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Extending the light cone sum rule method to the electromagnetic pion form factor at low momenta using QCD renormalization-group summation

César Ayala1,*, S. V. Mikhailov2,†, and A. V. Pimikov2,‡

  • 1Departamento de Ingeniería y Tecnologías, Sede La Tirana, Universidad de Tarapacá, Avenida La Tirana 4802, Iquique, Chile
  • 2Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia

  • *Contact author: cayalan@academicos.uta.cl
  • †Contact author: mikhs@theor.jinr.ru
  • ‡Contact author: pimikov@mail.ru
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Phys. Rev. D 113, 016009 – Published 8 January, 2026

DOI: https://doi.org/10.1103/jc6c-rxkx

Abstract

We obtain the electromagnetic pion form factor (emFF) Fπ for spacelike midrange of momentum transfer in quantum chromodynamics (QCD). We use renormalization group (RG) summation within the light cone sum rules (LCSRs) to obtain the QCD radiative corrections to the Fπ and involve contributions of the leading twist 2 and, twists 4, 6. The additional conditions to apply here this RG summation are discussed in details. The strong coupling constants in this approach are free of Landau singularities, which allows one to go down to the lower transferred momentum Q2. The prediction of the calculations performed reproduces the experimental data below/around Q2=1  GeV2 significantly better than analogous predictions based on a fixed-order power-series expansion in the standard QCD.

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Phys. Rev. D 113, 016009– Published 8 January, 2026
  • Received 4 July 2025
  • Accepted 19 December 2025
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