All-charm tetraquarks at hadron colliders: A high-precision fragmentation perspective

Abstract

We present the TQ4Q2.0 fragmentation functions for the production of all-heavy (fully heavy) $S$-wave tetraquarks ($T_{4Q}$) with scalar ($0^{++}$), axial-vector ($1^{+-}$), and tensor ($2^{++}$) quantum numbers in high-energy hadronic collisions. This work extends the previous TQ4Q1.1 framework by incorporating nonconstituent heavy-quark contributions and introducing a replica-based uncertainty-quantification strategy derived from multi-scale variations (MHOUs). The construction follows a nonrelativistic QCD factorization approach, combining gluon- and heavy-quark-initiated fragmentation channels at leading power. Initial-scale inputs are modeled through updated potential-inspired wave functions, while the subsequent DGLAP evolution is performed via the threshold-aware HF-NRevo scheme. A comprehensive systematic analysis of uncertainties is carried out, with contributions from color-composite long-distance matrix elements (LDMEs) and perturbative multiscale inputs. The resulting TQ4Q2.0 grids, publicly released in LHAPDF6 format, provide the first complete phenomenological set for all-heavy exotics, enabling precise studies of all-charm tetraquark production and jet-associated observables within the JETHAD environment. This article completes the high-energy resummation-driven generation of the TQ4Q program and establishes a definitive baseline for future collider-oriented analyses of all-heavy multiquark dynamics.

50 pages, 13 figures, 5 tables. Version published in Phys. Rev. D. Six NLO collinear FF sets for fully heavy tetraquarks (TQ4Q2.0), covering scalar, axial, and tensor states. Includes MHOU replicas, LDME variations, and DGLAP evolution, released in LHAPDF format at https://github.com/FGCeliberto/Collinear_FFs. Supplemental Mathematica notebook with all short-distance coefficients

References in corpus (207)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Heavy quarkonium: progress, puzzles, and opportunities
• LHAPDF6: parton density access in the LHC precision era
• Heavy Quark Symmetry
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• BFKL pomeron in the next-to-leading approximation
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Energy Scale(s) and Next-to-leading BFKL Equation
• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• An updated review of the new hadron states
• Observation of two charged bottomonium-like resonances in Y(5S) decays
• The New Heavy Mesons: A Status Report
• The Path to Proton Structure at One-Percent Accuracy
• Color-octet quarkonia production
• Color-Octet Fragmentation and the psi' Surplus at the Tevatron
• Determination of the X(3872) meson quantum numbers
• Observation of structure in the $J/\psi$-pair mass spectrum
• Color-octet quarkonia production II
• Observation of an exotic narrow doubly charmed tetraquark
• APFEL: A PDF Evolution Library with QED corrections
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• NLO Production and Decay of Quarkonium
• J/psi polarization at hadron colliders in nonrelativistic QCD
• Gluon Fragmentation into Heavy Quarkonium
• Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
• The Physics of Glueballs
• The 3-, 4-, and 5-flavor NNLO Parton from Deep-Inelastic-Scattering Data and at Hadron Colliders
• Quarkonium Production at High-Energy Colliders
• Z^0 Decay into Charmonium via Charm Quark Fragmentation
• Reconciling J/psi production at HERA, RHIC, Tevatron, and LHC with NRQCD factorization at next-to-leading order
• Polarization for Prompt J/psi, psi(2s) production at the Tevatron and LHC
• Upsilon production at the Tevatron and the LHC
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Model-independent study of structure in $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decays
• Suppressed decay into open charm for the Y(4260) being an hybrid
• The Forward Physics Facility: Sites, Experiments, and Physics Potential
• $QQ\bar{Q}\bar{Q}$ states: masses, production, and decays
• Perturbative QCD Fragmentation Functions for $B_c$ and $B_c^{\ast }$ Production
• Mueller Navelet jets at LHC - complete NLL BFKL calculation
• Color-Octet Contributions to $J/\psi$ Photoproduction
• Measurement of the X(3872) production cross section via decays to J/psi pi pi in pp collisions at sqrt(s) = 7 TeV
• Precision measurement of $CP$ violation in $B_s^0\to J/\psi K^{+}{K}^{-}$ decays
• Collinear Subtractions in Hadroproduction of Heavy Quarks
• Large $\pt$ Hadroproduction of Heavy Quarks
• New Observables in Inclusive Production of Quarkonia
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• A review of the intrinsic heavy quark content of the nucleon
• Hadroproduction of J/psi and Upsilon in association with a heavy-quark pair
• Quarkonium Hybrids with Nonrelativistic Effective Field Theories
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Hadro-production of Quarkonia in Fixed Target Experiments
• Double J/psi-meson Production at LHC and 4c-tetraquark state
• Charmonium Production at the Tevatron
• How the Z_c(3900) Reveals the Spectra of Quarkonium Hybrid and Tetraquark Mesons
• Measurement of the prompt $J/\psi$ pair production cross-section in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• J/psi Production via Fragmentation at the Tevatron
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• New structures in the J/$\psi$J/$\psi$ mass spectrum in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• CT14 Intrinsic Charm Parton Distribution Functions from CTEQ-TEA Global Analysis
• Evidence for intrinsic charm quarks in the proton
• Snowmass 2021 whitepaper: Proton structure at the precision frontier
• J/psi-Pair Production at Large Momenta: Indications for Double-Parton Scatterings and Large alpha_s^5 Contributions
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• Evidence for the existence of $ud\bar{b}\bar{b}$ and the non-existence of $ss\bar{b}\bar{b}$ and $cc\bar{b}\bar{b}$ tetraquarks from lattice QCD
• New limits on intrinsic charm in the nucleon from global analysis of parton distributions
• Approximate N${}^3$LO Parton Distribution Functions with Theoretical Uncertainties: MSHT20aN${}^3$LO PDFs
• Spectrum of the fully-heavy tetraquark state $QQ{\bar{Q}}^{\prime }{\bar{Q}}^{\prime }$
• Measurement of prompt J/psi pair production in pp collisions at sqrt(s) = 7 TeV
• Measurement of the ${\eta }_c(1S)$ production cross-section in proton-proton collisions via the decay ${\eta }_c(1S)\to p\bar{p}$
• PRODUCTION OF $B_c$ MESONS IN HADRONIC COLLISIONS
• Perturbative Heavy Quark Fragmentation Function through O(alpha_s^2)
• Measurement of the $b$-quark production cross-section in 7 and 13 TeV $pp$ collisions
• Heavy Quarkonium Production at Collider Energies: Factorization and Evolution
• ${\eta }_c$ production at LHC and indications on the understanding of $J/\psi$ production
• Review of Heavy Quarkonium at weak coupling
• Observation and studies of double J/psi production at the Tevatron
• Confronting Mueller-Navelet jets in NLL BFKL with LHC experiments at 7 TeV
• $O({\alpha }_s^2)$ Contributions to the longitudinal fragmentation function in $e^{+}{e}^{-}$ annihilation
• ${\psi }^{\prime }$ Polarization due to Color-Octet Quarkonia Production
• Fully-heavy tetraquark spectra and production at hadron colliders
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• Revisiting the D-meson hadroproduction in general-mass variable flavour number scheme
• Direct observation of the dead-cone effect in QCD
• Comparison of $pp$ and $p\bar{p}$ differential elastic cross sections and observation of the exchange of a colorless $C$-odd gluonic compound
• $T_{cc}^{+}$ decays: Differential spectra and two-body final states
• APFEL Web: a web-based application for the graphical visualization of parton distribution functions
• Heavy Quark Fragmentation into Heavy Mesons
• Measurement of the Lambda(b) cross section and the anti-Lambda(b) to Lambda(b) ratio with Lambda(b) to J/Psi Lambda decays in pp collisions at sqrt(s) = 7 TeV
• Measurements of $\psi (2S)$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ production in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• Mesons with Beauty and Charm: New Horizons in Spectroscopy
• On the mechanism of $T_{4c}(6900)$ tetraquark production
• Mueller-Navelet jets at 13 TeV LHC: dependence on dynamic constraints in the central rapidity region
• Forward Drell-Yan production at the LHC in the BFKL formalism with collinear corrections
• Fully-heavy tetraquarks in strongly interacting medium
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• Search for $bb\bar{b}\bar{b}$ tetraquark decays in 4 muons, $B^{+}{B}^{-}$, $B^0{\bar{B}}^0$ and $B_s^0{\bar{B}}_s^0$ channels at LHC
• Evidence for X(3872) in PbPb collisions and studies of its prompt production at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Comparison of the color-evaporation model and the NRQCD factorization approach in charmonium production
• Perturbative Heavy Quark Fragmentation Function through O(α_s^2): Gluon Initiated Contribution
• High-Energy Resummation in Di-hadron Production at the LHC
• Multi-Regge kinematics and azimuthal angle observables for inclusive four-jet production
• A phenomenological study of helicity amplitudes of high energy exclusive leptoproduction of the rho meson
• Inclusive Four-jet Production at 7 and 13 TeV: Azimuthal Profile in Multi-Regge Kinematics
• BFKL Azimuthal Imprints in Inclusive Three-jet Production at 7 and 13 TeV
• Calculating Fragmentation Functions from Definitions
• Triple parton scatterings in high-energy proton-proton collisions
• Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions
• Proper TMD factorization for quarkonia production: $pp\to {\eta }_{c,b}$ as a study case
• Exclusive production of $\varphi$ meson in the ${\gamma }^{\ast }p\to \varphi p$ reaction at large photon virtualities within $k_T$-factorization approach
• Hunting BFKL in semi-hard reactions at the LHC
• The Systematics of Quarkonium Production at the LHC and Double Parton Fragmentation
• Stability of Azimuthal-angle Observables under Higher Order Corrections in Inclusive Three-jet Production
• Forward $J/\psi$ and very backward jet inclusive production at the LHC
• The NLO jet vertex in the small-cone approximation for kt and cone algorithms
• Azimuthal decorrelation of jets widely separated in rapidity in pp collisions at sqrt(s) = 7 TeV
• EKO: Evolution Kernel Operators
• High-energy resummation in ${\Lambda }_c$ baryon production
• The persistent nonperturbative charm enigma
• Evaluating the double parton scattering contribution to Mueller-Navelet jets production at the LHC
• Inclusive production of a heavy-light dijet system in hybrid high-energy and collinear factorization
• High-energy resummation in heavy-quark pair photoproduction
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• QCD corrections to Upsilon production via color-octet states at the Tevatron and LHC
• Saturation effects in exclusive rhoT, rhoL meson electroproduction
• Inclusive dijet hadroproduction with a rapidity veto constraint
• High-energy resummed distributions for the inclusive Higgs-plus-jet production at the LHC
• Diffractive production of $\Lambda$ hyperons in the high-energy limit of strong interactions
• Dihadron production at the LHC: full next-to-leading BFKL calculation
• Hadronic Loops versus Factorization in EFT calculations of $X(3872)\to {\chi }_{cJ}{\pi }^0$
• A new simple PDF parametrization: improved description of the HERA data
• Charmed Mesons Fragmentation Functions
• Tetraquark Production in Double Parton Scattering
• Hadron-jet correlations in high-energy hadronic collisions 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
• Exclusive radiative production of fully-charmed tetraquarks at $B$ Factory
• Forward Drell-Yan and backward jet production as a probe of the BFKL dynamics
• Associated production of a quarkonium and a Z boson at one loop in a quark-hadron-duality approach
• Bottom-flavored inclusive emissions in the variable-flavor number scheme: A high-energy analysis
• The valence quark, sea, and gluon content of the pion from the parton distribution functions and the electromagnetic form factor
• Production of charged heavy quarkonium-like states at the LHC and the Tevatron
• Narrow exotic tetraquark mesons in large-$N_c$ QCD
• Exploring fully heavy scalar tetraquarks $QQ\overline{Q}\overline{Q}$
• Factorized power expansion for high-$p_T$ heavy quarkonium production
• On the Consistent Use of Scale Variations in PDF Fits and Predictions
• The NLO fragmentation functions of heavy quarks into heavy quarkonia
• Measurement of the ${\eta }_c(1S)$ production cross-section in $pp$ collisions at $\sqrt{s}=13$ TeV
• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• The QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^{\ast }$ meson and their application
• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• Indication for Double Parton Scatterings in W + Prompt J/Psi Production at the LHC
• Stability of hexaquarks in the string limit of confinement
• A Modern Introduction to Quarkonium Theory
• Complete NLO QCD study of single- and double-quarkonium hadroproduction in the colour-evaporation model at the Tevatron and the LHC
• Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Strong decays of $T_{cc}^{+}$ at NLO in an effective field theory
• The Hydrogen Bond of QCD
• Ultraforward production of a charmed hadron plus a Higgs boson in unpolarized proton collisions
• Transverse momentum dependent shape function for $J/\psi$ production in SIDIS
• Bound isoscalar axial-vector $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD using two-meson and diquark-antidiquark variational basis
• Triple prompt $J/\psi$ hadroproduction as a hard probe of multiple-parton scatterings
• Correlation of Theoretical Uncertainties in PDF Fits and Theoretical Uncertainties in Predictions
• Unintegrated gluon distributions from the color dipole cross section in the BGK saturation model
• Mueller-Navelet jets at the LHC: hunting data with azimuthal distributions
• Charm-meson Triangle Singularity in $e^{+}{e}^{-}$ Annihilation into $D^{\ast 0}{\bar{D}}^0+\gamma$
• Ground state heavy tetraquark production in heavy quark fragmentation
• Parton distributions with scale uncertainties: a MonteCarlo sampling approach
• Measurement of ${\chi }_{c1}(3872)$ production in proton-proton collisions at $\sqrt{s}=8$ and $13$ TeV
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Determination of the spin and parity of all-charm tetraquarks
• Toward the existence of odderon as a three-gluon bound state
• Differential heavy quark pair production at small $x$
• The very forward CASTOR calorimeter of the CMS experiment
• Emergence of high-energy dynamics from cascade-baryon detections at the LHC
• ECFA Higgs, electroweak, and top Factory Study
• A high-energy QCD portal to exotic matter: Heavy-light tetraquarks at the HL-LHC
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• Fragmentation functions for gluon into $B_c$ or $B_c^{\ast }$ meson
• B-meson hadroproduction in the SACOT-$m_{\mathrm{T}}$ scheme
• Heavy hexaquarks in a chiral constituent quark model
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Next-to-leading-order QCD corrections to gluon fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• Photoproduction of fully charmed tetraquark at electron-ion colliders
• Light quark fragmentation into S-wave fully charmed tetraquark
• Perturbative QCD Evidence for Spin-2 Particles in the Di-$J/\psi$ Resonances
• Forward & Far-Forward Heavy Hadrons with JETHAD: A High-energy Viewpoint
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Unwinding the rare $\Omega$ sector: Fragmentation of fully charmed baryons from HL-LHC to FCC
• Study of dijet events with large rapidity separation in proton-proton collisions at $\sqrt{s}=$ 2.76 TeV
• Pseudoscalar heavy-quarkonium hadroproduction from nonrelativistic fragmentation at NLL/NLO${}^{+}$
• Observation of double J/$\psi$ meson production in pPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 8.16 TeV
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• An analysis of the fragmentation function of gluon at next-to-leading order approximation
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Fully Heavy Pentaquarks with JETHAD: A High-Energy Viewpoint
• Measurement of ${\rm Y}$ production in $pp$ collisions at $\sqrt{s}=5\mathrm{TeV}$
• MuCol Milestone Report No. 7: Consolidated Parameters