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Higgs and superparticle mass predictions from the landscape

  • Howard Baer
  • Vernon Barger
  • Hasan Serce
  • Kuver Sinha
Open Access
Regular Article - Theoretical Physics

Abstract

Predictions for the scale of SUSY breaking from the string landscape go back at least a decade to the work of Denef and Douglas on the statistics of flux vacua. The assumption that an assortment of SUSY breaking F and D terms are present in the hidden sector, and their values are uniformly distributed in the landscape of D = 4, N = 1 effective supergravity models, leads to the expectation that the landscape pulls towards large values of soft terms favored by a power law behavior P(msoft) ∼ m soft n . On the other hand, similar to Weinberg’s prediction of the cosmological constant, one can assume an anthropic selection of weak scales not too far from the measured value characterized by mW,Z,h ∼ 100 GeV. Working within a fertile patch of gravity-mediated low energy effective theories where the superpotential μ term is ≪ m3/2, as occurs in models such as radiative breaking of Peccei-Quinn symmetry, this biases statistical distributions on the landscape by a cutoff on the parameter ΔEW, which measures fine-tuning in the mZ-μ mass relation. The combined effect of statistical and anthropic pulls turns out to favor low energy phenomenology that is more or less agnostic to UV physics. While a uniform selection n = 0 of soft terms produces too low a value for mh, taking n = 1 and 2 produce most probabilistically mh ∼ 125 GeV for negative trilinear terms. For n ≥ 1, there is a pull towards split generations with \( {m}_{\tilde{q},\tilde{\ell}}\left(1,2\right)\sim 10-30 \) TeV whilst \( {m}_{{\tilde{t}}_1}\sim 1-2\ \mathrm{T}\mathrm{e}\mathrm{V} \). The most probable gluino mass comes in at ∼ 3 − 4 TeV — apparently beyond the reach of HL-LHC (although the required quasi-degenerate higgsinos should still be within reach). We comment on consequences for SUSY collider and dark matter searches.

Keywords

Supersymmetry Phenomenology Strings and branes phenomenology 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Howard Baer
    • 1
  • Vernon Barger
    • 2
  • Hasan Serce
    • 3
  • Kuver Sinha
    • 1
  1. 1.Homer L. Dodge Department of Physics and AstronomyUniversity of OklahomaNormanU.S.A.
  2. 2.Department of PhysicsUniversity of WisconsinMadisonU.S.A.
  3. 3.Department of Engineering and PhysicsUniversity of Central OklahomaEdmundU.S.A.

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