Abstract
Motivated by experimental measurements indicating deviations from the Standard Model predictions, we discuss F-theory-inspired models, which, in addition to the three chiral generations, contain a vector-like complete fermion family. The analysis takes place in the context of SU(5)×U(1)′ GUT embedded in an E8 covering group, which is associated with the (highest) geometric singularity of the elliptic fibration. In this context, the U(1)′ is a linear combination of four abelian factors subjected to the appropriate anomaly cancellation conditions. Furthermore, we require universal U(1)′ charges for the three chiral families and different ones for the corresponding fields of the vector-like representations. Under the aforementioned assumptions, we find 192 models that can be classified into five distinct categories with respect to their specific GUT properties. We exhibit representative examples for each such class and construct the superpotential couplings and the fermion mass matrices. We explore the implications of the vector-like states in low-energy phenomenology, including the predictions regarding the B-meson anomalies. The rôle of R-parity violating terms appearing in some particular models of the above construction is also discussed.
Highlights
The quest for New Physics (NP) phenomena beyond the Standard Model predictions is a principal and interesting issue
We have expanded our previous work on F-theory-motivated models by performing a scan of all the possible SU(5) × U(1) semi-local constructions, predicting a complete family of vector-like exotics
We have presented one illustrative model for each class, exploring the basic properties, computing the superpotential terms and constructing the fermion mass matrices
Summary
The quest for New Physics (NP) phenomena beyond the Standard Model predictions is a principal and interesting issue. It was shown that in the so-derived effective F-theory models, only the existence of additional vector-like families could interpret the LHCb data [10]. To avoid severe constraints for the Kaon system, we look for models where the regular MSSM fermion matter fields acquire universal charges under the additional U(1) symmetry and are chosen to be different from the corresponding states of the vector-like family. This way the non-universality effects are strictly induced from the considered vector-like states [13,14,15,16].
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