Abstract
The searches for heavy Higgs bosons and supersymmetric (SUSY) particles at the LHC have left the minimal supersymmetric standard model (MSSM) with an unusual spectrum of SUSY particles, namely, all squarks are beyond a few TeV while the Higgs bosons other than the one observed at 125 GeV could be relatively light. In light of this, we study a scenario characterized by two scales: the SUSY breaking scale or the squark-mass scale $(M_S)$ and the heavy Higgs-boson mass scale $(M_A)$.We perform a survey of the MSSM parameter space with $M_S < 10^{10}$ GeV and $M_A < 10^4$ GeV such that the lightest Higgs boson mass is within the range of the observed Higgs boson as well as satisfying a number of constraints. The set of constraints include the invisible decay width of the $Z$ boson and that of the Higgs boson, the chargino-mass limit, dark matter relic abundance from Planck, the spin-independent cross section of direct detection by LUX, and gamma-ray flux from dwarf spheroidal galaxies and gamma-ray line constraints measured by Fermi LAT. Survived regions of parameter space feature the dark matter with correct relic abundance, which is achieved through either coannihilation with charginos, $A/H$ funnels, or both. We show that future measurements, e.g., XENON1T and LZ, of spin-independent cross sections can further squeeze the parameter space.
Highlights
With this scale the gauge coupling unification is naturally achieved in renormalization group equation (RGE) running
We are left with an unusual spectrum of SUSY particles and Higgs bosons: (i) all squarks are heavy beyond a few TeV [1, 2], (ii) the gluino is heavier than about 1 TeV [29], (iii) neutralinos and charginos can be of order O(100−1000) GeV, (iv) heavy Higgs bosons can be of order O(100−1000) GeV [27, 28], and (v) a light Higgs boson with a mass 125 GeV [30, 31]
If mass scale (MA) and mass scale (MS) are set at different values, much larger parameter space with a wide range of tan β will be allowed
Summary
In the case under consideration, we have the two characteristic scales: the high SUSY scale MS and the Higgs mass scale MA. The relevant phenomenology may be described by the effective Lagrangians depending on scale Q as follows: MS < Q. At the scale MS all the sfermions decouple when we assume that they are heavier than or equal to the scale MS. We are left with the spectrum of the Higgs sector of the 2HDM, gauginos, and higgsinos. We take the general 2HDM potential as follows: V2HDM = −μ21(Φ†1Φ1) − μ22(Φ†2Φ2) − m212(Φ†1Φ2) − m∗122(Φ†2Φ1) +λ1(Φ†1Φ1)2 + λ2(Φ†2Φ2)2 + 2λ3(Φ†1Φ1)(Φ†2Φ2) + 2λ4(Φ†1Φ2)(Φ†2Φ1) +λ5(Φ†1Φ2)2 + λ∗5(Φ†2Φ1)2 + 2λ6(Φ†1Φ1)(Φ†1Φ2) + 2λ∗6(Φ†1Φ1)(Φ†2Φ1) +2λ7(Φ†2Φ2)(Φ†1Φ2) + 2λ∗7(Φ†2Φ2)(Φ†2Φ1). Where A = −sβA0d + cβA0u and H+ = −sβHd+ + cβHu+. The wino(bino)-Higgsino-Higgs interactions are given by (2.4)
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