Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading
We calculate the charm-quark contribution to the decay K_L -> mu^+ mu^- in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter P_c from +/-22% down to +/-7%, corresponding to scale uncertainties of +/-3% and +/-6% in the sh...
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2006
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_version_ | 1826270366027218944 |
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author | Gorbahn, M Haisch, U |
author_facet | Gorbahn, M Haisch, U |
author_sort | Gorbahn, M |
collection | OXFORD |
description | We calculate the charm-quark contribution to the decay K_L -> mu^+ mu^- in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter P_c from +/-22% down to +/-7%, corresponding to scale uncertainties of +/-3% and +/-6% in the short-distance part of the branching ratio and the determination of the Wolfenstein parameter rhobar from K_L -> mu^+ mu^-. The error in P_c = 0.115 +/- 0.018 is now in equal shares due to the combined scale uncertainties and the current uncertainty in the charm-quark mass. We find BR (K_L -> mu^+ mu^-)_SD = (0.79 +/- 0.12) x 10^-9, with the present uncertainty in the Cabibbo-Kobayashi-Maskawa matrix element V_td being the dominant individual source in the quoted error. |
first_indexed | 2024-03-06T21:39:41Z |
format | Journal article |
id | oxford-uuid:477c064c-e65c-4008-87fb-4b80564ef1f7 |
institution | University of Oxford |
last_indexed | 2024-03-06T21:39:41Z |
publishDate | 2006 |
record_format | dspace |
spelling | oxford-uuid:477c064c-e65c-4008-87fb-4b80564ef1f72022-03-26T15:20:21ZCharm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-LeadingJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:477c064c-e65c-4008-87fb-4b80564ef1f7Symplectic Elements at Oxford2006Gorbahn, MHaisch, UWe calculate the charm-quark contribution to the decay K_L -> mu^+ mu^- in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter P_c from +/-22% down to +/-7%, corresponding to scale uncertainties of +/-3% and +/-6% in the short-distance part of the branching ratio and the determination of the Wolfenstein parameter rhobar from K_L -> mu^+ mu^-. The error in P_c = 0.115 +/- 0.018 is now in equal shares due to the combined scale uncertainties and the current uncertainty in the charm-quark mass. We find BR (K_L -> mu^+ mu^-)_SD = (0.79 +/- 0.12) x 10^-9, with the present uncertainty in the Cabibbo-Kobayashi-Maskawa matrix element V_td being the dominant individual source in the quoted error. |
spellingShingle | Gorbahn, M Haisch, U Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title | Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title_full | Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title_fullStr | Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title_full_unstemmed | Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title_short | Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading |
title_sort | charm quark contribution to k l gt mu mu at next to next to leading |
work_keys_str_mv | AT gorbahnm charmquarkcontributiontoklgtmumuatnexttonexttoleading AT haischu charmquarkcontributiontoklgtmumuatnexttonexttoleading |