Radiative corrections to the charged pion-pair production process {\boldmath$��^-��\to ��^+��^-��^-$} at low energies
| Autor: | Kaiser, N., Petschauer, S. |
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| Rok vydání: | 2013 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1312.0517 |
| Popis: | We calculate the one-photon loop radiative corrections to the charged pion-pair production process $��^-��\to��^+��^-��^-$. In the low-energy region this reaction is governed by the chiral pion-pion interaction. The pertinent set of 42 irreducible photon-loop diagrams is calculated by using the package FeynCalc. Electromagnetic counterterms with two independent low-energy constants $\widehat k_1$ and $\widehat k_2$ are included in order to remove the ultraviolet divergences generated by the photon-loops. Infrared finiteness of the virtual radiative corrections is achieved by including soft photon radiation below an energy cut-off $��$. The purely electromagnetic interaction of the charged pions mediated by one-photon exchange is also taken into account. The radiative corrections to the total cross section (in the isospin limit) vary between $+10\%$ close to threshold and about $-1\%$ at a center-of-mass energy of $7m_��$. The largest contribution comes from the simple one-photon exchange. Radiative corrections to the $��^+��^-$ and $��^-��^-$ mass spectra are studied as well. The Coulomb singularity of the final-state interaction produces a kink in the dipion mass spectra. The virtual radiative corrections to elastic $��^-��^-$ scattering are derived additionally. 19 pages, 17 figures, accepted for publication in Eur. Phys. J. A |
| Databáze: | OpenAIRE |
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