Higher Twist Distribution Amplitudes of the Nucleon in QCD

Abstract

We present the first systematic study of higher-twist light-cone distribution amplitudes of the nucleon in QCD. We find that the valence three-quark state is described at small transverse separations by eight independent distribution amplitudes. One of them is leading twist-3, three distributions are twist-4 and twist-5, respectively, and one is twist-6. A complete set of distribution amplitudes is constructed, which satisfies equations of motion and constraints that follow from conformal expansion. Nonperturbative input parameters are estimated from QCD sum rules.

29 pages, 4 figures, eqn in (3.19) corrected, table 3 accordingly changed, some typos fixed

References in corpus (21)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Formalism and Twist Three Distributions
• Exclusive Semileptonic and Rare B-Meson Decays in QCD
• Theoretical Update of Pseudoscalar Meson Distribution Amplitudes of Higher Twist: The Nonsinglet Case
• Baryon Distribution Amplitudes in QCD
• Higher Twist Distribution Amplitudes of Vector Mesons in QCD: Twist-4 Distributions and Meson Mass Corrections
• Nonforward parton densities and soft mechanism for form factors and wide-angle Compton scattering in QCD
• Linking Parton Distributions to Form Factors and Compton Scattering
• Broken conformal invariance and spectrum of anomalous dimensions in QCD
• Pion Form Factor in QCD at Intermediate Momentum Transfers
• Use and Misuse of QCD Sum Rules in Heavy-to-light Transitions: the Decay $B\to \rho e\nu$ Reexamined
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• The Evolution of the Pion Distribution Amplitude in Next-to-Leading Order
• The $\rho$-meson and related meson wave functions in QCD sum rules with nonlocal condensates
• Nucleon Properties from Unconventional Interpolating Fields
• Restricted conformal invariance in QCD and its predictive power for virtual two-photon processes
• Hadronic Form Factors and Perturbative QCD
• Virtual Compton Scattering Off Protons at Moderately Large Momentum Transfer
• Q^2-Evolution of Nucleon's Chiral-Odd Twist-3 Structure Function: h_L(x,Q^2)
• Soft Contribution to Form Factors of ${\gamma }^{\ast }p\to {\Delta }^{+}$ Transition
• Probing the nucleon at large momentum tramsfer

Cited by in corpus (125)

• Generalized Parton Distributions
• Unraveling hadron structure with generalized parton distributions
• Parton Distribution Functions, ${\alpha }_s$ and Heavy-Quark Masses for LHC Run II
• The Uses of Conformal Symmetry in QCD
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Exclusive processes in position space and the pion distribution amplitude
• Perturbative QCD Analysis of the Nucleon's Pauli Form Factor F_2(Q^2)
• Nucleon Form Factors in QCD
• Transverse momentum dependent parton distributions in a light-cone quark model
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Form Factors and Strong Couplings of Heavy Baryons from QCD Light-Cone Sum Rules
• Form Factors for Lambda_b -> Lambda Transitions in SCET
• The Theory of Deeply Inelastic Scattering
• Light-Cone Sum Rules for the Nucleon Form Factors
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• Analysis of the $Λ_{b}\rar Λ\ell^+\ell^- $ decay in QCD
• Rare Decays of Λ_b->Λ+ γand Λ_b ->Λ+ l^{+} l^{-} in the Light-cone Sum Rules
• Azimuthal spin asymmetries in light-cone constituent quark models
• Three-Quark Light-Cone Amplitudes of The Proton And Quark-Orbital-Motion Dependent Observables
• Anatomy of the pQCD Approach to the Baryonic Decays ${\Lambda }_b\to p\pi ,pK$
• Generalized Parton Distributions at x->1
• Two-photon exchange in elastic electron-proton scattering : QCD factorization approach
• QCD analysis of bar p N -> gamma* pi in the scaling limit
• Counting Rule for Hadronic Light-Cone Wave Functions
• Heavy-to-light baryonic form factors at large recoil
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Baryon Operators of Higher Twist in QCD and Nucleon Distribution Amplitudes
• Distribution Amplitudes of the Lambda_b Baryon in QCD
• Nucleon distribution amplitudes and proton decay matrix elements on the lattice
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• Nucleon Form Factors and Distribution Amplitudes in QCD
• Classification and Asymptotic Scaling of Hadron Light-Cone Wave-Function Amplitudes
• Light cone QCD sum rules study of the semileptonic heavy ${\Xi }_Q$ and ${\Xi }_Q^{\prime }$ transitions to $\Xi$ and $\Sigma$ baryons
• Improved Light-Cone Sum Rules for the Electromagnetic Form Factors of the Nucleon
• Renormalization of Twist-Four Operators in QCD
• Perturbative QCD Analysis of Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• Distribution amplitudes of $\Sigma$ and $\Lambda$ and their electromagnetic form factors
• How much charm can PANDA produce?
• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
• Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
• Light-cone QCD sum rules for the semileptonic decay Lambda_b --> p lepton anti-neutrino
• Higher twist parton distributions from light-cone wave functions
• Weak decays of doubly heavy baryons: "decay constants"
• Gluon Gravitational Form Factors at Large Momentum Transfer
• Perturbative Calculations of Gravitational Form Factors at Large Momentum Transfer
• Nucleon distribution amplitudes from lattice QCD
• Electroproduction of the N*(1535) resonance at large momentum transfer
• Near Threshold Heavy Quarkonium Photoproduction at Large Momentum Transfer
• Parton distribution amplitudes: revealing diquarks in the proton and Roper resonance
• The Nucleon Distribution Amplitudes and their application to nucleon form factors and the $N\to \Delta$ transition at intermediate values of $Q^2$
• Light-cone distribution amplitudes of the baryon octet
• Electroproduction of the $N^{\ast }(1535)$ nucleon resonance in QCD
• Renormalon approach to higher-twist distribution amplitudes and the convergence of the conformal expansion
• Single Transverse-Spin Asymmetries at Large-x
• Semileptonic ${\Lambda }_{b,c}$ to Nucleon Transitions in Full QCD at Light Cone
• Soft spectator scattering in the nucleon form factors at large $Q^2$ within the SCET approach
• Rare decays of ${\Lambda }_b\to \Lambda \gamma$ and ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$ in universal extra dimension model
• Improved analysis on the semi-leptonic decay ${\Lambda }_c\to \Lambda {\ell }^{+}\nu$ from QCD light-cone sum rules
• ${\Lambda }_b\to p$ transition form factors in perturbative QCD
• Light-cone Distribution Amplitudes of Xi and their Applications
• Two-loop renormalization of three-quark operators in QCD
• Parton content of the nucleon from distribution amplitudes and transition distribution amplitudes
• Transition distribution amplitudes and hard exclusive reactions with baryon number transfer
• Deep Inelastic Pion Electroproduction at Threshold
• Light-cone distribution amplitudes of a light baryon in large-momentum effective theory
• Electromagnetic form factors of the $\Lambda$ and $\Sigma$ baryons in an alternative baryonic current approach
• Axial form-factor and induced pseudoscalar form-factor of the nucleons
• Nucleon Electromagnetic Form Factors in QCD
• Chiral extrapolation of nucleon wave function normalization constants
• Improved Light-cone QCD Sum Rule Analysis Of The Rare Decays ${\Lambda }_b\to \Lambda \gamma$ And ${\Lambda }_b\to \Lambda l^{+}{l}^{-}$
• Probing Quark Distribution Amplitudes Through Generalized Parton Distributions at Large Momentum Transfer
• Backward DVCS and Proton to Photon Transition Distribution Amplitudes
• Extraction of beam-spin asymmetries from the hard exclusive ${\pi }^{+}$ channel off protons in a wide range of kinematics
• Model-independent calculation of $SU(3{)}_f$ violation in baryon octet light-cone distribution amplitudes
• Delta-to-N-gamma Coulomb Quadrupole Amplitude in PQCD
• Light Cone QCD Sum Rules Analysis of the Axial N -> Delta Transition Form Factors
• Nucleon tensor form factors induced by isovector and isoscalar currents in QCD
• Isovector axial-vector form factors of octet baryons in QCD
• Nucleon Form Factors to Next-to-Leading Order with Light-Cone Sum Rules
• Drell-Yan Lepton Pair Azimuthal Asymmetry in Hadronic Processes
• Analysis of the semileptonic decay Λ_c->ne^+ν_e
• Tensor form factors of nucleon in QCD
• Analysis of the $\Sigma -n$ form factors with light-cone QCD sum rules
• Light-cone QCD Sum Rules for the $\Lambda$ Baryon Electromagnetic Form Factors and its magnetic moment
• The exclusive rare decay b->s gamma of heavy b-Baryons
• Light-cone sum rules for the $N\gamma \Delta$ transitions for real photons
• Higher order light-cone distribution amplitudes of the Lambda baryon
• Scalar form-factor of the proton with light-cone QCD sum rules
• Semileptonic transition of ${\Sigma }_b$ to $\Sigma$ in Light Cone QCD Sum Rules
• Nucleon form factors induced by isovector and isoscalar axial-vector currents in QCD
• Charmonium decays of beauty baryons in the perturbative QCD approach
• Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD
• Electromagnetic form factors of octet baryons in QCD
• The nucleon wave function at the origin
• Axial vector transition form factors of $N\to \Delta$ in QCD
• Higher twist nucleon distribution amplitudes in Wandzura-Wilczek approximation
• Baryon scattering at high energies: wave function, impact factor, and gluon radiation
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• Isovector axial vector and pseudoscalar transition form factors of $\Delta$ in QCD
• Scalar form factor of the nucleon and nucleon--scalar meson coupling constant in QCD
• Gluon gravitational form factors of protons from charmonium photoproduction
• Tree Level Semileptonic ${\Sigma }_b$ to Nucleon Decay in Light Cone QCD Sum Rules
• Study of Two-Photon Corrections in the $p\bar{p}-->e+e-$ Process: Hard Rescattering Mechanism
• Twist-four Corrections to Parity-Violating Electron-Deuteron Scattering
• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Electromagnetic transitions among octet and decuplet baryons in QCD
• $N^{\ast }(1535)\to N$ transition form-factors due to the axial current
• Baryon octet distribution amplitudes in Wandzura-Wilczek approximation
• Higher Order Corrections to the Light-cone Distribution Amplitudes of the Sigma baryon
• Form factors for the rare $Λ_{b}(Λ_{b}^*)\rar N\ell^+\ell^- $ decays in light cone QCD sum rules
• Study of the ${\Lambda }_b\to N^{\ast }{\ell }^{+}{\ell }^{-}$ decay in light cone sum rules
• Flavor Changing Neutral Currents Transition of the ${\Sigma }_Q$ to Nucleon in Full QCD and Heavy Quark Effective Theory
• Baryon decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework
• Semileptonic Decay of ${\Xi }_c\to \Xi {\ell }^{+}{\nu }_{\ell }$ From Light-Cone QCD Sum Rules
• Two-Photon Effects in Lepton-AntiLepton Pair Photoproduction from a Nucleon Target using Real Photons
• Nucleon viewed as a Borromean Bound-State
• ${\gamma }^{\ast }N\to {\Delta }^{+}(1600)$ transition form factors in light-cone sum rules
• Light Cone Sum Rules and Form Factors for $p\to e^{+}\gamma$
• Semileptonic neutral current decays of ${\Xi }_b$ with dileptons or dineutrinos in the final state
• Semileptonic decay of double strangeness heavy flavor baryons
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon
• Light-cone sum rule approach for Baryon form factors
• Hybrid renormalization in lattice calculation of baryon LCDAs
• Wave functions of the nucleon and its parity partner from lattice QCD
• A description of charmonia decays $J/\psi \to B\bar{B}$ within the QCD factorisation framework