Choosing the factorization scale in perturbative QCD
msra(2007)
Abstract
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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Key words
high energy physics,infrared
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