Narrow Results

Matrix elements of the energy momentum tensor (EMT) bear fundamental information like mass, spin and D-term of a particle which is the “last unknown global property.” Recent progress on EMT form factors of hadrons, their interpretations and applications as well as the experimental status is given.

We show that the sizable D-term contributions to the sfermion mass spectrum can be signatures of a certain grand unified theory (GUT), E₆×SU(2)_F×U(1)_A GUT. Note that these D-term contributions destroy the degeneracy of sfermion masses among different generations in this model. Such D-terms are strongly constrained by the FCNC processes if the SUSY breaking scale is the weak scale. However, in E₆×SU(2)_F×U(1)_A, natural SUSY type sfermion mass spectrum is obtained, and if the masses of 10₃ sfermions are larger than O(1) TeV to realize 125 GeV Higgs and the other sfermion masses are O(10) TeV, then sizable D-term contribution is allowed. If the deviations by these D-terms can be observed in future experiments like 100 TeV proton collider or muon collider, we may confirm the E₆×SU(2)_F×U(1)_A GUT.

We present the mechanism of the dynamical supersymmetry (SUSY) breaking at the metastable vacuum in the SUSY gauge theory with adjoint superfields. The dynamical SUSY breaking is triggered by the non-vanishing D-term coupled to the observable sector, and is realized by the self-consistent Hartree-Fock approximation of the NJL type while it eventually brings us the non-vanishing F-term as well. We numerically check the local stability of our metastable vacuum.