# Calculating and Displaying Limits of the Doubly Charged Higgs Boson at Different Branching Ratios

## Session Number

Project ID: PHYS 06

## Advisor(s)

Dr. Peter Dong; Illinois Mathematics and Science Academy

## Discipline

Physical Science

## Start Date

19-4-2023 10:05 AM

## End Date

19-4-2023 10:20 AM

## Abstract

The doubly charged Higgs boson (H++/H--) is predicted in many extensions of the Standard Model. When searching for the doubly charged Higgs, we look for its decay through a distinctive signal of a same sign lepton pair, which can appear in 6 unique combinations, ignoring combinations containing tau leptons. The rate at which each of those 6 appear relative to one another is known as the branching ratio, the values of which are unknown, and thus need to be considered individually. When experiments are conducted, if no evidence of the H++ is found, then a lower limit is set for the invariant mass. In this paper, we detail our method of calculating and visualizing different limits of the H++ mass at various values for potential branching ratios of the H++. We generate an example model by using toy values to create 2D cross-sections of a 3D histogram, using a color gradient to illustrate the branching ratios and their corresponding limits. Our model will be used when further analysis is complete to visualize the effect of branching ratios on experimental data.

Calculating and Displaying Limits of the Doubly Charged Higgs Boson at Different Branching Ratios

The doubly charged Higgs boson (H++/H--) is predicted in many extensions of the Standard Model. When searching for the doubly charged Higgs, we look for its decay through a distinctive signal of a same sign lepton pair, which can appear in 6 unique combinations, ignoring combinations containing tau leptons. The rate at which each of those 6 appear relative to one another is known as the branching ratio, the values of which are unknown, and thus need to be considered individually. When experiments are conducted, if no evidence of the H++ is found, then a lower limit is set for the invariant mass. In this paper, we detail our method of calculating and visualizing different limits of the H++ mass at various values for potential branching ratios of the H++. We generate an example model by using toy values to create 2D cross-sections of a 3D histogram, using a color gradient to illustrate the branching ratios and their corresponding limits. Our model will be used when further analysis is complete to visualize the effect of branching ratios on experimental data.