Abstract
A recent ATLAS search for diboson resonances and a CMS search for $eejj$ resonances which both show excesses with significance around 3 sigma have generated interest in $SU(2)_R$ gauge extensions of the Standard Model with a $W'$ mass around 2 TeV. We investigate the possibility that an $SU(2)_R$ gauge extension of the MSSM compatible with an explanation of the diboson anomaly might give rise to a significant enhancement of the Higgs mass above the MSSM tree level bound $m_{h, \text{tree}} < 90 \; \text{GeV}$ due to non-decoupling D-terms. This model contains a vector-like charge -1/3 $SU(2)_R$ singlet quark for each generation which mixes significantly with the $SU(2)_R$ doublet quarks, affecting the $W_R$ phenomenology. We find that it is possible to achieve $m_{h, \text{tree}} > 110 \; \text {GeV}$, and this requires that the $Z'$ mass is close to 3 TeV.
Highlights
Due to the quadratic sensitivity of the Higgs soft mass to these parameters
We investigate the possibility that an SU(2)R gauge extension of the MSSM compatible with an explanation of the diboson anomaly might give rise to a significant enhancement of the Higgs mass above the MSSM tree level bound mh,tree < 90 GeV due to non-decoupling D-terms
We have explored the possibility that an SU(2)R gauge extention of the MSSM which is compatible with an explanation of the recent diboson, eejj and dijet resonance excesses in terms of a 1.9 TeV WR might give rise to a significant non-decoupling D-term enhancement to the Higgs mass
Summary
Due to the quadratic sensitivity of the Higgs soft mass to these parameters. It is possible that this little hierarchy problem is resolved by extending the matter content of the MSSM to allow for new tree level contributions to the Higgs quartic, either from F -terms as in the NMSSM [1, 2], indicating the presence of new chiral superfields, or from new D-term contributions as is possible in gauge extensions of the MSSM [3,4,5]. It has been pointed out that a compelling candidate to explain these anomalies, if they are a first hint of new physics, is a W from a broken gauge symmetry which couples to right handed (RH) currents [17,18,19,20,21,22,23,24,25,26,27,28], as in models with Left-Right symmetry (LRS) [29, 30] Such a particle is not constrained by the strong limits on l+l− or lν resonances if it is charged and does not have a significant coupling to LH leptons. A recent paper [17] fitted the cross sections for the dijet and diboson signatures, and found that σ × BR(W → W Z) sin2 2β 2.4 fb
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