Relaxing the W ′ Constraint on Compact Extradimension

Abstract

In this paper, we study the constraint on brane tension and compactification scale for models with brane fluctuations using the results from the direct search of $W^{\prime }$ at 13 TeV LHC, with an integrated luminosity of $36.1f{b}^{-1}$ , in the case for which branon forms the entire cold dark matter. The inclusion of these brane fluctuations suppresses the KK-mode couplings to brane localised matter fields. Unlike the rigid brane scenario, where the compactification scale gets constrained to $\left(1/R\right)>5.2$  TeV, here we show that compactification scales as small as $~1$  TeV are allowed for brane tensions of similar strength.