# Parametrization of Doubly Charged Higgs Signal for Use in Unbinned Likelihood Fits

## Session Number

Project ID: PHYS 18

## Advisor(s)

Dr. Peter J. Dong, Illinois Mathematics and Science Academy

## Discipline

Physical Science

## Start Date

17-4-2024 8:55 AM

## End Date

17-4-2024 9:10 AM

## Abstract

The doubly charged Higgs boson is part of a Beyond Standard Model theory that aims to explain the left-right asymmetry of the Standard Model through the introduction of a right-handed gauge group. The doubly charged Higgs boson arises from the spontaneous symmetry breaking caused by the right-handed gauge group. Pair-produced doubly charged Higgs bosons decay to two same-sign dilepton pairs, our signal for this analysis which we will be searching for in the CMS detector at the LHC. The purpose of this study is to determine a parametrization that models the observed distribution of the invariant mass doubly charged Higgs. A separate parametrization was created for each decay channel. In addition, an unbinned likelihood fit was created that is able to determine the most likely value of the invariant mass of the doubly charged Higgs using signal and background parametrizations to fit the data. The generated parameterizations will be used in the unbinned likelihood fit that will be able to determine the most likely invariant mass of the doubly charged Higgs or set a limit on the mass of the doubly charged Higgs.

Parametrization of Doubly Charged Higgs Signal for Use in Unbinned Likelihood Fits

The doubly charged Higgs boson is part of a Beyond Standard Model theory that aims to explain the left-right asymmetry of the Standard Model through the introduction of a right-handed gauge group. The doubly charged Higgs boson arises from the spontaneous symmetry breaking caused by the right-handed gauge group. Pair-produced doubly charged Higgs bosons decay to two same-sign dilepton pairs, our signal for this analysis which we will be searching for in the CMS detector at the LHC. The purpose of this study is to determine a parametrization that models the observed distribution of the invariant mass doubly charged Higgs. A separate parametrization was created for each decay channel. In addition, an unbinned likelihood fit was created that is able to determine the most likely value of the invariant mass of the doubly charged Higgs using signal and background parametrizations to fit the data. The generated parameterizations will be used in the unbinned likelihood fit that will be able to determine the most likely invariant mass of the doubly charged Higgs or set a limit on the mass of the doubly charged Higgs.