Regular Article - Theoretical Physics
Radiative corrections to neutral pion-pair production
Physik-Department T39, Technische Universität München, D-85747, Garching, Germany
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Accepted: 30 September 2010
Published online: 30 October 2010
We calculate the one-photon loop radiative corrections to the neutral pion-pair photoproduction process . At leading order this reaction is governed by the chiral pion-pion interaction. Since the chiral contact vertex depends only on the final-state invariant mass it factors out of all photon loop diagrams. We give analytical expressions for the multiplicative correction factor arising from eight classes of contributing one-photon loop diagrams. An electromagnetic counterterm has to be included in order to cancel the ultraviolet divergences generated by the photon loops. Infrared finiteness of the virtual radiative corrections is achieved (in the standard way) by including soft photon radiation below an energy cut-off . The radiative corrections to the total cross-section vary between +2% and -2% for center-of-mass energies from threshold up to . We study also the radiative corrections to the mass spectrum.
© SIF, Springer-Verlag Berlin Heidelberg, 2010