Radiative corrections to pion Compton scattering

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dc.creatorKaiser, N.
dc.creatorFriedrich, J. M.
dc.date2008-06-16
dc.date2008-08-07
dc.date.accessioned2026-07-07T11:51:43Z
dc.date.available2026-07-07T11:51:43Z
dc.descriptionWe calculate the one-photon loop radiative corrections to charged pion Compton scattering, $π^- γ\to π^- γ$. Ultraviolet and infrared divergencies are both treated in dimensional regularization. Analytical expressions for the ${\cal O}(α)$ corrections to the invariant Compton scattering amplitudes, $A(s,u)$ and $B(s,u)$, are presented for 11 classes of contributing one-loop diagrams. Infrared finiteness of the virtual radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy threshold $λ$, and its relation to the experimental detection threshold is discussed. We find that the radiative corrections are maximal in backward directions, reaching e.g. -2.4% for a center-of-mass energy of $\sqrt{s}=4m_π$ and $λ=5 $MeV. Furthermore, we extend our calculation of the radiative corrections by including the leading pion structure effect (at low energies) in form of its electric and magnetic polarizability difference, $α_π- β_π\simeq 6\cdot 10^{-4} $fm$^3$. We find that this structure effect does not change the relative size and angular dependence of the radiative corrections to pion Compton scattering. Our results are particularly relevant for analyzing the COMPASS experiment at CERN which aims at measuring the pion electric and magnetic polarizabilities with high statistics using the Primakoff effect.
dc.description14 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0806.2614
dc.identifierhttp://arxiv.org/abs/0806.2614
dc.identifierNucl.Phys.A812:186-200,2008
dc.identifierdoi:10.1016/j.nuclphysa.2008.08.010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203995
dc.subjectNuclear Theory
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleRadiative corrections to pion Compton scattering
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