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arXiv · 1108.5945

Anomalous $AV^*V$ vertex function in the soft-wall holographic model of QCD

P. Colangelo·F. De Fazio·F. Giannuzzi·S. Nicotri·J. J. Sanz-Cillero
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Abstract

We consider the vertex function of two vector and one axial-vector currents using the soft-wall holographic model of QCD with the Chern-Simons term. Two structure functions $w_L$ and $w_T$ describe such a vertex in the special case in which one of the two vector currents corresponds to an on-shell soft photon. We briefly review the QCD results for these functions, obtained from triangular loop diagrams with quarks having mass $m_q=0$ or $m_q \neq 0$, we compute $w_L$ and $w_T$ in the soft-wall model and compare the outcome to the QCD findings. We also calculate and discuss the two-point $Π_{VV}-Π_{AA}$ correlation function, together with a few low-energy constants, which turn out to be close to the QCD results.

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P. Colangelo, F. De Fazio, F. Giannuzzi, S. Nicotri, J. J. Sanz-Cillero. 2012-02-15. Anomalous $AV^*V$ vertex function in the soft-wall holographic model of QCD. https://doi.org/10.1103/physrevd.85.035013

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