Generalized dipole polarizabilities of the pion

Details Generalized dipole polarizabilities of the pion Generalized dipole polarizabilities of the pion

1999-07-19

arxiv.org/abs/hep-ph/9907416v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Latex2e, 5 postscript figures, uses ws-p8-50x6-00.cls, invited talk at the 2nd International Conference on Perspecti

Scientific paper

We discuss the virtual Compton scattering amplitude $\gamma^\ast+\pi\to \gamma+\pi$ which enters the reaction $\pi^-+e^-\to\pi^-+e^-+\gamma$. The low-energy scattering amplitude is divided into a model-independent part, involving only the electromagnetic form factor, and a residual part which contains structure information related specifically to (virtual) Compton scattering. In the limit of vanishing final-photon energy, the residual amplitude can be expressed in terms of three generalized dipole polarizabilities which are functions of the squared virtual-photon four-momentum. We study the VCS amplitude in the framework of chiral perturbation theory at ${\cal O}(p^4)$. At the one-loop level the generalized dipole polarizabilities are degenerate $\alpha_L(q^2)=\alpha_T(q^2)=-\beta(q^2)$.

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