Gravitational quantum corrections in warped supersymmetric brane worlds

Details Gravitational quantum corrections in warped supersymmetric brane worlds Gravitational quantum corrections in warped supersymmetric brane worlds

2004-11-23

arxiv.org/abs/hep-th/0411216v2

Nucl.Phys.B720:3-46,2005

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, LaTeX. References added, typos corrected, discussion of section 6.1 changed, conclusions unchanged. To be published

Scientific paper

10.1016/j.nuclphysb.2005.05.001

We study gravitational quantum corrections in supersymmetric theories with warped extra dimensions. We develop for this a superfield formalism for linearized gauged supergravity. We show that the 1-loop effective Kahler potential is a simple functional of the KK spectrum in the presence of generic localized kinetic terms at the two branes. We also present a simple understanding of our results by showing that the leading matter effects are equivalent to suitable displacements of the branes. We then apply this general result to compute the gravity-mediated universal soft mass $m_0^2$ in models where the visible and the hidden sectors are sequestered at the two branes. We find that the contributions coming from radion mediation and brane-to-brane mediation are both negative in the minimal set-up, but the former can become positive if the gravitational kinetic term localized at the hidden brane has a sizeable coefficient. We then compare the features of the two extreme cases of flat and very warped geometry, and give an outlook on the building of viable models.

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