Randall-Sundrum graviton spin determination using azimuthal angular dependence

TL;DR

This paper explores a method to determine the spin of a hypothetical graviton in the Randall-Sundrum model at the LHC by analyzing azimuthal angular dependence of particle production and decay, focusing on the unique 7 mode.

Contribution

It demonstrates the feasibility of using azimuthal angular dependence to identify the spin-2 nature of the KK graviton at the LHC.

Findings

The 7 mode is a distinctive signature of the spin-2 graviton.

Azimuthal angular analysis can effectively distinguish graviton spin states.

The method provides a new way to probe extra-dimensional models.

Abstract

Quantum interference of helicity amplitudes provides a powerful tool for measuring the spins of new particles. By looking at the azimuthal angular dependence of the differential cross-section in the production followed by decay of a new particle species one can determine its spin by looking at the various cosine modes. The heavy spin-2 Kaluza-Klein (KK) graviton provides a unique signature with a $\cos{(4 \phi)}$ mode. We study the feasibility of this approach to measuring the spin of the KK graviton in the Randall-Sundrum Model at the LHC.