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Corrigendum to “Systematics of azimuthal anisotropy harmonics in proton–nucleus collisions at the LHC from the Color Glass Condensate” (Physics Letters B (2019) 788 (161–165), (S0370269318308438), (10.1016/j.physletb.2018.09.064))

  • University of Jyväskylä
  • University of Helsinki
  • North Carolina State University
  • Brookhaven National Lab
  • Brookhaven National Laboratory

Research output: Contribution to journalComment/debate

14 Scopus citations

Abstract

In [1], we argued that the multiplicity dependence of momentum integrated two particle Fourier harmonics [Formula presented] observed at the LHC in p+Pb collisions can be explained, at least qualitatively, based on the power counting of the projectile nucleus color charge density, [Formula presented], in the dilute-dense limit of the Color Glass Condensate (CGC) effective field theory framework. We concluded that the dilute-dense CGC multiplicity scaling is [Formula presented] To go beyond the scaling arguments in Eqn. (1) and determine the magnitude of this signal, we considered the numerical framework introduced in [2]. Here the momentum integrated Fourier harmonics can then be defined as [Formula presented] where the even and odd harmonics are respectively given in terms of [Formula presented] and [Formula presented] The even and odd single inclusive distribution, [Formula presented], are given explicitly in Eqns. (2) and (3) of [1], and are of order [Formula presented] respectively. In [1] we argued that the momentum integrated even harmonics [Formula presented], and their multiplicity dependence, estimated in our numerical approach, are in agreement with p+Pb data from the ATLAS collaboration at the LHC. However, we discovered a numerical error in our calculations, whereby a factor of ħc was missing in the unit conversion for the momentum. Therefore, the momenta [Formula presented] in Eqns. (3) and (4) were instead a factor of ħc smaller than expected. While this does not change the power counting and multiplicity scaling of [Formula presented] as argued in [1], it does affect the magnitude of [Formula presented] estimated in the numerical calculations, presented in Fig. 3 of [1]. Revised results, with comparison to recent ATLAS results [3], are presented in Fig. 1. We find that the multiplicity independence of both [Formula presented], as argued in [1] based on the scaling arguments given in Eqn. (1), is unaffected. However the quantitative agreement for [Formula presented] is no longer evident. The results presented here used lattices with [Formula presented], [Formula presented]; as noted in [1], the convergence of [Formula presented] is especially slow, so while our studies indicate things have converged with this discretization, definitively ensuring the continuum limit is reached is challenging given current resources.

Original languageEnglish
Article number135006
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume799
DOIs
StatePublished - Dec 10 2019

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