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Charm-Quark Contribution to K_L -> mu^+ mu^- at Next-to-Next-to-Leading

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arxiv hep-ph/0605203 v3 pith:HIZG4QNL submitted 2006-05-18 hep-ph

Martin Gorbahn , Ulrich Haisch This is my paper · ORCID
classification hep-ph
keywords charm-quarkcontributionuncertaintyerrornext-to-next-to-leadingparameterscaleuncertainties
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalizing a three-flavor lattice calculation of the two-photon contribution to $K_L\to\mu^+\mu^-$

    hep-lat 2026-07 conditional novelty 6.0 of 10

    A three-flavor lattice QCD calculation of the two-photon contribution to K_L→μ^+μ^- can be renormalized by explicit counter terms, fixed by matching to a small-volume four-flavor simulation.

  2. Prospects for $K_{L}\to\pi^{0}\nu\bar{\nu}$, $K_S\to\mu^+\mu^-$, $K_L\to\pi^0 \ell^+\ell^-$ and $\varepsilon^{\prime}/\varepsilon$ after the new $K^{+}\to\pi^{+}\nu\bar{\nu}$ result from NA62

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A Z' model with both left- and right-handed sbar-d couplings can enhance K_L→π0ννbar by an order of magnitude while keeping K+→π+ννbar and ε_K SM-like.

  3. Flavor Constraints in a Generational Three Higgs Doublet Model

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A generational three-Higgs-doublet model is constructed, and flavor constraints show that its additional Higgs bosons can be as light as about 1.5 TeV if the only flavor violation is the minimal amount needed to repro...

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