# Particle physics systematics and scale conversions with Python

## Session Number

Project ID: PHYS 07

## Advisor(s)

Dr. Peter Dong; llinois Mathematics and Science Academy

## Discipline

Physical Science

## Start Date

22-4-2020 9:10 AM

## End Date

22-4-2020 9:25 AM

## Abstract

To expand on the IMSA-CMS Collaboration’s codebase by adding a mechanism to compute statistical uncertainties and modifying the conventions used in calculating the mass scale.

In the past year, we expanded on our codebase by implementing systematics to compute the statistical uncertainties of results from different energy bins. This was done by using an existing function for statistical uncertainty given a lambda value and using the highest uncertainty per lambda value. We also created another script to quickly translate between the limit on the ultraviolet cutoff ΛT to a limit on the mass scale in the Hewett and HLZ conventions. In addition, we worked on coding a different formula to calculate the form factor based on the number of dimensions in our model. The HLZ (Han, Lykken, and Zhang) parametrization worked correctly for all cases except for the special case n=2 (and the trivial case n=1), so we modified the limit-setting conventions in the code to accurately compute the mass scale.

Particle physics systematics and scale conversions with Python

To expand on the IMSA-CMS Collaboration’s codebase by adding a mechanism to compute statistical uncertainties and modifying the conventions used in calculating the mass scale.

In the past year, we expanded on our codebase by implementing systematics to compute the statistical uncertainties of results from different energy bins. This was done by using an existing function for statistical uncertainty given a lambda value and using the highest uncertainty per lambda value. We also created another script to quickly translate between the limit on the ultraviolet cutoff ΛT to a limit on the mass scale in the Hewett and HLZ conventions. In addition, we worked on coding a different formula to calculate the form factor based on the number of dimensions in our model. The HLZ (Han, Lykken, and Zhang) parametrization worked correctly for all cases except for the special case n=2 (and the trivial case n=1), so we modified the limit-setting conventions in the code to accurately compute the mass scale.