Signal Injection Test: What, How, & Expectations

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SUMMARY

A signal injection test is a method used in particle physics to determine the presence of a signal, such as a Higgs boson, by simulating expected outcomes without the signal and then comparing them to outcomes with the signal included. This technique allows researchers to quantify differences in measurements and assess statistical significance, particularly in relation to the null hypothesis. If no difference is observed, upper limits on signal strength can be established, typically at 90% or 95% confidence levels, leading to colorful exclusion plots that illustrate the findings. The discussion highlights the importance of understanding these tests for accurate interpretation of experimental data.

PREREQUISITES
  • Understanding of particle physics concepts, particularly the Higgs boson.
  • Familiarity with statistical significance and null hypothesis testing.
  • Knowledge of simulation techniques in experimental physics.
  • Experience with interpreting exclusion plots in high-energy physics research.
NEXT STEPS
  • Research "Higgs boson signal injection techniques" for deeper insights into the methodology.
  • Study "statistical significance in particle physics" to understand confidence levels and hypothesis testing.
  • Explore "LHC exclusion plots" to learn how results are visually represented in particle physics.
  • Investigate "simulation methods in experimental physics" to grasp how simulations are constructed and analyzed.
USEFUL FOR

Particle physicists, researchers involved in high-energy physics experiments, and students studying statistical methods in experimental science will benefit from this discussion.

Alkass
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hi

I would like to ask, what is all about a "signal injection test" ? How is it done and what one expects to see ? I ve read about it in some Higgs study/plots CERN has published

thanks

Alex
 
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You can simulate what you expect without a Higgs, and then you can add a Higgs signal and see how the measurements change - is it possible to see the difference? As far as I know, "signal injection" is just that.
The same is possible for all other particle searches, of course.
 
Ok, I get it - So what happens if you see the difference or not and how you quantify it ? Does it change the statistical significance of the null hypothesis in the case you can "see" a differnece? Or one should think about it, like a "biased" search, thus you should consider an H1 hypothesis in such a case instead of a null one ? At the end, why one would want to do such a test ?

thanks
-a
 
So what happens if you see the difference or not and how you quantify it ?
If you do not see a difference between data and "simulation without signal", you can set an upper limit on the signal strength. If a simulated signal with some specific signal strength would lead to a significant deviation (usually: 10% or 5% probability that a downwards fluctuation gives fewer events), this signal strength is excluded at 90% (95%) confidence level.

That leads to those colorful plots like this one.

Consider a point at 150 GeV (just at the left edge of "LHC excluded"), for example, it is close to 1, and 1 is exactly the Standard Model signal strength. The point has the message "if there is a Standard Model Higgs at 150 GeV, we should have seen more events with a probability of 95%".

Actually, this is not true. Following my description, every point would have a probability of 5% to exclude everything, even if there is a Higgs and the data is not sufficient to see it yet. Therefore, the method is modified a bit to include the sensitivity of the search, but I think this is an irrelevant detail here.[/size]
 

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