Analysis of the Pion Electromagnetic Form Factor with Next-to-Next-to-Leading Order QCD Corrections

Abstract

NNLO QCD corrections for the pion electromagnetic form factor at large momentum transfer have been recently performed in [Phys. Rev. Lett. 132, 201901 (2024); Phys. Rev. Lett. 134, 221901 (2025)], revealing that the NLO and NNLO contributions are positive and sizeable. Unfortunately, these predictions have been obtained using the conventional scale-setting method and thus they are plagued by large renormalization scale ambiguities. In this paper, we analyze the pion electromagnetic form factor at NNLO by applying the Principle of Maximum Conformality (PMC), which is introduced with the aim of resolving renormalization scheme and scale ambiguities. By applying the PMC, a more precise perturbative QCD (pQCD) prediction for the pion EMFF \(Q^2F_π(Q^2)\) without conventional renormalization scale ambiguity can be achieved. This improved pQCD prediction is highly beneficial for the precise determination of the pion light-cone distribution amplitude. We then conduct a comprehensive comparison between theoretical predictions and experimental measurements of the pion EMFF \(Q^2F_π(Q^2)\).

published version. 12 pages, 8 figures

References in corpus (17)

• Electron-Ion Collider in China
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• 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
• Lattice Results for Low Moments of Light Meson Distribution Amplitudes
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• The pion form factor from lattice QCD with two dynamical flavours
• Hunting BFKL in semi-hard reactions at the LHC
• High-energy resummation in ${\Lambda }_c$ baryon production
• Diffractive production of $\Lambda$ hyperons in the high-energy limit of strong interactions
• Diffractive semi-hard production of a $J/\psi$ or a ${\rm Y}$ from single-parton fragmentation plus a jet in hybrid factorization
• Bottom-flavored inclusive emissions in the variable-flavor number scheme: A high-energy analysis
• Pion-photon transition form factor in LCSR and tests of asymptotics
• Mueller-Navelet jets at the LHC: hunting data with azimuthal distributions
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data
• Gauge dependence of the perturbative QCD predictions under the momentum space subtraction scheme

Cited by in corpus (1)

• Pion structure in Holographic QCD