Production of $J/\psi$ within the soft gluon resummation approach and nonrelativistic QCD

V. A. Saleev   ; K. K. Shilyaev

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 30 (2024) no. 4, pp. 133-146

Résumé

In our study we analyse prompt $J/\psi$ production in proton-proton collisions within the Soft Gluon Resummation approach, collinear parton model and nonrelativistic QCD. We extract a set of long-distance matrix elements for octet color states from experimental data at $\sqrt s = 200$ GeV. We use the InEW scheme for matching cross section and description of $J/\psi$ production in a domain of intermediate transverse momenta. We also provide prediction for $J/\psi$ production using fitted matrix elements at the kinematics of SPD NICA.

Détail

Keywords: high energy physics, quantum chromodynamics, collinear parton model, noncollinear factorisation, soft gluon resummation approach, nonrelativistic quantum chromodynamics, charmonium, SPD NICA.

Bibliographie

[1] A. Arbuzov et al., “On the physics potential to study the gluon content of proton and deuteron at NICA SPD”, Progress in Particle and Nuclear Physics, 119 (2021), 103858 | DOI

[2] Anufriev A.V., Saleev V.A., “High-Energy Production of $\eta_c$ Mesons in Proton-Proton Collisions”, Physics of Particles and Nuclei, 55:4 (2024), 836–840 | DOI

[3] Boer D., den Dunnen W.J., “TMD evolution and the Higgs transverse momentum distribution”, Nuclear Physics B, 886 (2014), 421–435 | DOI | MR | Zbl

[4] Sun P., Xiao B.-W., Yuan F., “Gluon Distribution Functions and Higgs Boson Production at Moderate Transverse Momentum”, Physical Review D, 84:9 (2011), 094005 | DOI

[5] Collins J., Foundation of Perturbative QCD, Cambridge University Press, Cambridge, 2011, 624 pp. | DOI | MR

[6] Echevarria M.G., Kasemets T., Lansberg J.-P., Pisano C., Signori A., “Matching factorization theorems with an inverse-error weighting”, Physics Letters. Section B, 781 (2018), 161–168 | DOI | MR

[7] Collins J.C., Soper D.E., Sterman G.F., “Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production”, Nuclear Physics B, 250 (1985), 199–224 | DOI

[8] Collins J.C., Soper D.E., “Back-To-Back Jets in QCD”, Nuclear Physics B, 193:2 (1981), 381–443 | DOI

[9] Bor J., Boer D., “TMD evolution study of the $\cos 2\phi$ azimuthal asymmetry in unpolarized $J\psi$ production at EIC”, Physical Review D, 106:1 (2022), 014030 | DOI

[10] Aybat S.M., Rogers T.C., “TMD Parton Distribution and Fragmentation Functions with QCD Evolution”, Physical Review D, 83:11 (2011), 114042 | DOI

[11] Lepage G.P., Magnea L., Nakhleh C., “Improved nonrelativistic QCD for heavy-quark physics”, Physical Review D, 46 (1992), 4052–4067 | DOI

[12] Bodwin G.T., Braaten E., Lepage G.P., “Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium”, Physical Review D, 51 (1995), 1125–1171 | DOI

[13] Kühn J.H., Kaplan J., Safiani E.G.O., “Electromagnetic Annihilation of $e^+ e^-$ Into Quarkonium States with Even Charge Conjugation”, Nuclear Physics B, 157 (1979), 125–144 | DOI

[14] Cho P., Leibovich A.K., “Color-octet quarkonia production”, Physical Review D, 53 (1996), 150–162 | DOI

[15] Gastmans R., Troost W., Wu T.T., “Cross-Sections for Gluon+ + Gluon $\to$ Heavy Quarkonium ++ Gluon”, Physics Letters. Section B, 184:2-3 (1987), 257–260 | DOI

[16] Cho P., Leibovich A. K., “Color-octet quarkonia production. II”, Physical Review D, 53:11 (1996), 6203–6217 | DOI

[17] Lucha W., Schoberl F.F., Gromes D., “Bound states of quarks”, Physics Reports, 200:4 (1991), 127–240 | DOI

[18] Eichten E.J., Quigg C., “Quarkonium wave functions at the origin”, Physical Review D, 52:3 (1995), 1726–1728 | DOI

[19] Hanh T., “Cuba - a library for multidimensional numerical integration”, Computer Physics Communications, 168:2 (2005), 78–95 | DOI | MR

[20] Hahn T., “Generating Feynman diagrams and amplitudes with FeynArts 3”, Computer Physics Communications, 140:3 (2001), 418–431 | DOI | Zbl

[21] Shtabovenko V., Mertig R., Orellana F., “FeynCalc 9.3: New features and improvements”, Computer Physics Communications, 256 (2020), 107478 | DOI | MR | Zbl

[22] Martin A.D., Stirling W.J., Thorne R.S., Watt G., “Parton distributions for the LHC”, The European Physical Journal C, 63 (2009), 189–285 | DOI | Zbl

[23] P.A. Zyla et al., “Review of Particle Physics”, Progress of Theoretical and Experimental Physics, 2020:8 (2020), 083C01 | DOI

[24] Braaten E., Kniehl B.A., Lee J., “Polarization of prompt $J\psi$ at the Fermilab Tevatron”, Physical Review D, 62:9 (2000), 094005 | DOI | MR

[25] Chernyshev A.A., Saleev V.A., “Single and pair $J\psi$ production in the improved color evaporation model using the parton Reggeization approach”, Physical Review D, 106:11 (2022), 114006 | DOI

[26] A. Adare et al., “Ground and excited state charmonium production in $p + p$ collisions at $\sqrt{s} = 200$ GeV”, Physical Review D, 85 (2012), 092004 | DOI

[27] A. Adare et al., “$J\psi$ production versus transverse momentum and rapidity in $p^+p$ collisions at $\sqrt{s} = 200$-GeV”, Physical Review Letters, 98 (2007), 232002 | DOI

[28] J. Adam et al., “$J\psi$ production cross section and its dependence on charged-particle multiplicity in $p + p$ collisions at $\sqrt{s} = 200$ GeV”, Physics Letters B, 786 (2018), 87–93 | DOI

[29] B.I. Abelev et al., “$J/\psi$ production at high transverse momentum in $p + p$ and Cu+Cu collisions at $\sqrt{s_{NN}} = 200$ GeV”, Physical Review C, 80:4 (2009), 041902 | DOI