# Creating a Framework for the Generation Monte Carlo Limits on Large Extra Dimensions

## Session Number

Project ID: PHYS 03

## Advisor(s)

Dr. Peter Dong; llinois Mathematics and Science Academy

## Discipline

Physical Science

## Start Date

22-4-2020 10:25 AM

## End Date

22-4-2020 10:40 AM

## Abstract

The ADD theory predicts that there are 4+n dimensions by extending spacetime with compactified spatial dimensions which gravity could propagate through. Our analysis focuses on generating real limits on the ultraviolet cutoff Λ, which represents the maximum energy limit on the theory calculations. When Λ is higher, the smaller the effects predicted by the theory will be at low energies. Because of the compactness of these additional dimensions, the ADD model predicts clustered resonant spikes in the invariant mass plot from the decay of virtual gravitons which blur together to effectively look like a non-resonant enhancement.

Because the compositeness theory also predicts a non-resonant enhancement in the dilepton invariant mass spectrum, the ADD theory can theoretically make use of its limit setting software. The compositeness theory limit setting software has implemented a system of lambda parameterizations that combines the yields of the signal and Drell-Yan processes as a function of 1/Λ^2 and then sets a limit directly on Λ. I am currently adapting the compositeness framework so it correctly calculates the limits on Λ according to ADD.

Creating a Framework for the Generation Monte Carlo Limits on Large Extra Dimensions

The ADD theory predicts that there are 4+n dimensions by extending spacetime with compactified spatial dimensions which gravity could propagate through. Our analysis focuses on generating real limits on the ultraviolet cutoff Λ, which represents the maximum energy limit on the theory calculations. When Λ is higher, the smaller the effects predicted by the theory will be at low energies. Because of the compactness of these additional dimensions, the ADD model predicts clustered resonant spikes in the invariant mass plot from the decay of virtual gravitons which blur together to effectively look like a non-resonant enhancement.

Because the compositeness theory also predicts a non-resonant enhancement in the dilepton invariant mass spectrum, the ADD theory can theoretically make use of its limit setting software. The compositeness theory limit setting software has implemented a system of lambda parameterizations that combines the yields of the signal and Drell-Yan processes as a function of 1/Λ^2 and then sets a limit directly on Λ. I am currently adapting the compositeness framework so it correctly calculates the limits on Λ according to ADD.