The $m_D-b_M$ Problem of Dirac Gauginos and its Solutions

Csaba Csaki; Jessica Goodman; Riccardo Pavesi; Yuri Shirman

doi:10.1103/PhysRevD.89.055005

paper

The $m_{D} - b_{M}$ Problem of Dirac Gauginos and its Solutions

arXiv:1310.4504 · doi: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 " $b_{M}$ term") is generated at the same order (1-loop) as the Dirac gaugino mass (the " $m_{D}$ term"), leading to the problematic relation $b_{M} \sim 16 π^{2} m_{D}^{2}$ , somewhat analogous to the $μ - B_{μ}$ 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 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 non-vanishing D-term, which after tuning the messenger mixing angles gives rise to a realistic gaugino and squark sector.

26 pages, 9 figures. v2: references added, typos fixed, minor corrections to spectrum table. v3: fix to two-loop RGE of sfermion masses and supertrace definition in the introduction

The $m_{D} - b_{M}$ Problem of Dirac Gauginos and its Solutions

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The mD​−bM​ Problem of Dirac Gauginos and its Solutions

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The $m_{D} - b_{M}$ Problem of Dirac Gauginos and its Solutions