far too pessimistic. We evaluate the Higgs boson mass, including the dominant three-loop terms at O(α_tα^2_s), in currently viable models. For multi-TeV top squarks, the three-loop corrections can increase the Higgs boson mass by as much as 3 GeV and lower the required top-squark masses to 3–4 TeV, greatly improving prospects for supersymmetry discovery at the upcoming run of the LHC and its high-luminosity upgrade.

Additional Information

© 2013 American Physical Society. Received 8 July 2013; published 25 September 2013. We thank S. Heinemeyer, S. P. Martin, L. Mihaila, W. Porod, P. Slavich, M. Steinhauser, X. Tata, and N. Zerf for useful discussions, and P. Draper for collaboration in early stages of this work. J. L. F. is supported in part by U.S. NSF Grant No. PHY-0970173 and by the Simons Foundation. P. K. is supported by the DFG through Grant No. SFB/TR- 9 and by the Helmholtz Alliance "Physics at the Terascale." S. P. is supported in part by U.S. DOE Grant No. DE-FG02-04ER41268. D. S. is supported in part by U.S. DOE Grant No. DE-FG02-92ER40701 and by the Gordon and Betty Moore Foundation through Grant No. 776 to the Caltech Moore Center for Theoretical Cosmology and Physics.

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Published - PhysRevLett.111.131802.pdf

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