Abstract
Recent discovery of the SM-like Higgs boson with m h ≃ 125 GeV motivates an extension of the minimal supersymmetric standard model (MSSM), which involves a singlet Higgs superfield with a sizable Yukawa coupling to the doublet Higgs superfields. We examine such singlet-extended SUSY models with a Peccei-Quinn (PQ) symmetry that originates from an anomalous U(1) A gauge symmetry. We focus on the specific scheme that the PQ symmetry is spontaneously broken at an intermediate scale v PQ ∼ m SUSY M Pl by an interplay between Planck scale suppressed operators and tachyonic soft scalar mass $$ {m}_{\mathrm{SUSY}}\sim \sqrt{D_A} $$ induced dominantly by the U(1) A D-term D A . This scheme also results in spontaneous SUSY breaking in the PQ sector, generating the gaugino masses $$ {m}_{1/2}\sim \sqrt{D_A} $$ when it is transmitted to the MSSM sector by the conventional gauge mediation mechanism. As a result, the MSSM soft parameters in this scheme are induced mostly by the U(1) A D-term and the gauge mediated SUSY breaking from the PQ sector, so that the sparticle masses can be near the present experimental bounds without causing the SUSY flavor problem. The scheme is severely constrained by the condition that a phenomenologically viable form of the low energy operators of the singlet and doublet Higgs superfields is generated by the PQ breaking sector in a way similar to the Kim-Nilles solution of the μ problem, and the resulting Higgs mass parameters allow the electroweak symmetry breaking with small tan β. We find two minimal models with two singlet Higgs superfields, satisfying this condition with a relatively simple form of the PQ breaking sector, and briefly discuss some phenomenological aspects of the model.
Highlights
As possible, being close to the present experimental bounds [11]
The scheme is severely constrained by the condition that a phenomenologically viable form of the low energy operators of the singlet and doublet Higgs superfields is generated by the PQ breaking sector in a way similar to the Kim-Nilles solution of the μ problem, and the resulting Higgs mass parameters allow the electroweak symmetry breaking with small tan β
To explain the recently discovered SM-like Higgs boson mass mh ≃ 125 GeV within the framework of the minimal supersymmetric standard model (MSSM), the stops need to have a mass around multi-TeV or even heavier, which is well above the current direct search limit [12, 13]
Summary
At energy scale below MA, we have the PQ symmetry as a remnant of U(1)A. If the SUSY breaking modulus Tb contacts with the PQ and visible sector through loop correction in the Kahler potential, it is plausible to take ǫ2 ∼ 1/8π2, as estimated in appendix A In this case, soft scalar masses are dominated by D-term mediation of order of m3/2, whereas A-terms and gaugino masses mainly come from moduli mediation: Aijk ∼ F Tb ∂tb ln(e−K0 ZiZj Zk) ∼. As a soft scalar mass squared m2i from a D-term mediation is proportional to an PQ charge qi, we can make some of scalar fields tachyonic by assigning a positive charge In this regard, our setup provides a natural situation for PQ symmetry breaking through the scenario in ref. Our choice of the superpotential (2.18) is quite generic
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
