Associated production of a dilepton and a ${\rm Y}(J/\psi )$ at the LHC as a probe of gluon transverse momentum dependent distributions

Abstract

We discuss the impact on the study of gluon transverse momentum dependent distributions (TMDs) of the associated production of a lepton pair and a ${\rm Y}$ (or a $J/\psi$) in unpolarised proton-proton collisions, $pp\to \mathcal{Q}\ell \bar{\ell }X$, at LHC energies, where one can assume that such final states are dominantly induced by gluon fusion. If the transverse momentum of the quarkonium-dilepton system - namely, the transverse momentum imbalance of the quarkonium state and the lepton pair - is small, the corresponding cross sections can be calculated within the framework of TMD factorisation. Using the helicity formalism, we show in detail how these cross sections are connected to the moments of two independent TMDs: the distribution of unpolarised gluons, $f_1^g$, and the distribution of linearly polarised gluons, $h_1^{\perp g}$. We complete our exhaustive derivation of these general relations with a phenomenological analysis of the feasibility of the TMD extraction, as well as some outlooks.

20 pages, 16 figures

References in corpus (22)

• Heavy quarkonium: progress, puzzles, and opportunities
• Relations between generalized and transverse momentum dependent parton distributions
• The CCFM Monte Carlo generator CASCADE 2.2.0
• J/psi, psi' and Upsilon Production at Hadron Colliders: a review
• Direct Probes of Linearly Polarized Gluons inside Unpolarized Hadrons
• Asymmetries in Heavy Quark Pair and Dijet Production at an EIC
• Observation of Upsilon(1S) pair production in proton-proton collisions at sqrt(s) = 8 TeV
• Observation and measurements of the production of prompt and non-prompt $J/\psi$ mesons in association with a $Z$ boson in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Next-to-Leading-Order QCD corrections to J/ψ(Υ)+γproduction at the LHC
• Search for Higgs and $Z$ Boson Decays to $J/\psi \gamma$ and ${\rm Y}(nS)\gamma$ with the ATLAS Detector
• TMD evolution and the Higgs transverse momentum distribution
• Real next-to-next-to-leading-order QCD corrections to J/psi and Upsilon hadroproduction in association with a photon
• QCD corrections to $J/\psi$ production in association with a $W$-boson at the LHC
• Gluon TMDs in quarkonium production
• Un-integrated PDFs in CCFM
• Impact of gluon polarization on Higgs plus jet production at the LHC
• Breakdown of QCD Factorization for P-Wave Quarkonium Production at Low Transverse Momentum
• Resummation of High Order Corrections in Higgs Boson Plus Jet Production at the LHC
• Phenomenological analysis of associated production of $Z^0+b$ in the $b\to J/\psi X$ decay channel at the LHC
• Spin physics and TMD studies at A Fixed-Target ExpeRiment at the LHC (AFTER@LHC)
• Gluon TMDs in quarkonium production
• Kinematical correlations for Higgs boson plus High Pt Jet Production at Hadron Colliders

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• A journey into the proton structure: Progresses and challenges
• Azimuthal asymmetries in $J/\psi$-photon production at the EIC
• The suppressions of dijet azimuthal correlations in the future EIC
• Gluon TMD fragmentation function into quarkonium
• $\cos 2{\varphi }_t$ azimuthal asymmetry in back-to-back $J/\psi$-jet production in $ep\to eJ/\psi JetX$ at the EIC
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