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The mDbM problem of Dirac gauginos and its solutions

Csaba Csáki1,*, Jessica Goodman2,†, Riccardo Pavesi1,‡, and Yuri Shirman3,§

  • 1Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA
  • 2Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 3Department of Physics, University of California, Irvine, California 92697, USA

  • *csaki@cornell.edu
  • jgoodman@physics.osu.edu
  • rp462@cornell.edu
  • §yshirman@uci.edu

Phys. Rev. D 89, 055005 – Published 12 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.055005

Abstract

We examine the effective low-energy theory of the adjoint sector of Dirac gaugino models and its UV completions, and identify the main source of tuning. A holomorphic scalar adjoint mass square (the “bM term”) is generated at the same order (one-loop) as the Dirac gaugino mass (the “mD term”), leading to the problematic relation bM16π2mD2, somewhat analogous to the μBμ problem of gauge mediation. We identify the leading operators of the low-energy effective theory contributing to the adjoint sector, and evaluate them in various UV completions, confirming the existence of this problem. We suggest a solution by introducing messenger mixing and tuning the relevant parameters. We also present a novel dynamical model for Dirac gauginos based on a strongly coupled supersymmetric (SUSY) QCD theory, where the additional adjoint M is identified with a confined meson, the U(1) with a baryon number-like symmetry, and the messengers with the confined baryons. We find a SUSY-breaking vacuum with a nonvanishing D term, which after tuning the messenger mixing angles gives rise to a realistic gaugino and squark sector.

Article Text

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