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Pion to Photon Transition Form Factors with Basis Light-front Quantization by Mondal, Chandan; Nair, Sreeraj; Jia, Shaoyang; Zhao, Xingbo; Vary, James P. is a scholarly article available to read on EtoBox.

What is Pion to Photon Transition Form Factors with Basis Light-front Quantization about?

We obtain the distribution amplitude (DA) of the pion from its light-front wave functions in the basis light-front quantization framework. This light-front wave function of the pion is given by the lowest eigenvector of a light-front effective Hamiltonian consisting a three-dimensional confinement potential and the color-singlet Nambu--Jona-Lasinion interaction both between the constituent quark and antiquark. The quantum chromodynamics (QCD) evolution of the DA is subsequently given by the perturbative Efremov-Radyushkin-Brodsky-Lepage evolution equation. Based on this DA, we then evaluate the singly and doubly virtual transition form factors in the space-like region for $\pi^0\rightarrow \gamma^*\gamma$ and $\pi^0\rightarrow \gamma^*\gamma^*$ processes using the hard-scattering formalism. Our prediction for the pion-photon transition form factor agrees well with data reported by the Belle Collaboration. However, in the large $Q^2$ region it deviates from the rapid growth reported by the BaBar Collaboration. Meanwhile, our result on the $\pi^0\rightarrow \gamma^*\gamma^*$ transition form factor is also consistent with other theoretical approaches and agrees with the scaling behavi

Author
Mondal, Chandan; Nair, Sreeraj; Jia, Shaoyang; Zhao, Xingbo; Vary, James P.
Published
2021
Language
EN

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