Analysis of Prospective Super-Symmetry Inherent in the $pp$ Collision Data at $7$ TeV from CMS Collaboration Using Novel Two-Dimensional Multifractal-Detrended Fluctuation Analysis Method with Rectangular Scale

Abstract

Search for SUSY in HEP is of enormous interest for the past few decades. Continuous searches were conducted at LHC regarding SUSY for prompt, non-prompt, R-parity conserving and violating generation and decays. The limits obtained from these analysis to detect the signatures of SUSY particles, revealed greater possibilities of such experiments in collider. These signatures are usually derived assuming a bit optimistic conditions of the decaying process of s-particles to final-states. Moreover, SUSY might have been in a disguised state in lower-mass scales resulting from challenging mass-spectra and mixed-modes of decays. The proposed chaos-based, novel method of 2D-Multifractal-Detrended-Fluctuation-Analysis(2D-MF-DFA), is extended using rectangular scale. The experimental data-surfaces are constructed using the component-space(in the X,Y,Z co-ordinates) taken out from the 4-momenta of final-state-signatures of the produced di-muons from the selected events. Two publicly-available datasets are used here. First is the data from MultiJet primary pp collision-data from RunB(2010) at 7TeV, used in analysis of the SUSY with Razor-variables. Second is the data from primary dataset of pp collisions at 7TeV from RunA(2011) of CMS-collaboration. The 2D-MF behaviour of particle production process is studied in terms of symmetry-scaling, the inherent scale-freeness and multifractality. The analysis outcome for SUSY data is compared with the same for the non-SUSY data in terms of the generalized Hurst-exponent and 2D-MF spectrum width. Significantly different scaling behaviour and long-range correlation is observed between the final-state-signatures of the di-lepton production-process of the first and second datasets. This difference may indicate a possible signature of SUSY which may be missed in the conventional method of analysing the invariant-mass/transverse-momentum-spectrum.