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AI in HEP: Can “Evolvable Discriminate Function” discern Neutral Pions and Higgs from background?. James Cunha Werner Christmas Meeting 2006 – University of Manchester. Neutral Pion Reconstruction.
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AI in HEP: Can “Evolvable Discriminate Function” discern Neutral Pions and Higgs from background? James Cunha Werner Christmas Meeting 2006 – University of Manchester
Neutral Pion Reconstruction Neutral Pions decays into 2 Gammas (in the same way Higgs does!), detected by BaBar’s Electromagnetic Calorimeter 2 gammas from background can reconstruct a neutral pion just by chance! How to DISCRIMINATE background from real neutral pions?
Previous papers using Genetic Programming for event selection in HEP: • Cranmer,K.; Bowman,R.S.; "PhysicsGP: A genetic programming approach to event selection" Computer Physics Communications 167 (2005) 165-176. • Focus Collaboration, "Application of genetic programming to high energy physics event selection" Nuclear instruments and methods in physics research A 551 (2005) 504-527. • Focus Collaboration; "Search for L+c -> pK+p- and D+s -> K+K+p- using genetic programming event selection" Physics letters B 624 (2005) 166-172 • Mjahed, M.; "Search for Higgs boson at LHC by using genetic algorithms" Submitted to Nuclear Instruments and Methods in Physics Research. • My approach is original because…it uses genetic programming to obtain a discriminate function to discern between neutral pions and background.
Discriminate Functions • Mathematical model obtained with GP maps the variables hyperspace to a real value through the discriminator function, an algebraic function of kinematics variables. • Applying the discriminator to a given pair of gammas: • if the discriminate value is bigger than zero, the pair of gammas is deemed to come from pion decay. • Otherwise, the pair is deemed to come from another (background) source.
How Genetic Programming works… • AI algorithm that mimics evolution: • Initial random population. • Each individual is one problem solution. Its chromosome codes the solution using functions and variables. • Chromosome represents a mathematical model. • Fitness evaluates solution’s economic function. • GP is underlined by Markov chain theory. For more information see http://www.geocities.com/jamwer2002/public.html
Methodology 1. Obtaining Discriminate Function (DF): Discriminate function Select Real / background events MC data Training data GP 2. Test DF accuracy: Test data 3. Selecting events for superposition: MC data Raw data
Criteria and Events Selection in this study I will focus in neutral pion decaying from Rho(770) resonance.
Training Genetic Programming (GP) to obtain NPDF • Monte Carlo (MC) generators integrates particle decays models with detector’s system transfer function. • MC events contain all information from each track particle and gamma radiation, which allows select high purity training and test datasets (96%+). • Events with real neutral pion were selected and marked as “1”. • Events without real pions into MC truth and invariant mass reconstruction in the same region of real neutral pions where also selected and marked as “0”.
Energy cuts cases • all gammas without energy cut (60,000 real and background records for training, and 60,000 real and 44527 background for test), • more energetic than 30 MeV electronics’ noise threshold (32,000 real and background records for training and test), • more energetic than 50 MeV (15,000 real and background records for training and test), • more energetic than 30MeV, lateral moment between 0.0 and 0.8, and have hit more than one crystal in the electromagnetic calorimeter - the conventional cut for neutral pion(16,000 real and background records for training and test).
NPDF Final results for several energy cuts -α: Sensitivity or efficiency. -β: specificity or purity. -γ: accuracy.
Superposition of all NPDF NPDF obtained from different selection conditions produce the same energy distributions.
Discriminate functions obtained by GP • All gammas: • 30 MeV cut: • 50 MeV cut: • Conventional Cuts:
Further development in LHC: Higgs to +0j, +1j and +2j H+0j H+1j H+2j L = 10 fb-1 Signal: VBF Signal: gg Fusion EW+DPS ggjj QCD ggjj gjjj+jjjj ATLFAST/DC1
Conclusion Genetic programming approach obtains neutral pion discriminate function to discern between background and real neutral pion particles with an average 80% accuracy, 87% sensitivity (efficiency), and 84% specificity (purity). Further development: understand what NPDF model means. What is its relationship with physics laws and properties. Merry Christmas and Happy New Year!!!