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 Super-Symmetry in High-Energy-Physics is of enormous interest for the past few decades. Continuous searches were conducted at LHC regarding Super-Symmetry for prompt, non-prompt, R-parity conserving and violating generation and decays. The limits obtained from these analysis to detect the signatures of Super-Symmetric-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, Super-Symmetry might have been in a disguised state in lower-mass-scales resulting from challenging massspectra and mixed-modes of decays. The proposed chaosbased, novel method of Two-Dimensional-Multifractal-Detrended-Fluctuation-Analysis((2D)MF-DFA) [1], is extended using rectangular-scale. The (2D)experimental data-surfaces are constructed using the componentspace(in the X, Y, Z co-ordinates) taken out from the 4-momenta of final-state-signatures of the produced dimuons from the selected events. Two publicly-available datasets are used here. First is the data from Mul-tiJet primary pp collision-data from RunB(2010) at 7-TeV [2], used in analysis of the Super-Symmetry [3,4] with Razor-variables. Second is the data from primarydataset of pp collisions at 7-TeV from RunA(2011) of CMS-collaboration [5]. The (2D)Multifractal behaviour of particle-production-process is studied in terms of symmetry-scaling, the inherent scale-freeness and multifractality. The analysis outcome for Super-Symmetric-data is compared with the same for the non-Super-Symmetric-data in terms of the generalized-Hurstexponent and (2D)Multifractal-spectrum-width. Unusual and significantly different scaling-behaviour and longrange-correlation is observed between the final-statesignatures of the di-lepton production-process of the first and second datasets. This difference may indicate a possible signature of Super-Symmetry which may be missed in the conventional method of analysing the invariantmass/transverse-momentum-spectrum.