Eur. Phys. J. C (2021) 81: 35
https://doi.org/10.1140/epjc/s10052-020-08794-y

Regular Article – Theoretical Physics

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

¹ Physics Department, University of Ioannina, 45110, Ioannina, Greece
² Department of Nuclear and Elementary Particle Physics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

^a akarozas@uoi.gr

Received: 14 July 2020
Accepted: 23 December 2020
Published online: 16 January 2021

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.