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arxiv hep-ph/0703156 v1 pith:5EM3RG4X submitted 2007-03-14 hep-ph

Choosing the Factorization Scale in Perturbative QCD

classification hep-ph
keywords collinearfactorizationscaleschemechoosingcorrectionsphysicsabsorbs
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We define the collinear factorization scheme, which absorbs only the collinear physics into the parton distribution functions. In order to isolate the collinear physics, we introduce a procedure to combine real and virtual corrections, canceling infrared singularities prior to integration. In the collinear scheme, the factorization scale $\mu$ has a simple physical interpretation as a collinear cutoff. We present a method for choosing the factorization scale and apply it to the Drell-Yan process; we find $\mu \approx Q/2$, where $Q$ is the vector-boson invariant mass. We show that, for a wide variety of collision energies and $Q$, the radiative corrections are small in the collinear scheme for this choice of factorization scale.

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  1. Optimization of factorization scale in QED Drell-Yan-like processes

    hep-ph 2025-11 unverdicted novelty 3.0

    Analyzes factorization scale prescriptions for QED ISR corrections in e+e- annihilation in LL and NLL approximations and optimizes them via comparison to known two-loop results.