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On the use of a running coupling in the NLO calculation of forward hadron production
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On the use of a running coupling in the NLO calculation of forward hadron production
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We address and solve a puzzle raised by a recent calculation [1] of the cross-section for particle production in proton-nucleus collisions to next-to-leading order: the numerical results show an un- reasonably large dependence upon the choice of a prescription for the QCD running coupling, which spoils the predictive power of the calculation. Specifically, the results obtained with a prescription formulated in the transverse coordinate space differ by one to two orders of magnitude from those obtained with a prescription in momentum space. We show that this discrepancy is an artefact of the interplay between the asymptotic freedom of QCD and the Fourier transform from coordinate space to momentum space. When used in coordinate space, the running coupling can act as a fictitious potential which mimics hard scattering and thus introduces a spurious contribution to the cross-section. We identify a new coordinate-space prescription which avoids this problem and leads to results consistent with those obtained with the momentum-space prescription.
Forward citations
Cited by 4 Pith papers
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Multiplicity-dependent forward jet production in proton-nucleus collisions
New CGC+SCET factorization framework for multiplicity-dependent single-inclusive forward jets in pA collisions that preserves the inclusive limit and identifies saturation effects on internal jet evolution.
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Multiplicity-dependent forward jet production in proton-nucleus collisions
CGC plus SCET semi-inclusive jet functions yield a multiplicity-conditioned forward-jet factorization that reduces exactly to the known inclusive CGC jet cross section.
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Endpoint Logarithms in the NLO Mueller-Navelet Jet Vertex: Threshold Matching and BLM/MOM Prescription Sensitivity
A conservative BFKL-aware threshold matching scheme is constructed for the NLO forward jet vertex that resums ordinary endpoint logs, preserves NLO accuracy, and is tested against CMS azimuthal observables, showing in...
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Endpoint Logarithms in the NLO Mueller-Navelet Jet Vertex: Threshold Matching and BLM/MOM Prescription Sensitivity
A conservative BFKL-aware endpoint matching of the NLO forward jet vertex moves R21 toward CMS but does not simultaneously describe all five CMS azimuthal observables under the tested BLM/MOM prescriptions.
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