J/ψ meson production in SIDIS: matching high and low transverse momentum

Daniël Boer, Umberto D’Alesio, Francesco Murgia, Cristian Pisano*, Pieter Taels

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

18 Citations (Scopus)
21 Downloads (Pure)


We consider the transverse momentum spectrum and the cos 2ϕ azimuthal distribution of J/ψ mesons produced in semi-inclusive, deep-inelastic electron-proton scattering, where the electron and the proton are unpolarized. At low transverse momentum, we propose factorized expressions in terms of transverse momentum dependent gluon distributions and shape functions. We show that our formulae, at the order αs, correctly match with the collinear factorization results at high transverse momentum. The latter are computed at the order αs2 in the framework of nonrelativistic QCD (NRQCD), with the inclusion of the intermediate 3S1[1] color-singlet Fock state, as well as the subleading color-octet ones that are relatively suppressed by a factor v4 in the NRQCD velocity parameter v. We show that the 1S0[8] and 3PJ[8] (J = 0, 1, 2) contributions diverge in the small transverse momentum region and allow us to determine the perturbative tails of the shape functions, which carry the same quantum numbers. These turn out to be identical, except for the overall magnitude given by the appropriate NRQCD long distance matrix element.

Original languageEnglish
Article number40
Number of pages26
JournalJournal of High Energy Physics
Issue number9
Publication statusPublished - 1-Sep-2020


  • Deep Inelastic Scattering (Phenomenology)
  • QCD Phenomenology

Cite this