Abstract
We compare two approaches to evaluate cross sections of heavy-quarkonium production at next-to-leading order in nonrelativistic QCD involving S- and P-wave Fock states: the customary approach based on phase space slicing and the approach based on dipole subtraction recently elaborated by us. We find reasonable agreement between the numerical results of the two implementations, but the dipole subtraction implementation outperforms the phase space slicing one both with regard to accuracy and speed.
Highlights
The conjectured factorization theorem [1] of nonrelativistic QCD (NRQCD) [2] is the most frequently used framework for calculations of inclusive heavy-quarkonium production
We compare two approaches to evaluate cross sections of heavy-quarkonium production at next-to-leading order in nonrelativistic QCD involving S- and P -wave Fock states: the customary approach based on phase space slicing and the approach based on dipole subtraction recently elaborated by us
The only exception is the work of Ref. [5], where color-singlet S-wave-state production was treated in the massless Catani-Seymour dipole subtraction scheme [6]
Summary
The conjectured factorization theorem [1] of nonrelativistic QCD (NRQCD) [2] is the most frequently used framework for calculations of inclusive heavy-quarkonium production It is based on a factorization into perturbative short-distance cross sections for heavy-quark-antiquark pairs in certain Fock states n, and nonperturbative long-distance matrix elements (LDMEs). Many calculations of these contributions have been performed at next-to-leading order (NLO) in the strong-coupling constant αs These works were almost exclusively done using the two-cutoff phase space slicing scheme as described in Ref. [7], we have formulated a subtraction scheme covering S- and P -wave color-singlet and color-octet states for the important example of hadroproduction This paper describes a numerical comparison of our implementations of two-cutoff phase space slicing and dipole subtraction for inclusive quarkonium hadroproduction.
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