Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter

Details Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter Superspace approach to the renormalization of the O'Raifeartaigh model up to the second order in the LDE parameter

2012-03-17

arxiv.org/abs/1203.3891v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, 4 figures, revtex4. arXiv admin note: text overlap with arXiv:0904.4672

Scientific paper

We adopt a superspace/supergraph formalism to pursue the investigation of the structure of one- and two-loop divergences in the frame of the minimal O'Raifeartaigh model that realizes the F-term spontaneous supersymmetry breaking. The linear delta expansion(LDE) procedure is introduced and renormalization is carried out up to the second order in the LDE expansion parameter. In agreement with the nonrenormalization theorem for the (chiral/antichiral) matter potential of ${\mathcal N}=1, \ D=4$ supersymmetry, our explicit supergraph calculations confirm that only the K\"{a}hler potential is actually renomalized.

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