Pion transition form factor in the Domain model of QCD vacuum

Abstract

Domain model of QCD allows for description of wide range of meson observables, dynamical chiral symmetry breaking, and resolution of $U_A(1)$ and strong $CP$ problems. The purpose of the present study is transition form-factor of neutral pseudoscalar mesons, and how they are influenced by the typical vacuum configurations of the model -- almost everywhere homogeneous Abelian (anti-)self-dual fields. Asymptotic behavior of the calculated pion form-factor supports Belle trend, but the asymptotic value of $Q^2{F}_{\pi {\gamma }^{\ast }\gamma }$ differs from the prediction of factorization theorems.

Talk given at The XXIII International Baldin Seminar on High Energy Physics Problems "Relativistic Nuclear Physics and Quantum Chromodynamics", September 19 to 24, 2016, Dubna (Russia); 4 pages, 3 figures

References in corpus (7)

• Big-Bang Nucleosynthesis
• Measurement of the gamma gamma* --> pi0 transition form factor
• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Regge spectra of excited mesons, harmonic confinement and QCD vacuum structure
• Meson Decays in an Extended Nambu--Jona-Lasinio model with Heavy Quark Flavors
• Gluonic components of the pion and the transition form factor ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$