Randall-Sundrum模型提供一個合理的方式解釋新物理和Higgs Boson重量的超大修正，並且預測了一個最輕自旋數為3/2的Kaluza-Klein粒子。我們利用LHC的能量尺度找尋經由pair-production產生的帶有自旋3/2的右旋頂垮克。本篇論文在19.6 fb^(-1)的質子質子對撞數據且總碰撞能量為8 TeV下，利用χ^2 sorting的方法重建t* 粒子, 此方法包含了找mass resolution的值和neutrino在z方向動量正確率最高的解。我們可以利用 χ^2和 Likelihood fitter 去估計data裡那些從標準模型來的主要背景干擾數量。我們利用質心能量在7TeV且數量為2.4到35.9pb^(-1)的單光子數據，來測試這兩種估計方法的正確性。

Randall-Sundrum model provides a reasonable way to explain the hierarchy problem and it predicts the lightest spin-3/2 Kaluza-Klein particle. We are searching for the singlet top of spin-3/2 through pair-production that may be produced at LHC energies. This thesis presents the χ^2 sorting method, which includes studies of mass resolution and the probability of getting correct solution of neutrino pz to reconstruct spin-3/2 particle at √s=8 TeV using 19.6 fb^(-1)of proton-proton collision data collected by CMS. In order to estimate dominated background in data, we also provide two methods, χ^2 fitter and Likelihood fitter. These methods use inclusive photon at √s=7 TeV and the data sample corresponds from 2.4 to 35.9 pb^(-1).

Reference
[1] CPEP Contemporary Physics Education Project.
[2] T. Kaluza, Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) K1, 966 (1921); O. Klein, Z. Phys. 37, 895 (1926).
[3] J.Polchinski, String Theroy, Cambridge, Vo1. I, chap. 8: Toroidal com-pactification and T-duality (1995).
[4] L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999) [arXiv: hep-ph/9905221]; Phys. Rev. Lett. 83, 4690 (1999) [arXiv: hep-th/9906064].
[5] T. Gherghetta and A. Pomarol, Nucl. Phys. B 586, 141 (2000) [arXiv: hep-ph/0003129].
[6] Copyright 2005 The New York Times Company.
[7] S. B. Giddings, S. Kachru and J. Polchinski, Phys. Rev. D 66 (2002) 106006 [arXiv: hep-th/0105097].
[8] Physics searches at the LHC. arXiv: 0912.3259 [hep-ph] 4 Sep 2010.
[9] Maxime Gabella. The Randall-Sundrum Model. June 2006 IPPC, EPFL.
[10] Babiker Hassanain, John March-Russell and J. G. Rosa, “On the possibility of light string resonances at the LHC and Tevatron from Randall-Sundrum throats”[arXiv: 0904.4108v2]
[11] P. W. Higgs, “Broken symmetries and the masses of gauge bosons,” Phys. Rev. Lett., vol. 13, pp. 508-509, Oct 1964. 1.1
[12] P. Higgs, “Broken symmetries, massless particles and gauge fields,” Physics Letters, vol. 12, no. 2, pp. 132-133, 1964. 1.1
[13] CERN, “The CERN accelerator complex.” http://public.web.cern.ch/public/en/research/AccelComplex-en.html,2012.
[14] The CMS Collaboration, “The CMS experiment at the CERN LHC,” Journal of Instrumentation, vol. 3, 2008. 2.2
[15] G. Bayatian et al., “CMS Physics Technical Design Report Volume I: Detector Performance and Software,” Technical Design Report CMS, 2006.
[16] The CMS Collaboration, The CMS tracker system project: Technical Design Report. Technical Design Report CMS, Geneva: CERN, 1997. 2.2.3
[17] The CMS Collaboration, The CMS tracker: addendum to the Technical Design Report. Technical Design Report CMS, Geneva: CERN, 2000. 2.2.3
[18] The CMS ECAL: Technical Design Report. Technical Design Report, Geneva: CERN, December 1997. 2.2.4
[19] P.Bloch, R. Brown, P.Lecoq, and H. Rykaczewski, Changes to CMS ECAL electronics: addendum to the Technical Design Report. Techical Design Report CMS, Geneva: CERN, 2002. 2.2.4
[20] CMS Collaboration, CERN/LHCC 20-016(2006), CMS TDR 8.1
[21] The CMS Collaboration, The CMS hadron calorimeter project: Technical Design Report. Technical Design Report CMS, Geneva: CERN, 1997. 2.2.5
[22] J. Damgov and S. Kunori, private commuication
[23] Efe Yazgan, Thesis, Department of Physics, Middle East Technical University (2007)
[24] The CMS Collaboration, The CMS muon project: Technical Design Report. Technical Design Report CMS, Geneva: CERN, 1997 2.2.6
[25] C. D. Jonew et al., “The new CMS data model and framework,” in CHEP’06 Conference Proceedings. 2006.
[26] T. Sjostrand, S. Mrenna and P. Skands, “PYTHIA 6.4 Physics and Manual,” JHEP 0605 (2006).
[27] S. Agostinelli et al., “Geant4- A Simulation Toolkit,” Nuclear Instruments and Methods A 506 (2003).
[28] S. Agostinelli et al., GEANT4: A simulation toolkit, Instrum. and Methods, A506:250-303, 2003.
[29] S. Abdullin et al., “The Fast Simulation of the CMS Detector at LHC,” CMS Conference Report 297 (2010).
[30] E. Meschi et al., Electron Reconstruction in the CMS Electronmagnetic. Calorimeter, CMS Note 2001/034.
[31] P. Fayet, Nucl. Phys. B 90, 104 (1975).
[32] N. Marinelli. CMS Note, 2006/005, 2006/
[33] Marinelli N., Kolberg T., Jessop C., Ruchti, R. CMS Analysis Note, 2008/102, 2008.
[34] The CMS Collaboration. CMS Physics Analysis Summary, 2010/005, 2010.
[35] W. Adam, R. Fruhwirth, A. Strandlie, T. Todorov, Reconstruction of electrons with the Gaussian-sum filter in the CMS tracker at the LHC, J. Phys. G: Nucl. Part. Phys. 31 (2005) N9-N20.
[36] C. Charlot, C. Rovelli, Y. Sirois, Reconstruction of Electron Tracks Using Gaussian Sum Filter in CMS, CMS Analysis Note AN-2005-011 (2006).
[37] M. Cacciari, G. P. Salam, and G. Soyez, “The Anti-k(t) jet clustering algorithm,” JHEP 0804 (2008) 063, arXiv: 0802.1189 [hep-ph].
[38] J. Alwall, P. Demin, S. de Visscher, R. Frederix, M. Herquet, et al.,” MadGraph/MadEvent v4: The New Web Generation,” JHEP 0709 (2007) 028, arXiv: 0706.2334 [hep-ph].
[39] S.Frixion, P. Nason, and G. Ridolfi, “A Positive-weight next-to-leading-order Monter Carlo for heavy flavor hadroproduction,” JHEP 0709 (2007) 126.
[40] S. Alioli, P. Nason, C. Oleari, and E. Re, “NLO single-top production matched with shower in POWHEG: s- and t-channel contributions,” JHEP 0909 (2009) 111, arXiv: 0907.4076 [hep-ph].
[41] E. Re, “Single-top Wt-channel production matched with parton showers using the POWHEG method,” Eur.Phys.J. C71 (2011) 1547, arXiv: 1009. 2450 [hep-ph].
[42] R. and Fruhwirth. Application of kalman _ltering to track and vertex _tting. http://www.sciencedirect.com/science/article/pii/0168900287908874, 1987.