Abstract
We show that the mu problem and the strong CP problem can be resolved in the context of the gauged U(1)_R symmetry, realizing an automatic Peccei-Quinn symmetry. In this scheme, right-handed neutrinos can be introduced to explain small Majorana or Dirac neutrino mass. The U(1)_R D-term mediated SUSY breaking, called the U(1)_R mediation, gives rise to a specific form of the flavor-conserving superpartner masses. For the given solution to the mu problem, electroweak symmetry breaking condition requires the superpartners of the Standard Model at low energy to be much heavier than the gravitino. Thus dark matter candidate can be either gravitino or right-handed sneutrino. In the Majorana neutrino case, only gravitino is a natural dark matter candidate. On the other hand, in the Dirac neutrino case, the right-handed sneutrino can be also a dark matter candidate as it gets mass only from SUSY breaking. We discuss the non-thermal production of our dark matter candidates from the late decay of stau and find that the constraints from the Big Bang Nucleosynthesis can be evaded for a TeV-scale stau mass.
Highlights
N 1⁄4 1 supersymmetry (SUSY) contains a continuous Uð1ÞR group transforming different supercharges and distinguishing between bosonic and fermionic components of superfields
We have shown that the gauged Uð1ÞR symmetry naturally realizes the solution to the problem and accommodates the axion solution to the strong CP problem
The gauged Uð1ÞR symmetry restricts the generated B term to be larger than the other scalar soft masses of order the gravitino mass, resulting in M1=2 ) m3=2
Summary
N 1⁄4 1 supersymmetry (SUSY) contains a continuous Uð1ÞR group transforming different supercharges and distinguishing between bosonic and fermionic components of superfields. The observed neutrino masses and mixing can be explained by introducing three right-handed neutrinos, which can form Majorana neutrinos by the usual seesaw mechanism (at the intermediate axion scale of order 1010–12 GeV or at the TeV scale) or Dirac neutrinos with tiny neutrino Yukawa couplings In this framework, we find that the electroweak symmetry breaking (EWSB) condition requires a peculiar superparticle mass spectrum: all the superparticles in the minimal supersymmetric standard model (MSSM) sector have masses of the TeV scale, whereas the gravitino or right-handed sneutrino masses can be around 100 GeV. There are four appendices comprised of the minimization of the singlet scalar potential, the identification of the axion for multiple scalar VEVs, the discussions on the effective R-parity, and Peccei-Quinn symmetry (PQ) symmetry violating terms induced after the R-symmetry breakdown
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