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The first observation of the production of a $W$ boson with a single charm quark ($c$) jet in $p\bar{p}$ collisions at $\sqrt{s}=1.96 {\rm TeV}$ is reported.
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We use a ( z , ϕ , θ z,\phi,\theta ) coordinate system with the z z axis in the direction of the proton beam, and ϕ \phi , θ \theta the azimuthal and polar angles, respectively. Transverse energy and momentum are E T ≡ E sin θ E_{T}\equiv E\sin\theta and p T ≡ p sin θ p_{T}\equiv p\sin\theta , respectively. The missing transverse energy is E̸ T ≡ | − ∑ i E T i n ^ i | \not{E}_{T}\equiv|-\sum_{i}E_{T}^{i}\hat{n}_{i}| , where E T i E_{T}^{i} is the magnitude of the transverse energy contained in each calorimeter tower i i in the region | η | < 3.6 |\eta|<3.6 , and n ^ i \hat{n}_{i} is the direction unit vector of the tower in the plane transverse to the beam direction
Cited in the paper.
The isolation ( I I ) is defined as the calorimeter transverse energy in a cone of opening Δ R ≡ ( Δ η ) 2 + ( Δ ϕ ) 2 = 0.4 \Delta R\equiv\sqrt{(\Delta\eta)^{2}+(\Delta\phi)^{2}}=0.4 around the lepton (not including the lepton energy itself) divided by the lepton E T E_{T} or p T p_{T}
Cited in the paper.
The transverse mass of the W W boson ( M T , W M_{T,W} ) is defined as M T , W = 2 p T , ℓ E̸ T ( 1 − cos Δ ϕ ℓ , ν ) M_{T,W}=\sqrt{2p_{T,\ell}\not{E}_{T}(1-{\rm cos}\Delta\phi_{\ell,\nu})} , where Δ ϕ ℓ , ν \Delta\phi_{\ell,\nu} is the angle in the r − ϕ r-\phi plane between the directions of p T , ℓ p_{T,\ell} and E̸ T \not{E}_{T}
Cited in the paper.
J. Beringer et al
2012
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