An updated determination of the pion-photon transition form factor

Abstract

In this paper, we study the properties of the pion-photon transition form factor (TFF), $\gamma {\gamma }^{\ast }\to {\pi }^0$, by using the principle of maximum commonality (PMC) to deal with its perturbative QCD contribution up to next-to-next-to-leading order (NNLO) QCD corrections. Applying the PMC, we achieve precise pQCD approximant for the TFF in large $Q^2$-region without conventional renormalization scale ambiguity. We also discuss the power suppressed non-valence quark contribution to the TFF, which is important for a sound prediction in low and intermediate $Q^2$-region, e.g. the non-valence quark components affect the TFF by about $1\%$ to $23\%$ when $Q^2$ changes down from $40\mathrm{Ge}{\mathrm{V}}^2$ to $4\mathrm{Ge}{\mathrm{V}}^2$. The resultant pion-photon TFF shows a better agreement with previous Belle data. It is hoped that previous discrepancies between the experimental measurements and theoretical predictions could be clarified by the forth-coming precise data on the Belle II measurements.

arXiv comment7 pages, 6 figures

References in corpus (44)

• Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
• Scaling Limit of Deeply Virtual Compton Scattering
• The Belle II Physics Book
• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Dispersion relation for hadronic light-by-light scattering: pion pole
• 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
• A Systematic All-Orders Method to Eliminate Renormalization-Scale and Scheme Ambiguities in PQCD
• Dispersive approach to hadronic light-by-light scattering
• Systematic Scale-Setting to All Orders: The Principle of Maximum Conformality and Commensurate Scale Relations
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Eliminating the Renormalization Scale Ambiguity for Top-Pair Production Using the Principle of Maximum Conformality
• Scale Setting Using the Extended Renormalization Group and the Principle of Maximum Conformality: the QCD Coupling Constant at Four Loops
• The Renormalization Scale-Setting Problem in QCD
• Pion Form Factor in QCD at Intermediate Momentum Transfers
• Setting the Renormalization Scale in QCD: The Principle of Maximum Conformality
• Shape of Pion Distribution Amplitude
• Transverse Momentum and Sudakov Effects in Exclusive QCD Processes: gamma* gamma pi0 Form Factor
• Structure of the neutral pion and its electromagnetic transition form factor
• Light-cone distribution amplitudes of pseudoscalar mesons from lattice QCD
• Renormalization Group Invariance and Optimal QCD Renormalization Scale-Setting
• Next-to-next-to-leading order prediction for the photon-to-pion transition form factor
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• The QCD Renormalization Group Equation and the Elimination of Fixed-Order Scheme-and-Scale Ambiguities Using the Principle of Maximum Conformality
• Partonic structure of neutral pseudoscalars via two photon transition form factors
• BLM scale for the pion transition form factor
• Novel All-Orders Single-Scale Approach to QCD Renormalization Scale-Setting
• Reanalysis of the BFKL Pomeron at the next-to-leading logarithmic accuracy
• Joint resummation for pion wave function and pion transition form factor
• Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules
• An improved light-cone harmonic oscillator model for the pionic leading-twist distribution amplitude
• The pion light-cone distribution amplitude from the pion electromagnetic form factor
• A novel demonstration of the renormalization group invariance of the fixed-order predictions using the principle of maximum conformality and the $C$-scheme coupling
• Determination of the pion distribution amplitude
• Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Application of the Principle of Maximum Conformality to the Top-Quark Charge Asymmetry at the LHC
• The axial-vector contributions in two-photon reactions: pion transition form factor and deeply-virtual Compton scattering at NNLO in QCD
• A Comprehensive Analysis on the Pion-Photon Transition Form Factor Beyond the Leading Fock State
• Application of the Principle of Maximum Conformality to the Hadroproduction of the Higgs Boson at the LHC
• Constraint of $\xi$-moments calculated with QCD sum rules on the pion distribution amplitude models