On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models

Abstract

We study low energy implications of F-theory GUT models based on $SU(5)$ extended by a $U(1{)}^{\prime }$ 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, $E_8\supset SU(5)\times SU(5{)}^{\prime }\supset SU(5)\times U(1{)}^4$. 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 $U(1{)}^{\prime }$ 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 $U(1{)}^{\prime }$ 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.

Comments: 48 pages, 5 figures, typos corrected, references updated, results unchanged, published version