Study of the double parton scattering via W + 2-jet process using the CMS detector at LHC

Two hard parton-parton interactions in a single proton-proton (pp) collision lead to double parton scattering (DPS). We investigate DPS in pp collisions at $\sqrt{s}$ = 7 TeV where the final state includes a W boson, which decays into a muon and a neutrino, and two jets. Various observables sensitive to double parton scattering are investigated after being corrected for detector effects and selection efficiencies. The fraction of W+ 2-jet events due to double parton scattering as well as the effective transverse area ($\sigma_{\rm eff}$) of the hard partonic interaction in the pp collision has been measured with the CMS experiment, using data collected at 7 TeV of center-of-mas energy corresponding to an integrated luminosity of 5 fb$^{-1}$. Studies for the invariance of $\sigma_{\rm eff}$ with centre-of-mass energy, scale and different processes will also be presented in this talk, which are performed using the simulated events from Monte Carlo Event generator PYTHIA8.