Oblique corrections from less-Higgsless models in warped space

Abstract

The Higgsless model in warped extra dimension is reexamined. Dirichlet boundary conditions on the TeV brane are replaced with Robin boundary conditions which are parameterized by a mass parameter $M$. We calculate the Peskin-Takeuchi precision parameters $S$, $T$ and $U$ at tree level. We find that to satisfy the constraints on the precision parameters at $99 \%$ [$95 \%$] confidence level (CL) the first Kaluza-Klein excited $Z$ boson, $Z'$, should be heavier than 5 TeV [8 TeV]. The Magnitude of $M$, which is infinitely large in the original model, should be smaller than 200 GeV (70 GeV) for the curvature of the warped space $R^{-1}=10^{16}$ GeV ($10^{8}$ GeV) at $95\%$ CL. If the Robin boundary conditions are induced by the mass terms localized on the TeV brane, from the $99\%$ [$95\%$] bound we find that the brane mass interactions account for more than $97\%$ [$99\%$] of the masses of $Z$ and $W$ bosons. Such a brane mass term is naturally interpreted as a vacuum expectation value of the Higgs scalar field in the standard model localized on the TeV brane. If so, the model can be tested by precise measurements of $HWW$, $HZZ$ couplings and search for 1st Kaluza-Klein excited states.