## Abstract

The recent discovery of the putative 125 GeV Higgs boson has motivated a number of attempts to reconcile its relatively large mass with the predictions of the minimal supersymmetric standard model (MSSM). Some approaches invoked large trilinear supersymmetry breaking terms A_{t} between stops and one of the elementary Higgs fields. We consider the possibility that electroweak symmetry breaking may be triggered by supersymmetry breaking with a large A_{t}, large enough to generate a composite field with the same quantum numbers as the Higgs boson and with a non-vanishing vacuum expectation value. In the resulting vacuum, the usual relation between the gauge couplings and the Higgs self-coupling does not apply, and there is no reason to expect the same upper bound on the mass of the lightest Higgs boson. In a simple model where the bound state is assumed to have no mixing with the other fields, we calculate the critical coupling A_{t} necessary for symmetry breaking using the lowest-order Bethe-Salpeter (BS) equation. Study of the BS equation is complicated by the structure of its lowest-order kernel, which is a crossed box graph, but we find an accurate approximation to its solution. In a realistic model, the mixing of the bound state with the fundamental Higgs boson creates a symmetry-breaking seesaw. We outline the steps toward a realistic model.

Original language | English (US) |
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Pages (from-to) | 951-956 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 718 |

Issue number | 3 |

DOIs | |

State | Published - Jan 8 2013 |

### Bibliographical note

Funding Information:We thank T.T. Yanagida for stimulating discussions and for many valuable comments. This work was supported in part by DOE Grant DE-FG03-91ER40662 . A.K. appreciates support of World Premier International Research Center Initiative, MEXT, Japan , as well as hospitality of the Aspen Center for Physics, which is supported by the NSF Grant No. PHY-1066293 .