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In the presence of a momentum cutoff, effective theories seem unable tofaithfully reproduce the so called chiral anomaly in the Standard Model. Anovel prospect to overcome this related issue is discussed herein via thecalculation of the $\gamma^{*}\pi^0\gamma$ transition form factor, $G^{\gamma^*\pi^0 \gamma}(Q^2)$, whose normalization is intimately connected with thechiral anomaly and dynamical chiral symmetry breaking (DCSB). To compute suchtransition, we employ contact interaction model of Quantum Chromodynamics (QCD)under a modified rainbow ladder truncation, which automatically generates aquark anomalous magnetic moment term, weighted by a strenght parameter $\xi$.This term, whose origin is also connected with DCSB, is interpreted as anadditional interaction that mimics the complex dynamics beyond the cutoff. Byfixing $\xi$ to produce the value of $G^{\gamma^* \pi^0 \gamma}(0)$ dictated bythe chiral anomaly, the computed transition form factor, as well as theinteraction radius and neutral pion decay width, turn out to be comparable withQCD-based studies and experimental data.

The chiral anomaly and the pion transition form factor: beyond the cutoff