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Search for Low Mass Strings at CMS Andy Yen Mentor: Harvey Newman Co-Mentors: Marat Gataullin, Vladimir Litvine SURF Seminar October 17, 2009 The Standard Model of Particle Physics The Standard Model of particle physics has been extremely successful in describing interactions between elementary particles There are four known force carriers and twelve known quarks and leptons. However, the model is far from complete! There is no theory for quantum gravity. Andy Yen 2 Superstring Theory There are plenty of reasons to believe in physics beyond the Standard Model. One possible alternate model is Superstring theory. Superstring theory incorporates quantum gravity by utilizing extra degrees of freedom. Extension into large extra dimensions also solves the hierarchy problem. Recently demonstrated by theorists that some superstring scenarios can be detected at the LHC. String mass scale (Ms) < 2 TeV Andy Yen 3 The Large Hadron Collider Andy Yen 4 The Large Hadron Collider Luminosity is proportional to the rate at which collisions occur. The LHC is scheduled to restart operation in late 2009. Andy Yen 5 The Compact Muon Solenoid Andy Yen 6 A New Definition of “Compact” Andy Yen 7 Detecting superstrings at LHC Superstrings can lead to the following non-SM process: gg→gγ Extra contribution to the SM photon+jet. Ms ~ 1 TeV, 100 events for 200pb-1 Andy Yen 8 Backgrounds Standard Model photon+jet is the dominant background. There is also a significant background from QCD Dijets Sometimes, most of the jet energy is in an isolated neutral meson. These neutral hadrons decay into a photon pair which can appear in the ECAL as a single energetic object. This can lead to jets being misidentified as photons. Misidentified jets can be rejected with high efficiency, but the cross section is large. Signal and backgrounds simulated with Monte Carlo methods. Andy Yen 9 Event Selection Primary objective is to reject QCD jet fakes. Cut based selection on a series of kinematic variables is used. R9 = S9/S25 H/E = HCAL Energy ECAL Energy Andy Yen 10 Event Reconstruction Photon reconstruction is close to 98% efficient with 0.5% energy resolution. Jets are not as well reconstructed Poor HCAL granularity Intrinsic fluctuations in hadronic showers Resolution of reconstructed invariant mass is dominated by jet resolution. Andy Yen 11 Reconstruction Energy Resolution sisCone algorithm (“seedless infrared safe cone”) Energy response = Reco Energy/“True” Energy Peak location: 1.00 Sigma: 0.5% Peak location: 0.94 Sigma: 8.7% Photons Jets Andy Yen 12 Collinear Splitting Even in the sisCone Jet, there is still a tail at low values. Approximately 10% of reconstructed Jets have 2nd Jet within dR<1 Standard sisCone algorithm is optimized for low energy jets. Andy Yen 13 Collinear correction Take the vector sum of the momentum of the two jets Use Pt-weighted average of the direction of the two jets. Improvements in position and energy reconstruction! Andy Yen 14 Invariant Mass Reconstruction The invariant mass of the photon+jet can be calculated from: 2 M e* E p Luminosity = 100 pb-1 2 Selection efficiency of 68.10% was attained for the string signal. Reconstructed mass resolution of approximately 6% is achieved. Andy Yen 15 Estimating Signal Significance Significance is evaluated based on the number of observed events compared to the number of expected background events in the region of the peak. Random fluctuations in the background can lead to “accidental” peak-like structures in the spectrum. Five sigma significance - the probability that a claimed signal is caused by a local fluctuation of the background is 2.9·10-7 (very, very improbable!) A log-likelihood approach is used. Finally, the significance is given by Andy Yen 16 Results 100 pb-1 of integrated luminosity will lead to a discovery with a significance of 9.84. A 5 sigma discovery is possible with as little as 25.8 pb-1. Signal+BG and BG only distributions for 1000pb-1 of integrated luminosity and center of mass energy of 10 TeV. Andy Yen 17 Conclusion These results represent the string theory searches done at the LHC. The results show that CMS is capable of making a discovery during the early running stages. LHC is currently scheduled to restart in 2 months. 100 pb-1 of integrated luminosity might be possible within the first year. Andy Yen 18 Acknowledgements Professor Harvey Newman Dr. Marat Gataullin and Vladimir Litvine Dr. Arunava Roy Professor Haim Goldberg Caltech SFP and Rose Hills Foundation Andy Yen 19 The End