Pion transition form factor in the constituent quark model

TL;DR

This paper calculates the neutral pion transition form factor using a constituent quark model with momentum-independent parameters, including radiative corrections, and compares results with experimental data.

Contribution

It introduces a calculation of the pion transition form factor incorporating radiative corrections within a constituent quark model and applies Sudakov resummation for the virtual photon vertex.

Findings

Results agree with experimental data from CELLO, CLEO, BaBar, and Belle.

Radiative corrections significantly impact the form factor calculations.

The model effectively describes the pion transition form factor across various momentum ranges.

Abstract

We calculate the transition form factor of the neutral pion where one photon is virtual and another photon is real in the model where the light constituent quark mass and the quark-pion vertex are taken to be momentum independent. Radiative corrections to the lowest order triangle quark Feynman amplitude are calculated. The resummation of the lowest radiative corrections to the virtual photon vertex is done by applying the Sudakov exponential hypothesis. Using fitting parameters, the quark mass and the strong coupling constant, the results on the pion transition form factor are compared with existing data published by CELLO, CLEO, BaBar and Belle collaborations.