D-term Dynamical Supersymmetry Breaking K. Fujiwara and, H.I. and M. Sakaguchi arXiv: hep-th/0409060, P. T. P. 113 arXiv: hep-th/0503113, N. P. B 723 H. I., K. Maruyoshi and S. Minato arXiv:0909.5486, Nucl. Phys. B 830 cf. 1 with N. Maru (Keio U.) • arXiv:1109.2276 • one in preparation I) Introduction breaking of SUSY less frequent compared with that of internal symmetry ble to break SUSY dynamically (DSB) has been popular since mid 80’s, in particular, ontext of instanton generated superpotential k, we will accomplish D term DSB, DDSB, for short e nonrenormalizable D-gaugino-matter fermion and most natural in the context of SUSY gaug ous broken to ala APT-FIS
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D-term Dynamical Supersymmetry Breaking K. Fujiwara and, H.I. and M. Sakaguchi arXiv: hep-th/0409060, P. T. P. 113 arXiv: hep-th/0503113, N. P. B 723 H.
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D-term Dynamical Supersymmetry Breaking
K. Fujiwara and, H.I. and M. SakaguchiarXiv: hep-th/0409060, P. T. P. 113arXiv: hep-th/0503113, N. P. B 723
H. I., K. Maruyoshi and S. MinatoarXiv:0909.5486, Nucl. Phys. B 830
cf.
1
with N. Maru (Keio U.)• arXiv:1109.2276 • one in preparation
I) Introduction• spontaneous breaking of SUSY
is much less frequent compared with that of internal symmetry • most desirable to break SUSY dynamically (DSB) • F term DSB has been popular since mid 80’s, in particular,
in the context of instanton generated superpotential • In this talk, we will accomplish D term DSB, DDSB, for short• based on the nonrenormalizable D-gaugino-matter fermion
coupling and most natural in the context of SUSY gauge theory
spontaneous broken to ala APT-FIS
II) Basic idea• Start from a general lagrangian
: a Kähler potential : a gauge kinetic superfield of the chiral superfield in the adjoint representation: a superpotential.
• bilinears:
where .
no bosonic counterpart
assume is the 2nd derivative of a trace fn.
the gauginos receive masses of mixed Majorana-Dirac type and are split.
: holomorphic and nonvanishing part of the mass
2
3
• Determination of
stationary condition to
where is the one-loop contribution
and is a counterterm.
In fact, the stationary condition is nothing but the well-known gap equation of
the theory on-shell which contains four-fermi interactions.
condensation of the Dirac bilinear is responsible for
The rest of my talk
ContentsI) Introduction
II) Basic idea
III) Illustration by the Theory with vacuum
at tree level
IV) Mass spectrum at tree level and supercurrent
V) Self-consistent Hartree Fock approximation
VI) Vacuum shift and metastability (qualitative)
VII) Our work in the context of MSSM
VIII) More on the fermion masses in the H. F. (qualitative)