Can supersymmetry breaking lead to electroweak symmetry breaking via formation of scalar bound states?
arXiv:1210.6433 · doi:10.1016/j.physletb.2012.11.024
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.
arXiv comment9 pages, 6 figures
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- Bound States via Higgs Exchanging and Resonant Di-Higgs
- Two-Higgs-doublet model with a color-triplet scalar: a joint explanation for top quark forward-backward asymmetry and Higgs decay to diphoton
- Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
- Validity of the CMSSM interpretation of the diphoton excess
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