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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Prif Awduron: Gorbahn, M, Haisch, U
Fformat: Journal article
Cyhoeddwyd: 2006
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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
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id oxford-uuid:477c064c-e65c-4008-87fb-4b80564ef1f7
institution University of Oxford
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publishDate 2006
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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