Radiative corrections to pion-nucleus bremsstrahlung

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dc.creatorKaiser, N.
dc.creatorFriedrich, J. M.
dc.date2008-11-10
dc.date.accessioned2026-07-07T12:43:18Z
dc.date.available2026-07-07T12:43:18Z
dc.descriptionWe calculate the one-photon loop radiative corrections to virtual pion Compton scattering $π^- γ^* \to π^- γ$, that subprocess which determines in the one-photon exchange approximation the pion-nucleus bremsstrahlung reaction $π^- Z\to π^- Z γ$. Ultraviolet and infrared divergencies of the loop integrals are both treated by dimensional regularization. Analytical expressions for the ${\cal O}(α)$ corrections to the virtual Compton scattering amplitudes, $A(s,u,Q)$ and $B(s,u,Q)$, are derived with their full dependence on the (small) photon virtuality $Q$ from 9 classes of contributing one-loop diagrams. Infrared finiteness of these virtual radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy cut-off $λ$. In the region of low $π^- γ$ center-of-mass energies, where the pion-nucleus bremsstrahlung process is used to extract the pion electric and magnetic polarizabilities, we find radiative corrections up to about -3% for $λ=5 $MeV. Furthermore, we extend our calculation of the radiative corrections to virtual pion Compton scattering $π^-γ^* \to π^- γ$ by including the leading pion structure effect in form of the polarizability difference $α_π- β_π$. Our analytical results are particularly relevant for analyzing the data of the COMPASS experiment at CERN which aims at measuring the pion electric and magnetic polarizabilities with high statistics using the Primakoff effect.
dc.description15 pages, 16 figures, accepted for publication in European Physical Journal A
dc.identifierhttps://arxiv.org/abs/0811.1434
dc.identifierhttp://arxiv.org/abs/0811.1434
dc.identifierEur.Phys.J.A39:71-80,2009
dc.identifierdoi:10.1140/epja/i2008-10688-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220375
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRadiative corrections to pion-nucleus bremsstrahlung
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