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
D-term Dynamical Supersymmetry Breaking. with N. Maru (Keio U.) arXiv:1109.2276 one in preparation. 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 - PowerPoint PPT Presentation
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D-term Dynamical Supersymmetry BreakingK. Fujiwara and, H.I. and M. SakaguchiarXiv: hep-th/0409060, P. T. P. 113arXiv: hep-th/0503113, N. P. B 723H. 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 ofthe theory on-shell which contains four-fermi interactions.
condensation of the Dirac bilinear is responsible for
The rest of my talk
ContentsI) IntroductionII) Basic ideaIII) Illustration by the Theory with vacuum at tree levelIV) Mass spectrum at tree level and supercurrentV) Self-consistent Hartree Fock approximationVI) Vacuum shift and metastability (qualitative)VII) Our work in the context of MSSMVIII) More on the fermion masses in the H. F. (qualitative)
• transmission of DDSB in to the rest of the theory by higher order loop-corrections
the sfermion masses
the gaugino masses of the quadratic Casimir of representation some function of , which is essentially
Fox, Nelson, Weiner, JHEP(2002)
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• Demanding
We obtain
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VIII) More on the fermion masses in the H. F. (qualitative)
• Back to the general theory with 3 input functions
• H. F. can be made into a systematic expansion by an index loop argument.
• Take to be .
• In the unbroken phase,
The gap eq. is
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• Two sources beyond tree but leading in H. F.
i) Due to the vacuum shift, as well
ii) For U(1) sector, an index loop circulates
These contribute to the masses in the leading order in the H. F.
+
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D-term Dynamical Supersymmetry BreakingK. Fujiwara and, H.I. and M. SakaguchiarXiv: hep-th/0409060, P. T. P. 113arXiv: hep-th/0503113, N. P. B 723H. I., K. Maruyoshi and S. MinatoarXiv:0909.5486, Nucl. Phys. B 830
cf.with N. Maru (Keio U.)• arXiv:1109.2276 • one in preparation