@article{10272/25054,
year = {2024},
month = {12},
url = {https://hdl.handle.net/10272/25054},
abstract = {Based upon a combined formalism of Schwinger-Dyson and Bethe-Salpeter equations in quantum chromodynamics (QCD), we propose a QCD kindred algebraic model for the dressed quark propagator, for the Bethe-Salpeter amplitude of the pion and the electromagnetic quark-photon interaction vertex. We then compute the γ∗π0γ transition form factor Gγ∗π0γ(Q2) for a wide range of photon momentum transfer squared Q2. The quark propagator is expanded out in its perturbative functional form but with dynamically generated dressed quark mass. It has complex conjugate pole singularities in the complex-momentum plane which is motivated by the solution of the quark gap equation with rainbow-ladder truncation of the infinite set of Schwinger-Dyson equations. This complex pole singularity structure of the quark propagator can be associated with a signal of confinement which prevents quarks to become stable asymptotic states. The Bethe-Salpeter amplitude is expressed without a spectral density function, which encapsulate its low and large momentum behaviour. The QCD evolution of the distribution amplitude is also incorporated into our model through the direct implementation of Efremov-Radyushkin-Brodsky-Lepage evolution equations. We include the effects of the quark anomalous magnetic moment in the description of the quark-photon vertex whose infrared enhancement is known to dictate hadronic properties. Once the QCD kindred model is constructed, we calculate the form factor Gγ∗π0γ(Q2) and find it consistent with direct QCD-based studies as well as most available experimental data. It slightly exceeds the conformal limit for large Q2 which might be attributed to the scaling violations in QCD. The associated interaction radius and neutral pion decay width turn out to be compatible with experimental data.},
organization = {Thiswork is financially supported by the National Natural Science Foundation of China (Grant No. 12135007). A. B.
wishes to acknowledge the Coordinación de la Investigación Científica of the Universidad Michoacana de San Nicolás de
Hidalgo, Morelia, Mexico, Grant No. 4.10, the Consejo Nacional de Humanidades, Ciencias y Tecnologías, Mexico,
Project No. CBF2023-2024-3544, as well as the Beatriz-Galindo support during his current scientific stay at the
University of Huelva, Huelva, Spain.},
publisher = {American Physical Society (APS)},
title = {Neutral pion to two-photons transition form factor revisited},
doi = {2470-0010},
doi = {10.1103/PhysRevD.110.114047},
author = {Sultan, M. Atif and Kang, Jiayin and Bashir, Adnan and Chang, Lei},
}