Effective field theories for heavy quarkonium

Abstract

We review recent theoretical developments in heavy quarkonium physics from the point of view of Effective Field Theories of QCD. We discuss Non-Relativistic QCD and concentrate on potential Non-Relativistic QCD. Our main goal will be to derive QCD Schrödinger-like equations that govern the heavy quarkonium physics in the weak and strong coupling regime. We also discuss a selected set of applications, which include spectroscopy, inclusive decays and electromagnetic threshold production.

162 pages, 30 figures, revised version, references added. Accepted for publication in Reviews of Modern Physics

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• A lattice determination of QCD field strength correlators
• More on ambiguities in the pole mass
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• The logarithmic contribution to the QCD static energy at NNNNLO
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• The $B_c$ mass up to order ${\alpha }_s^4$
• Rigourous QCD Evaluation of Spectrum and Other Properties of Heavy Quarkonium Systems; II Bottomium with n=2, l=0,1
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• A Phenomenological Analysis of Gluon Mass Effects in Inclusive Radiative Decays of the $J/\psi$ and $Υ
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• Momentum Representation of Coulomb Wave Functions and Level Shifts in Bottomonium due to Charm Effects

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• Production and polarization of $S$-wave quarkonia in potential nonrelativistic QCD
• Heavy quarkonium suppression beyond the adiabatic limit
• Nucleon-nucleon interaction in chiral EFT with a finite cutoff: explicit perturbative renormalization at next-to-leading order
• Heavy Pair Production Currents with General Quantum Numbers in Dimensionally Regularized NRQCD
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• Heavy Quarkonium Production at LHC through $W$ Boson Decays
• Prospects for e+e- physics at Frascati between the phi and the psi
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Heavy quarkonium moving in hot and dense deconfined nuclear matter
• $\overline{\mathrm{MS}}$ renormalization of $S$-wave quarkonium wavefunctions at the origin
• Heavy quarkonia in a bulk viscous medium
• Quark-antiquark potential from a deformed AdS/QCD
• In-medium P-wave quarkonium from the complex lattice QCD potential
• The charm quark mass from non-relativistic sum rules
• Radiative decays and the nature of heavy quarkonia
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Renormalization of the cyclic Wilson loop
• Two-photon width of eta_b, eta'_b and eta''_b from Heavy-Quark Spin Symmetry
• The nucleon-nucleon potential beyond the static approximation
• Lattice gauge theory computation of the static force
• Galilean Yang-Mills Theory
• Heavy hybrid decays to quarkonia
• Heavy meson interquark potential
• Relativistic corrections to the pair double heavy diquark production in e^+e^- annihilation
• Quarkonium dissociation at finite chemical potential
• Light-front wavefunctions of mesons by design
• Analytic approach to calculations of mass spectra and decay constants of heavy-light quarkonia in the framework of Bethe-Salpeter equation
• Some Aspects of the Theory of Heavy Ion Collisions
• Relativistic corrections to the static potential at O(1/m) and O(1/m^2)
• Polyakov loop correlator in perturbation theory
• The static hybrid potential in D dimensions at short distances
• Strong coupling constant and quark masses from lattice QCD
• Color Screening in Quantum Chromodynamics
• Effective Field Theories for Heavy Quarkonium
• Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD
• Quarkonium propagation in the quark gluon plasma
• Bethe-Salpeter wave functions of ${\eta }_c(2S)$ and $\psi (2S)$ states from full lattice QCD
• Galilean Field Theories and Conformal Structure
• Excited Heavy Quarkonium Production via Z^0 Decays at a High Luminosity Collider
• Prospects for quarkonium studies at the high-luminosity LHC
• Study of ${\rm Y}(nS)$ $\to$ $B_{c}P$ decays with perturbative QCD approach
• Relativistic corrections to the pair $B_c$-meson production in $e^{+}{e}^{-}$ annihilation
• Heavy $P$-wave quarkonium production via Higgs decays
• Excited Heavy Quarkonium Production at the LHC through $W$-Boson Decays
• Electric dipole transitions of $1P$ bottomonia
• ${\chi }_{cJ}\to e^{+}{e}^{-}$ decays revisited
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• Heavy Quarkonia in a Potential Model: Binding Energy, Decay Width, and Survival Probability
• Non-relativistic and potential non-relativistic effective field theories for scalar mediators
• An approach to calculation of mass spectra and two-photon decays of $c\overline{c}$ mesons in the framework of Bethe-Salpeter Equation
• Matching coefficients in NRQCD to two-loop accuracy
• Overview of Non-Relativistic QCD
• Higgs boson decay to paired $B_c$: relativistic and one-loop corrections
• Strong and Electromagnetic Mass Splittings in Heavy Mesons
• Study of $I=0$ bottomonium bound states and resonances in $S$, $P$, $D$ and $F$ waves with lattice QCD static-static-light-light potentials
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• From Complex to Stochastic Potential: Heavy Quarkonia in the Quark-Gluon Plasma
• Review on the determination of alpha_s from the QCD static energy
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• The interplay between compact and molecular structures in tetraquarks
• Measurement of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{D}^{+}{D}^{-}$ cross sections at center-of-mass energies from 4.190 to 4.946 GeV
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Bethe-Salpeter amplitudes of Upsilons
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• The spin-orbit potential and Poincaré invariance in finite temperature pNRQCD
• Medium evolution of a static quark-antiquark pair in the large $N_c$ limit
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Velocity-induced Heavy Quarkonium Dissociation using the gauge-gravity correspondence
• New puzzle in charmonium decays
• Poincaré invariance in NRQCD and pNRQCD revisited
• Heavy quarkonium wave functions at the origin and excited heavy quarkonium production via top quark decays at the LHC
• Bound-state formation, dissociation and decays of darkonium with potential non-relativistic Yukawa theory for scalar and pseudoscalar mediators
• Instanton effects on the heavy-quark static potential
• Relativistic corrections to exclusive ${\chi }_{cJ}+\gamma$ production from $e^{+}{e}^{-}$ annihilation
• Relativistic corrections to paired production of charmonium and bottomonium in decays of the Higgs boson
• Lattice study of hybrid static potentials
• Study of $B_c\to DS$ Decays in PQCD Approach
• Variational Worldline Approximation for the Relativistic Two-Body Bound State in a Scalar Model
• ${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ within and beyond the Standard Model
• Charmonium potentials: Matching perturbative and lattice QCD
• Gluo-dissociation of Heavy Quarkonium in the Quark-Gluon Plasma Revisited
• Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B* - B mass splitting
• QCD Static Force in Gradient Flow
• Renormalization approach to constituent quark models of Quarkonium
• Static quark correlators and quarkonium properties at non-zero temperature
• Splittings of low-lying charmonium masses at the physical point
• The Charmonium Potential at Non-Zero Temperature
• Heavy Quarkonium Dissociation by Thermal Gluons at Next-to-leading Order in the Quark-Gluon Plasma
• Bottomonium spectroscopy motivated by general features of pNRQCD
• The chromo-polarizabilities of a heavy quark at weak coupling
• Charmonium Properties Using the Discrete Variable Representation (DVR) Method
• Proper static potential in classical lattice gauge theory at finite T
• Renormalization group improved pQCD prediction for ${\rm Y}(1S)$ leptonic decay
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Comparison of the heavy-fermion and Foldy-Wouthuysen formalisms at third order
• Quarkonium radiative decays from the hadronic Paschen-Back effect
• Relations among $B_c\to J/\psi ,{\eta }_c$ form factors
• Higgs boson decay to the pair of S- and P-wave $B_c$ mesons
• ${\rm Y}(1S)$ $\to$ $B_c\pi$, $B_{c}K$ decays with perturbative QCD approach
• Review of bottomonium measurements from CMS
• On the predictivity of the non-renormalizable quantum field theories
• Heavy meson semileptonic differential decay rate in two dimensions in the large Nc
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
• Testing Little Higgs Mechanism at Future Colliders
• Excited heavy quarkonium production in Higgs boson decays
• Quark motional effects on the interquark potential in baryons
• Static meson correlators in 2+1 flavor QCD at non-zero temperature
• Renormalization of Loop Functions in QCD
• Building blocks of Cwebs in multiparton scattering amplitudes
• The QCD static potential in D<4 dimensions at weak coupling
• Shedding Light on Hadronization by Quarkonium Energy Correlator
• Implications of a New Light Scalar Near the Bottomonium Regime
• Study of $B_c^{\ast }$ $\to$ $\psi (1S,2S)P$, ${\eta }_c(1S,2S)P$ weak decays
• A Heavy Quark-Antiquark Pair in Hot QCD
• HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• The leading twist light-cone distribution amplitudes for the S-wave and P-wave Bc mesons
• Examining coupled-channel effects in radiative charmonium transitions
• 1/N_c and 1/n preasymptotic corrections to Current-Current correlators
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Heavy quarkonia in QGP medium in an arbitrary magnetic field
• Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation
• Unravelling Pentaquarks with Born--Oppenheimer effective theory
• Quarkonia at finite temperature in relativistic heavy ion collisions
• Quark-hadron phase structure of QCD matter from SU($4$) Polyakov linear sigma model
• Higher-order condensate corrections to ${\rm Y}$ masses, leptonic decay rates and sum rules
• The discrete contribution to ${\psi }^{\prime }\to J/\psi +\gamma \gamma$
• Bottomonium spectroscopy in the quark-gluon plasma
• Three-loop non-singlet matching coefficients for heavy quark currents
• Chromopolarizabilities of fully-heavy baryons
• S-wave heavy quarkonium spectrum with next-to-next-to-next-to-leading logarithmic accuracy
• The complex heavy-quark potential with the Gribov-Zwanziger action
• The Direct Coupling of Light Quarks to Heavy Di-quarks
• Non-perturbative effects for dark sectors with QCD portals
• Spectator effects in the HQET renormalization group improved Lagrangian at $\mathcal{O}(1/m^3)$ with leading logarithmic accuracy: Spin-dependent case
• Impact of Medium Anisotropy on Quarkonium Dissociation and Regeneration
• How well does nonrelativistic QCD factorization work at next-to-leading order?
• Momentum anisotropy effects for quarkonium in a weakly-coupled quark-gluon plasma below the melting temperature
• $P$-wave quarkonium wavefunctions at the origin in the $\overline{\mathrm{MS}}$ scheme
• Renormalized Quarkonium
• Interquark potential for the charmonium system with almost physical quark masses
• A holographic model for large N thermal QCD
• Effective Quark Antiquark Potential in the Quark Gluon Plasma from Gravity Dual Models
• Heavy Hadron Spectroscopy
• Deciphering Colour Building Blocks of Massive Multiparton Amplitudes at 4-loops and beyond
• On renormalons of static QCD potential at $u=1/2$ and $3/2$
• Deep inelastic scattering and factorization in the 't Hooft Model
• Coulomb expectation values in $D=3$ and $D=3-2\epsilon$ dimensions
• Manifestly Soft Gauge Invariant Formulation of vNRQCD
• The hydrogen atom in $D=3-2\epsilon$ dimensions
• Off-lightcone Wilson-line operators in gradient flow
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• Relativistic corrections to the static energy in terms of Wilson loops at weak coupling
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• The ${\rm Y}(1S)$ $\to$ $B_c\rho$ decay with perturbative QCD approach
• Effective Field Theories of QCD for Heavy Quarkonia at Finite Temperature
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Glueball masses and Regge trajectories for the QCD-inspired potential
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Decays of open charmed mesons in the extended Linear Sigma Model
• Quarkonium Spectroscopy: Beyond One-Gluon Exchange
• Screened potential and quarkonia properties at high temperatures
• Treating divergence in quark matter by using energy projectors
• Conformal perturbation theory confronts lattice results in the vicinity of a critical point
• The QCD static potential in 2+1 dimensions at weak coupling
• Hot-medium effects on ${\rm Y}$ yields in pPb collisions at $\sqrt{s_{\text{NN}}}=8.16$ TeV
• Possibility of searching for $B_c^{\ast }$ $\to$ $B_{u,d,s}V$, $B_{u,d,s}P$ decays
• First Estimates of Nonleptonic $B_c\to AT$ Weak Decays
• Analysis of the radiative decays among the bottomonium states
• Analysis of the vector meson transitions among the heavy quarkonium states
• Study on ${\rm Y}(nS)$ $\to$ $B_{c}M$ decays
• B-mesons as essential probes of hot QCD matter
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD
• Mixed heavy-quark-gluon condensate in the stochastic vacuum model and dual superconductor
• Analyzing the semileptonic and nonleptonic $B_c\to J/\psi ,{\eta }_c$ decays
• Measurement of eta_c(1S), eta_c(2S) and non-resonant eta' pi+ pi- production via two-photon collisions
• OSEFT or how to go beyond hard thermal loops
• Phenomenology of a pseudoscalar glueball and charmed mesons
• Study of the ${\rm Y}(1S)$ $\to$ $B_c{D}_s^{\ast }$ decay with pQCD approach
• From perturbative calculations of the QCD static potential towards four-loop pole-running heavy quarks masses relation
• Anatomy of String Breaking in QCD
• Reanalysis of the top-quark pair production via the $e^{+}{e}^{-}$ annihilation near the threshold region up to N${}^3$LO QCD corrections
• Static quark anti-quark interactions at non-zero temperature from lattice QCD
• Holographic Lifshitz flows
• $J/\psi$ $\to$ $D_{s,d}\pi$, $D_{s,d}K$ decays with perturbative QCD approach
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• ${\rm Y}(nS)$ $\to$ $B_c\rho$, $B_c{K}^{\ast }$ decays with perturbative QCD approach
• Exclusive production of $B_c$ mesons in $e^{+}{e}^{-}$ colliders
• Study of $J/\psi$ $\to$ $D_{s,d}V$ decays with perturbative QCD approach
• Polarization observables in semileptonic $V\to P$ decays of quarkonia
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
• UV contributions to energy of a static quark-antiquark pair in large ${\beta }_0$ approximation
• Spin-String Interaction in QCD Strings
• pNRQCD determination of E1 radiative transitions
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• A Study of Power Suppressed Contributions in $J/\psi \to p\bar{p}$ Decay
• Study of the $\psi (1S,2S)$ and ${\eta }_c(1S,2S)$ weak decays into $DM$
• Parton distribution functions of ground state mesons composed of $c$ or $b$ quarks
• Heavy Quarkonium Physics from Effective Field Theories
• Quarkonium production and suppression: Theory
• Overview of charmonium decays and production from Non-Relativistic QCD
• Experimental Review of the Quarkonium Physics at the LHC
• Calculating the gauge-invariant two-point correlation function of gluonic field strengths
• Quark-antiquark static energy from a restricted Fourier transform
• Quarkonium Phenomenology from a Generalised Gauss Law
• Study on the ${\rm Y}(1S)$ $\to$ $B_{c}M$ weak decays
• Polarized Dissociation and Spin Alignment of Moving Quarkonium in Quark-Gluon Plasma
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Exploring correlations in the stochastic Yang-Mills vacuum
• Resummation and renormalization of kinematical effects in inclusive $P$-wave quarkonium production
• Defect Theory of Positronium and Nontrivial QED Relations
• Combined fixed-order and effective-theory approach to $b\bar{b}$ sum rules
• Exclusive decays of χ_{bJ} and η_b into two charmed mesons
• Quarkonia at $T>0$ and lattice QCD
• Study on the ${\rm Y}(1S)$ $\to$ $B_c{D}_s$ decay
• Bottomonium observables in an open quantum system using the quantum trajectories method
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Conformal Anomaly in Yang-Mills Theory and Thermodynamics of Open Confining Strings
• Heavy Quark and Quarkonium Transport in High Energy Nuclear Collisions
• Effective field theories for baryons with two- and three-heavy quarks
• Rare few-body decays of the Standard Model Higgs boson
• Influence of a nontrivial Polyakov loop on the quarkonium states
• Quarkonium dissociation in a thermal bath
• Radiative decays ${\chi }_{cJ}\to V\gamma$ within the QCD factorisation framework
• Non-relativistic particles in a thermal bath
• Dirac Equation Solution with Generalized tanh-Shaped Hyperbolic Potential: Application to Charmonium and Bottomonium Mass Spectra
• Renormalization group analysis of electromagnetic properties of the deuteron
• A Modern View of Perturbative QCD and Application to Heavy Quarkonium Systems
• Determination of electric dipole transitions in heavy quarkonia using potential non-relativistic QCD
• The $B^{-}\to J/\psi {\eta }^{\prime }{K}^{-}$ reaction and the $Y(4710)$ and $K_0^{\ast }(1430)$ contributions
• Re-study on the contribution of scalar potential and spectra of $c\bar{c}$, $b\bar{b}$ and $b\bar{c}(\bar{b}c)$ families
• QCD bound states in motion
• Hadronic and radiative decays of the tau lepton
• Beauty Hadron Spectrum in a Screened Potential Model
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• QCD static force in gradient flow
• Angular Momentum in Non-Relativistic QED and Photon Contribution to Spin of Hydrogen Atom
• Mass shifts of ${}^3{P}_J$ heavy quarkonia due to the effect of two-gluon annihilation
• Quarkonium in a viscous QGP
• Heavy Quarkonium at finite temperature and chemical potential
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach
• Hybrid to Quarkonia transitions
• Low-energy QCD and hadronic structure
• Non-relativistic Effective Quantum Mechanics of the Coulomb Interaction
• The ${\rm Y}(nS)$ $\to$ $B_c^{\ast }\pi$, $B_c^{\ast }K$ decays with perturbative QCD approach
• Quark-quark-gluon vertex for heavy quarks up to order 1/m^5
• Heavy baryons in the large Nc limit
• Effective field theory investigations of the XYZ puzzle
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• Two-photon exchange in leptophilic dark matter scenarios
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
• In-medium heavy-quarkonium from lattice QCD spectral functions
• Quarkonium Production in the QGP
• Forward-backward asymmetries of the heavy quark pair production in $e^{+}{e}^{-}$ collisions at $\mathcal{O}({\alpha }_s^2)$
• Transport coefficients of heavy quarkonia comparing with heavy quark coefficients
• Effective Field Theories for Dark Matter Pairs in the Early Universe
• Non-Markovian dynamics of bottomonia in the QGP
• Quarkonium production in pNRQCD: the $P$-wave case
• Nonequilibrium evolution of quarkonium in medium
• Lattice and renormalons in heavy quark physics
• Discovery of XYZ particles at the BESIII Experiment
• A study of potential non-relativistic QED pairs in the Keldysh-Schwinger formalism
• An Effective Field Theory study of medium heavy quark evolution
• Long and short distance behavior of the imaginary part of the heavy-quark potential
• The ${\rm Y}(nS)$ $\to$ $B_c{D}_s$, $B_c{D}_d$ decays with perturbative QCD approach
• In-medium Y(1S,2S,3S) suppression in Pb-Pb collisions at sqrt(s_NN)=5.02 TeV
• Wilson loops with neural networks