6533b7cffe1ef96bd12597fd

RESEARCH PRODUCT

Pion generalized dipole polarizabilities by virtual Compton scatteringπe→πeγ

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description

We present a calculation of the cross section and the event generator of the reaction $\ensuremath{\pi}e\ensuremath{\rightarrow}\ensuremath{\pi}e\ensuremath{\gamma}.$ This reaction is sensitive to the pion generalized dipole polarizabilities, namely, the longitudinal electric ${\ensuremath{\alpha}}_{L}{(q}^{2}),$ the transverse electric ${\ensuremath{\alpha}}_{T}{(q}^{2}),$ and the magnetic $\ensuremath{\beta}{(q}^{2})$ which, in the real-photon limit, reduce to the ordinary electric and magnetic polarizabilities $\overline{\ensuremath{\alpha}}$ and $\overline{\ensuremath{\beta}},$ respectively. The calculation of the cross section is done in the framework of chiral perturbation theory at $\mathcal{O}{(p}^{4}).$ A pion virtual Compton scattering event generator has been written which is ready for implementation in GEANT simulation codes or for independent use.