#### Event Title

### Parametrizing Doubly Charged Higgs Invariant Mass Histograms

#### Session Number

Project ID: PHYS 05

#### Advisor(s)

Dr. Peter Dong; Illinois Mathematics and Science Academy

#### Discipline

Physical Science

#### Start Date

19-4-2023 9:35 AM

#### End Date

19-4-2023 9:50 AM

#### Abstract

The doubly charged Higgs boson is a beyond the standard model particle that arises in the Left-Right Symmetric Model. The invariant mass of this particle is a quantity related to the mass that is the same in every reference frame and is conserved, which makes it useful to measure. The same sign invariant mass histograms of a doubly charged Higgs boson were fitted at specific mass points. With the fitted functions, the goal is to be able to find a peak for any mass point, not only the specific mass points we have Monte Carlo data for. Many functions were used to fit the histograms. The functions obtained from the fits were parameterized in terms of mass. The parameterized functions can be used to perform an unbinned mass likelihood fit.

Parametrizing Doubly Charged Higgs Invariant Mass Histograms

The doubly charged Higgs boson is a beyond the standard model particle that arises in the Left-Right Symmetric Model. The invariant mass of this particle is a quantity related to the mass that is the same in every reference frame and is conserved, which makes it useful to measure. The same sign invariant mass histograms of a doubly charged Higgs boson were fitted at specific mass points. With the fitted functions, the goal is to be able to find a peak for any mass point, not only the specific mass points we have Monte Carlo data for. Many functions were used to fit the histograms. The functions obtained from the fits were parameterized in terms of mass. The parameterized functions can be used to perform an unbinned mass likelihood fit.