Abstract
Closed string fluxes induce generically SUSY-breaking soft terms on supersymmetric type IIB orientifold compactifications with D3/D7 branes. This was studied in the past by inserting those fluxes on the DBI+CS actions for adjoint D3/D7 fields, where D7-branes had no magnetic fluxes. In the present work we generalise those computations to the phenomenologically more relevant case of chiral bi-fundamental fields laying at 7-brane intersections and F-theory local matter curves. We also include the effect of 7-brane magnetic flux as well as more general closed string backgrounds, including the effect of distant \( \mathrm{D}3\left(\overline{D3}\right) \)-branes. We discuss several applications of our results. We find that squark/slepton masses become in general flux-dependent in F-theory GUT’s. Hypercharge-dependent non-universal scalar masses with a characteristic sfermion hierarchy m 2 E < m 2 L < m 2 Q < m 2 D < m 2 U are obtained. There are also flavor-violating soft terms both for matter fields living at intersecting 7-branes or on D3-branes at singularities. They point at a very heavy sfermion spectrum to avoid FCNC constraints. We also discuss the possible microscopic description of the fine-tuning of the EW Higgs boson in compactifications with a MSSM spectrum.
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Cámara, P.G., Ibáñez, L.E. & Valenzuela, I. Flux-induced soft terms on type IIB/F-theory matter curves and hypercharge dependent scalar masses. J. High Energ. Phys. 2014, 119 (2014). https://doi.org/10.1007/JHEP06(2014)119
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DOI: https://doi.org/10.1007/JHEP06(2014)119