# Parametrization of the Compositeness Energy Scale in Invariant Mass Distributions:

## Advisor(s)

Dr. Peter Dong, Illinois Mathematics and Science Academy

Lenny Spiegel, Fermilab

## Location

Room A149

## Start Date

26-4-2019 10:25 AM

## End Date

26-4-2019 10:40 AM

## Abstract

Calculating the lower limit on the energy scale Λ of preon interactions requires a parameterization of the number of expected events in a bin as a function of Λ. Monte Carlo invariant mass distributions are generated for different values of Λ for each helicity, interference, lepton type, and detector location. These plots can be fit in each bin to the function f(x) = a + b/x^2 + c/x^4. We will show the results of code which takes all available events, applies left-right/right-left helicity reweighting, scales each mass sample by its cross-section, and extracts a parametrization for each mass bin. These parameterizations, which number in the thousands, allow reliable calculations of the limit on Λ.

Parametrization of the Compositeness Energy Scale in Invariant Mass Distributions:

Room A149

Calculating the lower limit on the energy scale Λ of preon interactions requires a parameterization of the number of expected events in a bin as a function of Λ. Monte Carlo invariant mass distributions are generated for different values of Λ for each helicity, interference, lepton type, and detector location. These plots can be fit in each bin to the function f(x) = a + b/x^2 + c/x^4. We will show the results of code which takes all available events, applies left-right/right-left helicity reweighting, scales each mass sample by its cross-section, and extracts a parametrization for each mass bin. These parameterizations, which number in the thousands, allow reliable calculations of the limit on Λ.