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Impact of indirect CP violation on Br$(K_S \to \mu^+\mu^-)_{\ell=0}$

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arxiv 2209.07445 v3 pith:TNHPVTYX submitted 2022-09-15 hep-ph

classification hep-ph
keywords ratiobranchingdatadecayimpactindirectpredictionshort-distance
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The decay $K_S \to (\mu^+\mu^-)_{\ell=0}$, with the final muon pair in an angular-momentum zero state, is a sensitive probe of short-distance physics. It has recently been shown how to extract this branching ratio from neutral kaon decay data. We point out that the impact of indirect CP violation on the standard-model prediction of this mode, while nominally of order $|\epsilon_K| \sim 10^{-3}$, is enhanced by a large amplitude ratio and leads to a shift of the branching ratio Br$(K_S \to \mu^+\mu^-)_{\ell=0}$ by a few percent, depending on the size of a relative phase that can be extracted from data. We also update the standard-model prediction of the short-distance contribution.

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Cited by 4 Pith papers

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

  1. The flavour of SU(15) composite quarks and leptons

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A hand-imposed hierarchical texture for two flavour spurions fits the SM quark/lepton masses and CKM, and the same spurions make the electron EDM and K0-Kbar0 mixing the strongest probes of the SU(15) preon scale.

  2. A CKM blind spot: probing $b$-column rescaling with kaons

    hep-ph 2026-07 accept novelty 6.0 of 10

    A uniform rescaling of the CKM b-column is invisible to B-physics-only fits, and kaon data already bound it to −4%…+4% (2σ), with projections reaching ~2%.

  3. Natural complex plane for kaon CKM data: framework, status and future

    hep-ph 2025-04 accept novelty 5.0 of 10

    The natural complex plane for kaon CKM constraints is spanned by A^2(1-ρ̂) and A^2η̂; current data allow four islands, and future measurements will reduce them to one or expose new physics.

  4. 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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