Gluon TMDs in quarkonium production

Abstract

Quarkonium production offers good possibilities to study gluon TMDs. In this proceedings contribution this topic is explored for the linearly polarized gluons inside unpolarized hadrons and unpolarized gluons inside transversely polarized hadrons. It is argued that ${\chi }_{b0/2}$ and ${\eta }_b$ production at LHC are best to study the effects of linearly polarized gluons in hadronic collisions, by means of angular independent ratios of ratios of cross sections. This can be directly compared to $\cos 2\varphi$ asymmetries in heavy quark pair and dijet production in DIS at a future high-energy Electron-Ion Collider (EIC), which probe the same TMDs. In the small-$x$ limit this corresponds to the Weizsäcker-Williams (WW) gluon distributions, which should show a change in behavior for transverse momenta around the saturation scale. Together with investigations of the dipole (DP) gluon distributions, this can provide valuable information about the polarization of the Color Glass Condensate if sufficiently small $x$ are reached. Quarkonia can also be useful in the study of single transverse spin asymmetries. For transversely polarized hadrons the gluon distribution can be asymmetric, which is referred to as the Sivers effect. It leads to single spin asymmetries in for instance $J/\psi$ (pair) production at AFTER@LHC, which probe the WW or $f$-type gluon Sivers TMD. It allows for a test of a sign-change relation w.r.t. the gluon Sivers TMD probed at an EIC in open heavy quark pair production. Single spin asymmetries in backward inclusive $C$-odd quarkonium production, such as $J/\psi$ production, may offer probes of the DP or $d$-type gluon Sivers TMD at small $x$-values in the polarized proton, which in that limit corresponds to a correlator of a single Wilson loop, describing the spin-dependent odderon.

arXiv comment9 pages, no figures, contribution to the proceedings of the ECT* Workshop: New Observables in Quarkonium Production (Quarkonium2016), Trento, Italy, 28 February - 4 March 2016

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Cited by in corpus (26)

• New Observables in Inclusive Production of Quarkonia
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Measuring the Weizsaecker-Williams distribution of linearly polarized gluons at an EIC through dijet azimuthal asymmetries
• Probing the gluon Sivers function in $p^{\uparrow }p\to J/\psi X$ and $p^{\uparrow }p\to DX$
• Pinning down the linearly-polarised gluons inside unpolarised protons using quarkonium-pair production at the LHC
• Proper TMD factorization for quarkonia production: $pp\to {\eta }_{c,b}$ as a study case
• Associated production of a dilepton and a ${\rm Y}(J/\psi )$ at the LHC as a probe of gluon transverse momentum dependent distributions
• A Fixed-Target Programme at the LHC: Physics Case and Projected Performances for Heavy-Ion, Hadron, Spin and Astroparticle Studies
• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Studies of gluon TMDs and their evolution using quarkonium-pair production at the LHC
• Diffractive semi-hard production of a $J/\psi$ or a ${\rm Y}$ from single-parton fragmentation plus a jet in hybrid factorization
• Matching factorization theorems with an inverse-error weighting
• Sivers effect in Inelastic $J/\psi$ Photoproduction in $e{p}^{\uparrow }$ Collision in Color Octet Model
• TMD gluon distributions at small x in the CGC theory
• Feasibility Studies for Single Transverse-Spin Asymmetry Measurements at a Fixed-Target Experiment Using the LHC Proton and Lead Beams (AFTER@LHC)
• T-odd Leading-Twist Quark TMDs at Small $x$
• Curing the unphysical behaviour of NLO quarkonium production at the LHC and its relevance to constrain the gluon PDF at low scales
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Sub-femtometer scale color charge correlations in the proton
• Lensing Mechanism Meets Small-$x$ Physics: Single Transverse Spin Asymmetry in $p^{\uparrow }+p$ and $p^{\uparrow }+A$ Collisions
• High-density gas target at the LHCb experiment
• The suppressions of dijet azimuthal correlations in the future EIC
• Fluctuations of the gluon distribution from the small-x effective action
• Production of $S$-wave charmonia in the soft gluon resummation approach using the NRQCD
• Investigating the Transverse Single Spin Asymmetry in the Inelastic $J/\Psi$ photoproduction in $p^{\uparrow }p$ and $p^{\uparrow }A$ collisions
• Probing the Sivers asymmetries through $J/\psi$ photoproduction in ${\mathrm{p}}^{\uparrow }\mathrm{p}$ collision with forward proton tagging