Extracting Muon Momentum Scale Corrections for Hadron Collider Experiments

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The coordinates in the laboratory frame are ( θ \theta , ϕ \phi , z z ), where θ \theta is the polar angle relative to the direction of one of the proton beams(the + z +z axis), and ϕ \phi the azimuth. The pseudorapidity is η = − l ​ n ​ t ​ a ​ n ​ ( θ / 2 ) \eta=-ln~tan(\theta/2) . For an μ + + μ − \mu^{+}+\mu^{-} pair p T = P ​ s ​ i ​ n ​ θ p_{T}=Psin\theta , E T = E ​ s ​ i ​ n ​ θ E_{T}=Esin\theta , the rapidity y = 1 2 ​ l ​ n ​ E + p z E − p z y=\frac{1}{2}ln\frac{E+p_{z}}{E-p_{z}} , where P P and p z p_{z} are the magnitude and z component of the momentum, and E is the energy of the μ + + μ − \mu^{+}+\mu^{-} pair

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