Calculation of the pion-photon transition form factor using dispersion relations and renormalization-group summation

Abstract

We consider the lightcone sum-rule description of the pion-photon transition form factor, based on dispersion relations, in combination with the renormalization group of QCD, in terms of the formal solution of the Efremov-Radyushkin-Brodsky-Lepage evolution equation, and show that the emerging scheme amounts to a certain version of Fractional Analytic Perturbation Theory (FAPT). In order to ensure the correct asymptotic behavior of the considered physical quantity, this modified FAPT version has to be supplemented by process-specific boundary conditions---in contrast to the standard one. However, it provides the advantage of significantly improving the inclusion of radiative corrections in the low-momentum regime of QCD perturbation theory using renormalization-group summation.

arXiv comment21 pages, 7 figures. This version implements the Erratum published in Phys. Rev. D 101,059901(E)(2020). The figures have been updated accordingly

References in corpus (52)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Measurement of the gamma gamma* --> pi0 transition form factor
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• QCD-based pion distribution amplitudes confronting experimental data
• Moments of pseudoscalar meson distribution amplitudes from the lattice
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Meson Transition Form Factors in Light-Front Holographic QCD
• Evolved QCD predictions for the meson-photon transition form factors
• Pion form factor in QCD: From nonlocal condensates to NLO analytic perturbation theory
• Unbiased analysis of CLEO data at NLO and pion distribution amplitude
• Structure of the neutral pion and its electromagnetic transition form factor
• Perturbative Effects in the Form Factor γγ^*\to πand Extraction of the Pion Wave Function from CLEO Data
• Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Ten years of the Analytic Perturbation Theory in QCD
• Analytic Invariant Charge in QCD
• Analytic coupling and Sudakov effects in exclusive processes: pion and ${\gamma }^{\ast }\gamma \to {\pi }^0$ form factors
• Quark-antiquark potential in the analytic approach to QCD
• Next-to-next-to-leading order prediction for the photon-to-pion transition form factor
• Second Moment of the Pion Light-cone Distribution Amplitude from Lattice QCD
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• Comparing antithetic trends of data for the pion-photon transition form factor
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Fractional Analytic Perturbation Theory in Minkowski space and application to Higgs boson decay into a b\bar{b} pair
• Pion-photon transition---the new QCD frontier
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• Pion form factors with improved infrared factorization
• Global Fractional Analytic Perturbation Theory in QCD with Selected Applications
• Taming Landau singularities in QCD perturbation theory: The analytic approach 2.0
• Analogs of noninteger powers in general analytic QCD
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Lattice measurements of nonlocal quark condensates, vacuum correlation length, and pion distribution amplitude in QCD
• Distribution amplitudes of light-quark mesons from lattice QCD
• Analyticity and power corrections in hard-scattering hadronic functions
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• Analytic Perturbation Theory: A New Approach to the Analytic Continuation of the Strong Coupling Constant ${\alpha }_S$ into the Timelike Region
• Analytic Approach to Perturbative QCD
• Second moment of the pion distribution amplitude with the momentum smearing technique
• Chimera distribution amplitudes for the pion and the longitudinally polarized $\rho$-meson
• Analyticity properties of three-point functions in QCD beyond leading order
• What binds quarks together at different momentum scales? A conceptual scenario
• Electron-positron annihilation into hadrons at the higher-loop levels
• Lattice-motivated holomorphic nearly perturbative QCD
• Deep inside the pion. Reconciling QCD theory with data
• On the pion distribution amplitude. Derivation, properties, predictions
• Improved estimates of the pion-photon transition form factor in the $(1\le {\mathbf{Q}}^2\le 5)$~GeV${}^2$ range and their theoretical uncertainties

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• Pion-photon transition form factor in LCSR and tests of asymptotics
• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region
• Extending the application of the LCSR method to low momenta using QCD renormalization-group summation. Theory and phenomenology
• Power Corrections to Pion Transition Form Factor in Perturbative QCD Approach
• Renormalon-based resummation for spacelike and timelike QCD quantities whose perturbation expansion has general form