Keywords
Standard model renormalization
Acausality
CMS Open Data
Lee Wick standard model
wrong displaced vertex
Finite theories
How to Cite
Abstract
In this work, we describe the feasibility to reconstruct acausal vertices that could arise from Lee Wick standard model processes. Using open data from the CMS experiment, we identify measurable wrong displaced vertices associated to acausal-like decays predicted by the Lee Wick model. The signal considered is the pair production of Lee Wick electrons due to its favorable cross-section. The study was carried out for mass values of 200, 300, 400, and 500 GeV for the Lee Wick electron, with the 200 GeV sample being the one closest to satisfying detector resolution limitations. The expected final state consists of one electron and a pair of jets emerging from a wrong displaced vertex for each of the Lee Wick electrons. We detail the method used to reconstruct wrong displaced vertices with the given topology. We also define a new quantity, the parallelity, to better distinguish wrong displaced vertices. We test the possibility to identify acausal decays by comparing the signal, simulated background processes and collisions data from CMS Run 1. An asymmetry in the parallelity distribution suggests the capability of distinguishing acausal decays if ever present.
References
Evans, L., & Bryant, P. (2008). LHC machine. Journal of Instrumentation, 3(08), S08001–S08001. doi: https://doi.org/10.1088/1748-0221/3/08/s08001
Quigg, C. (2004). Nature’s Greatest Puzzles. eConf, C040802, L001. arXiv: https://arxiv.org/abs/hep-ph/0502070
Grinstein, B. [Benjamin], O’Connell, D., & Wise, M. B. (2008). The Lee-Wick standard model. Phys.Rev. D, 77, 025012. doi: https://doi.org/10.1103/PhysRevD.77.025012. arXiv: https://arxiv.org/abs/0704.1845 [hep-ph]
Lee, T. D., & Wick, G. C. (1970). Finite theory of quantum electrodynamics. Phys. Rev. D, 2, 1033–1048. doi: https://doi.org/10.1103/PhysRevD.2.1033
Lee, T. D., & Wick, G. C. (1969). Negative Metric and the Unitarity of the S Matrix. Nucl. Phys. B, 9, 209–243. doi: https://doi.org/10.1016/0550-3213(69)90098-4
Grinstein, B. [Benjamin], O’Connell, D., & Wise, M. B. (2009). Causality as an emergent macroscopic phenomenon: The lee-wicko(n)model. Physical Review D, 79(10). doi: https://doi.org/10.1103/physrevd.79.105019
Alvarez, E., Da Rold, L., Schat, C., & Szynkman, A. (2009). Vertex Displacements for Acausal Particles: Testing the Lee-Wick Standard Model at the LHC. JHEP, 10, 023. doi: https://doi.org/10.1088/1126-6708/2009/10/023. arXiv: https://arxiv.org/abs/0908.2446 [hep-ph]
Chatrchyan, S. [S.] et al. (2008). The CMS Experiment at the CERN LHC. JINST, 3, S08004. doi: https://doi.org/10.1088/1748-0221/3/08/S08004
Wolfram Research Inc. (n.d.). Mathematica, Version 12.3.1. Champaign, IL, 2021. Retrieved from https://www.wolfram.com/mathematica
Alloul, A., Christensen, N. D., Degrande, C., Duhr, C., & Fuks, B. (2014). Feynrules 2.0 — a complete toolbox for tree-level phenomenology. Computer Physics Communications, 185(8), 2250– 2300. doi: https://doi.org/10.1016/j.cpc.2014.04.012
Alwall, J., Herquet, M., Maltoni, F., Mattelaer, O., & Stelzer, T. (2011). Madgraph 5: Going beyond. Journal of High Energy Physics, 2011(6). doi: https://doi.org/10.1007/jhep06(2011)128
Sjöstrand, T., Ask, S., Christiansen, J. R., Corke, R., Desai, N., Ilten, P., . . . Skands, P. Z. (2015). An introduction to pythia 8.2. Computer Physics Communications, 191, 159–177. doi: https://doi.org/10.1016/j.cpc.2015.01.024
CMS-collaboration. (2016). CMS Software Version 5 3 X (CMSSW 5 3 X) (Version 2.3.X). doi: https://doi.org/10.7483/OPENDATA.CMS.WYJG.FYK9
Edgar Carrera, E. U., Cesar Montero. (n.d.). Examples for event generation with 2012 cmssw machinery. Available at https://opendata.cern.ch/record/12052 (2022).
CMS-collaboration. (2017a). Doublephoton primary dataset in aod format from run of 2012. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.CEPG.EXLP
CMS-collaboration. (2017b). Doublephoton primary dataset in aod format from run of 2012. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.KT69.ANB8
CMS-collaboration. (2017c). Simulated dataset dyjetstoll m-50 tunez2star 8tev-madgraph-tarball in aod- sim format for 2012 collision data. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.ARKO.6NV3
CMS-collaboration. (2017d). Simulated dataset ttbar 8tev-madspin amcatnlo-herwig in aodsim format for 2012 collision data. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.XH95.JNSE
CMS-collaboration. (2017e). Simulated dataset w1jetstolnu tunez2star 8tev-madgraph in aodsim format for 2012 collision data. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.REHM.JKUH
CMS-collaboration. (2017f ). Simulated dataset w2jetstolnu tunez2star 8tev-madgraph in aodsim format for 2012 collision data. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.DELK.2V7R
CMS-collaboration. (2017g). Simulated dataset w3jetstolnu tunez2star 8tev-madgraph in aodsim format for 2012 collision data. Open Data Portal. doi: https://doi.org/10.7483/OPENDATA.CMS.HHCJ.TVXH
Chatrchyan, S. [Serguei] et al. (2013). Search in Leptonic Channels for Heavy Resonances Decaying to Long-Lived Neutral Particles. JHEP, 02, 085. doi: https://doi.org/10.1007/JHEP02(2013)085. arXiv: https://arxiv.org/abs/1211.2472 [hep-ex]
CMS-collaboration. (2012). Evidence for a new state decaying into two photons in the search for the standard model Higgs boson in pp collisions.
Khachatryan, V. et al. (2017). Sea√rch for R-parity violating supersymmetry with displaced vertices in proton-proton collisions at s = 8 TeV. Phys. Rev. D, 95(1), 012009. doi: https://doi.org/10.1103/PhysRevD.95.012009. arXiv: https://arxiv.org/abs/1610.05133 [hep-ex]
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright (c) 2023 Jonathan Joel Sánchez Jácome