Abstract

The search for extra dimensions has so far yielded no positive results at the LHC. Along with the discovery of a 125  $$\, {\mathrm{GeV}}$$ Higgs boson, this implies a moderate degree of fine-tuning in the parameter space of the Randall–Sundrum model. Within a six-dimensional warped compactification scenario, with its own interesting phenomenological consequences, the parameters associated with the additional spatial direction can be used to eliminate the need for fine-tuning. We examine the constraints on this model due to the 8  $$\, {\mathrm{TeV}}$$ LHC data and survey the parameter space that can be probed at the 14  $$\, {\mathrm{TeV}}$$ run of the LHC. We also identify the region of parameter space that is consistent with the recently reported excess in the diphoton channel in the 13  $$\, {\mathrm{TeV}}$$ data. Finally, as an alternative explanation for the observed excess, we discuss a scenario with brane-localized Einstein–Hilbert terms with Standard Model fields in the bulk.

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