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We present a simple method for the extraction of corrections for bias in themeasurement of the momentum of muons in hadron collider experiments. Such biascan originate from a variety of sources such as detector misalignment, softwarereconstruction bias, and uncertainties in the magnetic field. The two stepmethod uses the mean $<1/p^\mu_T>$ for muons from $Z\to \mu\mu$ decays todetermine the momentum scale corrections in bins of charge, $\eta$ and $\phi$.In the second step, the corrections are tuned by using the average invariantmass $<M^Z_{\mu\mu}>$ of $Z\to \mu\mu$ events in the same bins of charge $\eta$and $\phi$. The forward-backward asymmetry of $Z/\gamma^{*} \to \mu\mu$ pairsas a function of $\mu^+\mu^-$ mass, and the $\phi$ distribution of $Z$ bosonsin the Collins-Soper frame are used to ascertain that the corrections removethe bias in the momentum measurements for positive versus negatively chargedmuons. By taking the sum and difference of the momentum scale corrections forpositive and negative muons, we isolate additive corrections to $1/p^\mu_T$that may originate from misalignments and multiplicative corrections that mayoriginate from mis-modeling of the magnetic field $(\int \vec{B} \cdotd\vec{L})$. This method has recently been used in the CDF experiment atFermilab and in the CMS experiment at the Large Hadron Collider at CERN

Extracting Muon Momentum Scale Corrections for Hadron Collider Experiments