Cusp effects in meson decays
The pion mass difference generates a pronounced cusp in the π0 π0 invariant mass distribution of K+ → π0 π0 π+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave pion–pion scattering lengths to high precision. We present the n...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2010-04-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20100301008 |
| _version_ | 1818823442573557760 |
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| author | Kubis B. |
| author_facet | Kubis B. |
| author_sort | Kubis B. |
| collection | DOAJ |
| description | The pion mass difference generates a pronounced cusp in the π0 π0 invariant mass distribution of K+ → π0 π0 π+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave pion–pion scattering lengths to high precision. We present the non-relativistic effective field theory framework that permits to determine the structure of this cusp in a straightforward manner, including the effects of radiative corrections. Applications of the same formalism to other decay channels, in particular η and η′ decays, are also discussed. |
| first_indexed | 2024-12-18T23:40:03Z |
| format | Article |
| id | doaj.art-f18b08e47da44f7d8d93def16f18f3d6 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-18T23:40:03Z |
| publishDate | 2010-04-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-f18b08e47da44f7d8d93def16f18f3d62022-12-21T20:47:25ZengEDP SciencesEPJ Web of Conferences2100-014X2010-04-0130100810.1051/epjconf/20100301008Cusp effects in meson decaysKubis B.The pion mass difference generates a pronounced cusp in the π0 π0 invariant mass distribution of K+ → π0 π0 π+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave pion–pion scattering lengths to high precision. We present the non-relativistic effective field theory framework that permits to determine the structure of this cusp in a straightforward manner, including the effects of radiative corrections. Applications of the same formalism to other decay channels, in particular η and η′ decays, are also discussed.http://dx.doi.org/10.1051/epjconf/20100301008 |
| spellingShingle | Kubis B. Cusp effects in meson decays EPJ Web of Conferences |
| title | Cusp effects in meson decays |
| title_full | Cusp effects in meson decays |
| title_fullStr | Cusp effects in meson decays |
| title_full_unstemmed | Cusp effects in meson decays |
| title_short | Cusp effects in meson decays |
| title_sort | cusp effects in meson decays |
| url | http://dx.doi.org/10.1051/epjconf/20100301008 |
| work_keys_str_mv | AT kubisb cuspeffectsinmesondecays |