Recent results of the searches for Supersymmetry in final states with one or two leptons at CMS are presented. Many Supersymmetry scenarios, including the Constrained Minimal Supersymmetric extension of the Standard Model (CMSSM), predict a substantial amount of events containing leptons, while the largest fraction of Standard Model background events -which are QCD interactions -gets strongly reduced by requiring isolated leptons. The analyzed data was taken in 2011 and corresponds to an integrated luminosity of approximately L = 1 fb −1 . The center-of-mass energy of the pp collisions was √ s = 7 TeV.

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Generally, when imaginary part of an optical potential is non-symmetric the reflectivity, R(E), shows left/right handedness, further if it is not negativedefinite the reflection and transmission, T (E), coefficients become anomalous in some energy intervals and absorption is indefinite (±). We find that the complex PT-symmetric potentials could be exceptional in this regard. They may act effectively like an absorptive potential for any incident energy provided the particle enters from the preferred (absorptive) side.When a potential is real the probability of quantal transmission, T (E), and reflection, R(E), are invariant with respect to the side of incidence of the particle. Recently, it has been proved [1] that when the potential is complex and non-symmetric (in space), the value of reflectivity depends on whether the particle is incident on the potential from left or right. Thus when both the symmetries : time-reversal and parity are broken the reflectivity shows handedness.For the scattering from a complex potential, we have the condition of reciprocity satisfiedand unitarity is replaced by pseudo-unitarityHere A denotes the probability of absorption and subscripts, l and r, stand for left and right.

We show that the complex PT-Symmetric potential, V (x) = −V 1 sech 2 x + iV 2 sechx tanh x,, entails a single zero-width resonance (spectral singularity) when V 1 + |V 2 | = 4n 2 + 4n + 3 4 (n = 1, 2, 3.., |V 2 | > |V 1 | + sgn(V 1 ) 4) and the positive resonant energy is given as E * = 1 4 [|V 2 | − (1/4 + V 1 )].