Higgs Mechanism and Bulk Gauge Boson Masses in the Randall-Sundrum Model

Abstract

Assuming the breaking of gauge symmetries by the Higgs mechanism, we consider the associated bulk gauge boson masses in the Randall-Sundrum background. With the Higgs field confined on the TeV-brane, the W and Z boson masses can naturally be an order of magnitude smaller than their Kaluza-Klein excitation masses. Current electroweak precision data requires the lowest excited state to lie above about 30 TeV, with fermions on the TeV-brane. This bound is reduced to about 10 TeV if the fermions reside sufficiently close to the Planck-brane. Thus, some tuning of parameters is needed. We also discuss the bulk Higgs case, where the bounds are an order of magnitude smaller.

Figures (5)

• Figure 1: $\Omega x_0$ versus $a$ for a warp factor $\Omega=10^{14}$.
• Figure 2: Mass ratio of the lowest lying and the first excited KK state versus $a$ for $\Omega=10^{14}$.
• Figure 3: Plots of $\delta_1$ (see eq. \ref{['d1']}) and $\delta_2$ (\ref{['d2']}) versus $a$, with $\Omega=10^{14}$.
• Figure 4: Ground state wave function $f_0(y)$ (eq. \ref{['wave']}) for $a=0.2$, 0.1, 0.05, where $\Omega=10^{14}$.
• Figure 5: Deviation of $g/g_0$ from unity versus the fermion mass parameter $c$, for $a=0.14$ and $\Omega=10^{14}$.