What are backgrounds

Overview

Questions

• What do we mean when we say “backgrounds”?
• Are all backgrounds the same?
• What do we mean by “model backgrounds”?

Objectives

• To develop an understanding of the terms, like background modeling

Introduction

---

As a reminder, we’re going to reproduce parts of a 2019 CMS study for resonant production of top-antitop pairs. The paper can be found here and hypothesizes a particle with specific properties referred to as \(Z'\) which is produced in our proton-proton collisions and then decays to a top-antitop pair.

\[p p \rightarrow Z' \rightarrow t\overline{t}\]

Representation of the resolved (left) and boosted (right) regimes of a top-quark pair decay. From the thesis of M. Missiroli “Searches for top-antitop quark resonances in semileptonic final states with the CMS detector”

A challenge is that there are standard model processes than can produce the same final state objects and can mimic our signal. We have chosen selection criteria such that the kinematics are different from our signal, but we can’t entirely eliminate all the standard model processes and so we need to estimate how much of the remaining collision data can be explained by these background processes.

Backgrounds

---

In particle physics we are usually either a) searching for new physics or b) trying to make a precise measurement of some standard model process.

In the case of the former, we can almost never entirely get rid of all the standard model processes. In the case of the latter, we can almost never get rid of all the other standard model processes that are not the one we’re interested in. In both cases, these remaining data are referred to as backgrounds.

Backgrounds can come in different forms.

• Standard model processes that produce the same final state as what we are interested in
• Mistakes in how we reconstruct our physics objects such that it looks like we have the same final state

The first case is usually what we are dealing with at the LHC experiments.

For example, let’s look at this plot showing a Higgs measurement (formerly a Higgs discovery!). This type of plot is ubiquitous in high energy physics analysis. It shows a stacked histogram of Monte Carlo (simulation) for the signal (Higgs) and background processes, compared with the collision data overlaid.

It is obvious that without the inclusion of the Higgs hypothesis we would not be able to fully describe these data.

Plot of the invariant mass of 4-lepton final states from CMS showing the Higgs peak and other contributing processes.

Now let’s step back and take a look at everything that went into this plot! While we are not going to go through all of this, we draw your attention to the comments about the standard model processes: our backgrounds. Since we are working our way through an exercise where we search for signs of new physics, understanding our background contributions is incredibly important.

There’s a lot that goes into this plot!

Background processes for our analysis

As a reminder, we will concern ourselves with four (4) physics processes that might mimic our signal and which we identify as possible backgrounds.

• Production of a top-quark pair that decays semileptonically
• Production of a top-quark pair that decays hadronically
• Production of a top-quark pair that decays leptonically
• Production of \(W\) bosons in association with jets and when the \(W\) bosons decay leptonically

We made some cuts on the data to reduce these contributions quite a bit, but we can’t get rid of them entirely.

For our analysis, we will use our simulations to estimate the amount that these contribute to the final dataset. But first, let’s walk through a simple example of data-driven background estimation.

Key Points

• Backgrounds can manifest in your analysis for different reasons
• It’s almost impossible to eliminate all backgrounds in collider experiments