Supersymmetric D-term Twin Higgs

Abstract

We propose a new type of supersymmetric Twin Higgs model where the SU(4) invariant quartic term is provided by a D-term potential of a new U(1) gauge symmetry. In the model the 125 GeV Higgs mass can be obtained for stop masses below 1 TeV, and a tuning required to obtain the correct electroweak scale can be as low as 20%. A stop mass of about 2 TeV is also possible with tuning of order O(10) %.

Minimal non-abelian supersymmetric Twin Higgs

“…[37]. For the stop mass below about 1 TeV, the U(1) X is less tuned with tuning even better than 20%.…”

“…provides a large SU(4) invariant quartic term [37]. It should be, however, emphasised that the tuning at the level of 10% can be obtained in these models only for a low mediation scale or a low Landau pole scale.…”

“…In this section we present a SUSY D-term Twin Higgs model [37] where the D-term potential of a new SU(2) X gauge symmetry generates the SU(4) invariant quartic coupling. We assume a Z 2 symmetry exchanging the SM with its mirror copy, and denote mirror objects with supersctripts .…”

“…In order to assess the impact of this constraint we compute the Higgs mass following closely the procedure described in ref. [37]. The blue bands show the parameter region with 16 GeV (lower panels).…”

“…Early realisations of SUSY UV completion of Twin Higgs scenario [14,15], which generate an SU(4) invariant quartic term with an F -term potential of a heavy singlet superfield, are not able to significantly reduce fine-tuning as compared to non-Twin SUSY models [35][36][37]. It was only very recently that SUSY Twin Higgs models were proposed in which tuning at the level of 10% is possible by introducing either hard Z 2 symmetry breaking in the F -term model [36] or a new U(1) X gauge symmetry whose D-term potential…”