Use of a running coupling in the NLO calculation of forward hadron production

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http://hdl.handle.net/10138/234819

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Ducloue , B , Iancu , E , Lappi , T , Mueller , A H , Soyez , G , Triantafyllopoulos , D N & Zhu , Y 2018 , ' Use of a running coupling in the NLO calculation of forward hadron production ' , Physical Review D , vol. 97 , no. 5 , 054020 . https://doi.org/10.1103/PhysRevD.97.054020

Title: Use of a running coupling in the NLO calculation of forward hadron production
Author: Ducloue, B.; Iancu, E.; Lappi, T.; Mueller, A. H.; Soyez, G.; Triantafyllopoulos, D. N.; Zhu, Y.
Other contributor: University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics
Date: 2018-03-20
Language: eng
Number of pages: 23
Belongs to series: Physical Review D
ISSN: 2470-0010
DOI: https://doi.org/10.1103/PhysRevD.97.054020
URI: http://hdl.handle.net/10138/234819
Abstract: 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 unreasonably 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 1 to 2 orders of magnitude from those obtained with a prescription in momentum space. We show that this discrepancy is an artifact 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.
Subject: COLOR GLASS CONDENSATE
NONLINEAR GLUON EVOLUTION
RENORMALIZATION-GROUP
QCD EVOLUTION
EQUATION
QUARK
114 Physical sciences
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