Validation Regions for non-prompt background estimation in same charged \(W^{\pm}W^{\pm}\) scattering
(Status report)
Sebastian Ordoñez
jsordonezs@unal.edu.co
18th of May 2021


Outline
- Introduction
- Trilepton muon Validation Region
- Evaluation
- Closure Test within the muon Validation Region
- Data Closure Test
- MC Closure Test
- Trilepton electron Validation Region
- Conclusion
- Next steps
In the data-driven background estimation we use three orthogonal regions:
- Control Region: enriched in non-prompt background, there the fake factors \(F\) are extracted. In this study the \(F\) are extracted from a dilepton CR → Max master's thesis.
VR
SR
CR
\(F\) application
\(F\) validation
- Signal Region: phase space that is defined through selections on kinematic variables, enriched in potential signal of interest → ssWW
- Validation Regions: regions in phase space orthogonal to CR and SR, where the extrapolation is verified → My work
- Validation Region for muons
- Validation Region for electrons
Introduction
\(F\) extraction
Trilepton muon Validation Region
In this Validation Region we apply the following selection flow:
We need to guarantee that fake muons have a \(p_{T}>27\) GeV in order to be able to apply the fake factor.

Definition
Composition of the non-prompt muons
Trilepton muon Validation Region
Evaluation
- Large number of total events and high purity in non-prompt muons.
- Good data modeling
- Agreement with the SR in the composition of non-prompt muons.

Composition of the non-prompt muons
Ana leptons


Trilepton muon Validation Region
Signal Region
Trilepton muon Validation Region
Evaluation
Statistics and data modeling


\(E_{T}^{miss}\) distribution for Non-Ana events
\(E_{T}^{miss}\) distribution for Ana events
Statistics and data modeling
- The contribution of non-prompt muons in the trilepton muon Validation Region is almost 50%.
- This represents an improvement in comparison to the Low dijet invariant mass Validation Region where it was about 25%.


\(E_{T}^{miss}\) dist. in the Low \(m_{jj}\) VR
Number of events for each MC category and data in the trilepton muon VR
Closure Test within the trilepton muon Validation Region
In order to test the Matrix Method, MC and data fake factors extracted from the dilepton Control Region are applied to events with one non-prompt Non-Ana muon.
?
Monte Carlo Closure Test
- The fake factor is extracted from MC in dilepton Control Region and then applied to MC in the Validation Region
- What do we want to compare in this test?
\(N_{A}^{fake}\) estimated by the MC-data-driven method is compared to \(N_{A}^{fake}\) which are actually non-prompt according to the MC truth level information (Non-prompt MC).
Closure Test within the trilepton muon Validation Region
Data-driven Fake Factor Method
The method introduces the probability \(e_{i}\) (\(f_{i}\)) that a prompt (non-prompt) lepton passes the Ana requirements. The above equation is explicitly written as:
Where the bars mean the negation, i.e. the probability that a prompt (non-prompt) lepton does not pass the Ana selection. The fake factor is given by:
Closure Test within the trilepton muon Validation Region
Data Closure Test
- The fake factor is extracted from data in the dilepton Control Region and applied in data in the Validation Region.
- What do we want to compare in this test?
Study how well the data corresponds to the sum of MC predictions for all processes (Prompt MC) and Charge flip (Charge flip MC) and the non-prompt background estimated with the Matrix Method.
In an "ideal scenario" it would be expected that:
Closure Test within the trilepton muon Validation Region

- The number of non-prompt events in this Validation Region is underestimated, especiallly the fake muons with \(p_{T}>40\)GeV.
- A perfect agreement is not expected here because of modelling differences among MC generators/samples.
- It is acceptable to try the closure test on data.
Fake muons \(p_{T}\) distribution
Monte Carlo Closure Test
- The technical setup seems to work.

Closure Test within the trilepton muon Validation Region


\(m_{lll}\) distribution
\(E_{T}^{miss}\) distribution
Monte Carlo Closure Test
Closure Test within the trilepton muon Validation Region

\(m_{jj}\) distribution

Leading jet \(p_{T }\) distribution
Monte Carlo Closure Test
Closure Test within the trilepton muon Validation Region


Subleading lepton \(p_{T }\) distribution
Leading lepton \(p_{T }\) distribution
Monte Carlo Closure Test
Closure Test within the trilepton muon Validation Region
Monte Carlo Closure Test


Third lepton \(p_{T }\) distribution
Subleading jet \(p_{T }\) distribution
Closure Test within the trilepton muon Validation Region
Data Closure Test

- For several distributions, data is quite well modeled by the sum of the data-drivenly estimated non-prompt bkg and the prompt and charge flip contribution estimated by MC simulations.
\(m_{lll}\) distribution

Closure Test within the trilepton muon Validation Region


\(E_{T}^{miss}\) distribution
Leading lepton \(p_{T}\)
Data Closure Test
Closure Test within the trilepton muon Validation Region


Leading jet \(p_{T}\)
Subleading jet \(p_{T}\)
Closure Test within the trilepton muon Validation Region


\(m_{jj}\) distribution
Subleading lepton \(p_{T}\)
Closure Test within the trilepton muon Validation Region

Third lepton \(p_{T}\)
Conclusion
- It was found a significant understimation of \(N_{A}^{fake}\) when using the Matrix Method in the Monte Carlo Closure Test. However, this is still acceptable and within the expected.
- The Data Closure Test validate the Matrix Method and the dilepton Control Region employed for this study.
- The closure tests confirms that the data-driven method described and the dilepton Control Region are suitable for the estimation of the non-prompt muon background within the signal region.
Next steps (muon VR)
- Are we done yet?
Trilepton electron Validation Region
Definition

In order to get a composition of non-prompt electrons as close as possible to the composition of the Signal Region the following selection flow is employed:
Next steps: Change the \(p_{T}\) electron cut to the begining, change to \(m_{lll} < 300\)GeV
Trilepton electron Validation Region

Composition of non-prompt electrons in the Signal Region
Non-prompt Ana electrons in the Signal Region come mainly from Light Flavor Decay associated to \(W+jets\) and also there is a significant contribution of B Hadron Decay from \(t\bar{t}\).
Trilepton electron Validation Region
Evaluation: Composition for all events > Ana and Non-Ana


Signal Region
Electron VR
Trilepton electron Validation Region


Evaluation: Composition for Ana events only

Trilepton electron Validation Region
Evaluation: Statistics (here only mc16a)

Electron \(p_{T}\) cut
\(E_{T}^{miss}\) distribution for Ana

\(E_{T}^{miss}\) distribution for Non-Ana
Trilepton electron Validation Region
Evaluation: Statistics

Trilepton invariant mass cut

Trilepton electron Validation Region
Evaluation: Statistics

Two muon invariant mass cut
Trilepton electron Validation Region
Evaluation: Statistics

Charge muon cut
Trilepton electron Validation Region
Evaluation: Statistics
Two muons Ana cut

Trilepton electron Validation Region
Evaluation: Statistics
Lepton flavor cut

Trilepton electron Validation Region
Evaluation: Statistics
Two Ana leptons cut

Trilepton electron Validation Region
Evaluation: Statistics
Three leptons cut

Back up
More distributions within current trilepton electron Validation Region



Electron \(p_{T}\) cut
Back up
More distributions within current trilepton electron Validation Region



Trilepton invariant mass cut
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More distributions within current trilepton electron Validation Region



Two muon invariant mass cut
Back up
More distributions within current trilepton electron Validation Region



Charge muon cut
Back up
More distributions within current trilepton electron Validation Region



Two muons Ana cut
Back up
More distributions within current trilepton electron Validation Region



Lepton flavor cut
Back up
More distributions within current trilepton electron Validation Region



Two Ana leptons cut
Back up
More distributions within current trilepton electron Validation Region



Three leptons cut
Back up
More distributions within current trilepton electron Validation Region



Electron \(p_{T}\) cut
Back up
More distributions within current trilepton electron Validation Region



Trilepton invariant mass cut
Back up
More distributions within current trilepton electron Validation Region



Two muon invariant mass cut
Back up
More distributions within current trilepton electron Validation Region



Charge muon cut
Back up
More distributions within current trilepton electron Validation Region



Two muons Ana cut
Back up
More distributions within current trilepton electron Validation Region



Lepton flavor cut
Back up
More distributions within current trilepton electron Validation Region



Two Ana leptons cut
Back up
More distributions within current trilepton electron Validation Region



Three leptons cut
Back up
More distributions within current trilepton electron Validation Region


Electron \(p_{T}\) cut
Back up
More distributions within current trilepton electron Validation Region


Trilepton invariant mass cut
Back up
More distributions within current trilepton electron Validation Region


Two muon invariant mass cut
Back up
More distributions within current trilepton electron Validation Region


Charge muon cut
Back up
More distributions within current trilepton electron Validation Region


Two muons Ana cut
Back up
More distributions within current trilepton electron Validation Region


Lepton flavor cut
Back up
More distributions within current trilepton electron Validation Region


Two Ana leptons cut
Back up
More distributions within current trilepton electron Validation Region


Three leptons cut
Back up
More distributions within current trilepton electron Validation Region
Electron \(p_{T}\) cut



Back up
More distributions within current trilepton electron Validation Region
Trilepton invariant mass cut



Back up
More distributions within current trilepton electron Validation Region
Two muon invariant mass cut



Back up
More distributions within current trilepton electron Validation Region
Charge muon cut



Back up
More distributions within current trilepton electron Validation Region
Two muons Ana cut



Back up
More distributions within current trilepton electron Validation Region
Lepton flavor cut



Back up
More distributions within current trilepton electron Validation Region
Two Ana leptons cut



Back up
More distributions within current trilepton electron Validation Region
Three leptons cut



Back up
More distributions within current trilepton electron Validation Region
Electron \(p_{T}\) cut



Back up
More distributions within current trilepton electron Validation Region
Trilepton invariant mass cut



Back up
More distributions within current trilepton electron Validation Region
Two muon invariant mass cut



Back up
More distributions within current trilepton electron Validation Region
Charge muon cut



Back up
More distributions within current trilepton electron Validation Region
Two muons Ana cut



Back up
More distributions within current trilepton electron Validation Region
Lepton flavor cut



Back up
More distributions within current trilepton electron Validation Region
Two Ana leptons cut



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More distributions within current trilepton electron Validation Region
Three leptons cut



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