Relativistic corrections to $J/\psi$ polarization in photo- and hadroproduction

Abstract

We systematically calculate the relativistic corrections to the polarization variables of prompt $J/\psi$ photoproduction and hadroproduction using the factorization formalism of nonrelativistic QCD. Specifically, we include the ${}^3{S}_1^{[1]}$ and ${}^3{P}_J^{[1]}$ color-singlet and the ${}^3{S}_1^{[8]}$, ${}^1{S}_0^{[8]}$, and ${}^3{P}_J^{[8]}$ color-octet channels as well as the effects due to the mixing between the ${}^3{S}_1^{[8]}$ and ${}^3{D}_1^{[8]}$ channels. We provide all the squared hard-scattering amplitudes in analytic form. Assuming the nonrelativistic-QCD long-distance matrix elements to satisfy the velocity scaling rules, we find the relativistic corrections to be appreciable, especially at small transverse momentum $p_T$ and large inelasticity $z$. The results obtained here and in our previous work on the unpolarized yield [Phys. Rev. D 90, 014045 (2014)] will help to render global analyses of prompt $J/\psi$ production data more complete and hopefully to shed light on the $J/\psi$ polarization puzzle.

arXiv comment42 pages, 4 figures, matches journal version, PRD Editors' Suggestion

References in corpus (40)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Heavy quarkonium: progress, puzzles, and opportunities
• Improved Nonrelativistic QCD for Heavy Quark Physics
• QCD and strongly coupled gauge theories: challenges and perspectives
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• J/psi polarization at hadron colliders in nonrelativistic QCD
• J/psi (psi') production at the Tevatron and LHC at O(α_s^4v^4) in nonrelativistic QCD
• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• J/psi polarization at Tevatron and LHC: Nonrelativistic-QCD factorization at the crossroads
• World data of J/psi production consolidate NRQCD factorization at NLO
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Measurement of J/Psi and Psi(2S) Polarization in ppbar Collisions at sqrt(s) = 1.8 TeV
• Polarizations of J/psi and psi(2S) Mesons Produced in ppbar Collisions at 1.96 TeV
• Polarization of Prompt J/psi at the Tevatron
• Fragmentation contributions to J/psi production at the Tevatron and the LHC
• Measurement of the prompt J/psi and psi(2S) polarizations in pp collisions at sqrt(s) = 7 TeV
• Measurement of $J/\psi$ polarization in $pp$ collisions at $\sqrt{s}=7$ TeV
• J/$\psi$ polarization in pp collisions at $\sqrt{s}=7$ TeV
• QCD radiative corrections to ${\chi }_{cJ}$ production at hadron colliders
• ${\eta }_c$ production at the LHC challenges nonrelativistic-QCD factorization
• Inelastic photoproduction of polarised $J/\psi$
• Impact of ${\eta }_c$ hadroproduction data on charmonium production and polarization within NRQCD framework
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Complete next-to-leading-order corrections to J/psi photoproduction in nonrelativistic quantum chromodynamics
• Transverse momentum dependence of J/psi polarization at midrapidity in p+p collisions at sqrt(s)=200 GeV
• Next-to-leading-order tests of nonrelativistic-QCD factorization with $J/\psi$ yield and polarization
• Inelastic Production of J/psi Mesons in Photoproduction and Deep Inelastic Scattering at HERA
• Large-p_T Photoproduction of D^*+- Mesons in ep Collisions
• J/psi plus jet associated production in two-photon collisions at next-to-leading order
• Polarized J/psi from chi_{cJ} and psi' Decays at the Tevatron
• Probing nonrelativistic QCD factorization in polarized J/psi photoproduction at next-to-leading order
• Polarizations of ${\chi }_{c1}$ and ${\chi }_{c2}$ in prompt production at the LHC
• Spin correlations in polarizations of P-wave charmonia ${\chi }_{cJ}$ and impact on $J/\psi$ polarization
• J/psi plus prompt-photon associated production in two-photon collisions at next-to-leading order
• Angular distributions of leptons from J/psi's produced in 920 GeV fixed-target proton-nucleus collisions
• Determination of chi_c and chi_b polarizations from dilepton angular distributions in radiative decays
• Spin correlations and velocity-scaling in color-octet NRQCD matrix elements
• chi_{c1} and chi_{c2} decay angular distributions at the Fermilab Tevatron
• Relativistic corrections to prompt $J/\psi$ photo- and hadroproduction

Cited by in corpus (7)

• Inclusive Production of Heavy Quarkonia in pNRQCD
• Heavy quarkonium photoproduction in ultrarelativistic heavy ion collisions
• Deciphering the $X(3872)$ via its polarization in prompt production at the CERN LHC
• Photoproduction of the double $J/\psi$ (${\rm Y}$) at the LHC with forward proton tagging
• Next-to-leading order QCD corrections to ${\chi }_{cJ}{W}^{+}b$ associated production from top-quark decay
• ${\eta }_Q$ meson photoproduction in ultrarelativistic heavy ion collisions
• Relativistic effect of $J/\psi$ hadroproduction in large $p_T$ region