Radiative corrections to neutral pion-pair production |
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Authors: | N Kaiser |
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Institution: | 1.Physik-Department T39,Technische Universit?t München,Garching,Germany |
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Abstract: | We calculate the one-photon loop radiative corrections to the neutral pion-pair photoproduction process p-g ?p-p0p0\pi^-\gamma \ensuremath \rightarrow\pi^-\pi^0\pi^0 . At leading order this reaction is governed by the chiral pion-pion interaction. Since the chiral p+ \pi^{+}_{}
p- \pi^{-}_{}
? \rightarrow
p0 \pi^{0}_{}
p0 \pi^{0}_{} 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 R ~ a/2p\ensuremath R\sim \alpha/2\pi 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 l \lambda . The radiative corrections to the total cross-section vary between +2% and -2% for center-of-mass energies from threshold
up to 7mp\ensuremath 7m_{\pi} . We study also the radiative corrections to the p0p0\ensuremath \pi^0\pi^0 mass spectrum. |
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Keywords: | |
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