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A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model

Shoichi Ichinose·Akihiro Murayama
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Abstract

Supersymmetric effective potential of a 5D super-Yang-Mills model compactified on $S^1/Z_2$, i.e., on an interval $l$ of extra dimension, is estimated at the 1-loop level by the auxiliary field tadpole method. For the sake of infinite towers of Kaluza-Klein excitation modes of bulk fields involved in the tadpoles, there arises a definite bulk effect of linear growth of the effective potential along with the cutoff ${\mitΛ}$ which is greatly suppressed by $l$ to produce finite contributions. The minimization of the effective potential incorporating the tree potential and a Fayet-Iliopoulos $D$-term reveals an interesting case that the size of $l$ is stabilized at a length corresponding to an intermediate mass scale $10^{12-14}$ GeV.

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Shoichi Ichinose, Akihiro Murayama. 2004-04-28. A Bulk Effect to SUSY Effective Potential in a 5D Super-Yang-Mills Model. https://doi.org/10.1016/j.physletb.2004.05.002

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