Invariant Mass Distribution of Jet Pairs Produced in Association with a W boson in ppbar Collisions at sqrt(s) = 1.96 TeV

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We use a cylindrical coordinate system with its origin in the center of the detector, where θ \theta and ϕ \phi are the polar and azimuthal angles, respectively, and pseudo-rapidity is η = − ln \eta=-\rm ln tan ⁡ ( θ / 2 ) \rm tan(\theta/2) . The transverse energy E T E_{T} (momentum p T p_{T} ) is defined as E ​ sin ⁡ θ E\sin\theta ( p ​ sin ⁡ θ p\sin\theta ). The missing E T E_{T} ( ​ E → T \raisebox{1.29167pt}{$\not\!$}{\vec{E}}_{T}

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Lepton isolation ( I ​ s ​ o Iso ) is defined as ∑ E T E T \frac{\sum E_{T}}{E_{T}} , ∑ E T p T \frac{\sum E_{T}}{p_{T}} for electrons and muons respectively, where ∑ E T \sum E_{T} is the calorimetric energy in a cone 0.4 around the lepton

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The reported KS probability corresponds to the KS test between data and background distributions. It does not account for the fact that the background distributions are constrained by fits to data. The reported values are thus an upper limit on KS probability

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M ( lepton , ν , j ​ j ) M_{({\rm lepton},\nu,jj)} denotes the total invariant mass of the lepton, neutrino and dijet system. We reconstruct the longitudinal component of the neutrino momentum by imposing a W W mass of 80.398 GeV/ c 2 c^{2} . We consider both real solutions for the p z p_{z} of the neutrino and we discard complex solutions of the W W mass equation

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