On the LHC signatures of $SU(5)\times U(1)'$ F-theory motivated models

TL;DR

This paper explores F-theory GUT models with an extended $SU(5)\times U(1)'$ symmetry, analyzing their low-energy signatures, anomaly cancellation, and potential explanations for B-meson anomalies observed at LHCb and BaBar.

Contribution

It introduces new classes of F-theory motivated models with non-universal $U(1)'$ charges, anomaly-free constructions, and investigates their LHC phenomenology and relevance to B-meson anomalies.

Findings

Models can explain B-meson anomalies within LHC constraints.

Certain $U(1)'$ charge assignments lead to distinctive collider signatures.

Predictions include specific zero modes and fermion mass textures.

Abstract

We study low energy implications of F-theory GUT models based on $SU(5)$ extended by a $U(1)'$ symmetry which couples non-universally to the three families of quarks and leptons. This gauge group arises naturally from the maximal exceptional gauge symmetry of an elliptically fibred internal space, at a single point of enhancement, $E_8\supset SU(5)\times SU(5)'\supset SU(5)\times U(1)^4$. Rank-one fermion mass textures and a tree-level top quark coupling are guaranteed by imposing a $Z_2$ monodromy group which identifies two abelian factors of the above breaking sequence. The $U(1)'$ factor of the gauge symmetry is an anomaly free linear combination of the three remaining abelian symmetries left over by $Z_2$. Several classes of models are obtained, distinguished with respect to the $U(1)'$ charges of the representations, and possible extra zero modes coming in vector-like representations. The predictions of these models are investigated and are compared with the LHC results and other related experiments. Particular cases interpreting the B-meson anomalies observed in LHCb and BaBar experiments are also discussed.