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We present a measurement of the cross section for $W$ boson production in association with at least one {$b$-quark} jet in proton-antiproton collisions.
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We use a standard right-handed coordinate system. The nominal collision point is the center of the detector with coordinate ( 0 , 0 , 0 ) (0,0,0) . The direction of the proton beam is the positive + z +z axis. The + x +x axis is horizontal, pointing away from the center of the Tevatron ring. The + y +y axis points vertically upwards. The polar angle, θ \theta , is defined fined such that θ = 0 \theta=0 is the + z +z direction. The rapidity is defined as y = − ln [ ( E + p Z ) / ( E − p Z ) ] y=-\ln\left[(E+p_{Z})/(E-p_{Z})\right] , where E E is the energy and p Z p_{Z} is the momentum component along the proton beam direction. Pseudorapidity is defined as η = − ln ( tan θ 2 ) \eta=-\ln(\tan\frac{\theta}{2}) . φ \varphi is defined as the azimuthal angle in the plane transverse to the proton beam direction
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Since the longitudinal component of the momentum of the neutrinos is not measured, the measured properties of the W W boson candidates are limited to their transverse energy and transverse mass, defined as M T = ( p / T + p T ℓ ) 2 − ( p / x + p x ℓ ) 2 − ( p / y + p y ℓ ) 2 M_{T}=\sqrt{(\mbox{$\mbox{$p\kern-4.49997pt/\penalty$ }_{T}\!$ }+p_{T}^{\ell})^{2}-(\mbox{$p\kern-4.49997pt/\penalty$ }_{x}\!+p_{x}^{\ell})^{2}-(\mbox{$p\kern-4.49997pt/\penalty$ }_{y}\!+p_{y}^{\ell})^{2}} where p / T \mbox{$p\kern-4.49997pt/\penalty$ }_{T}\!
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