Continuum spectra from warped dimensions

TL;DR

This paper investigates gauge boson Green's functions in a 5D warped model with two branes, revealing broad resonances and potential modifications to Standard Model processes in proton-proton collisions.

Contribution

It provides a detailed analysis of the spectral properties of gauge bosons in warped extra dimensions, including the identification of poles and resonances in the Green's functions.

Findings

Green's functions show poles in the second Riemann sheet indicating broad resonances.

Spectral functions are positive, consistent with physical states.

Modifications to Standard Model processes in $pp$ collisions are demonstrated.

Abstract

Using a five dimensional (5D) warped model with two branes along the extra dimension, we study the Green's functions for gauge bosons with a mass gap $m_g = \rho/2$ and a continuum for $s > m_g^2$. We find that the Green's functions exhibit poles in the second Riemann sheet of the complex $s$ plane, denoting the existence of broad resonances. The positivity of the spectral functions is also analyzed. Finally, it is shown how the Green's functions can modify some Standard Model processes in $pp$ collisions.