K → μ+μ− beyond the standard model

Dery, Avital; Ghosh, Mitrajyoti

doi:10.1007/jhep03(2022)048

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…[42]. However, already time-integrated measurements of B (𝐾 𝑆 → 𝜇 + 𝜇 − ) [43] are constraining new physics models [44]. The prospects for future lattice results are promising [45,46].…”

Section: 𝐾 → 𝜇 + 𝜇 −mentioning

confidence: 99%

Rare K decays off and on the lattice

Soni,

Schacht

2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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The importance of rare 𝐾 decays especially in the context of a kaon unitarity triangle (KUT) is emphasized. The decay 𝐾 𝐿 → 𝜋 0 𝜈 ν is theoretically very clean but experimentally extremely challenging. The Standard Model prediction B ∼ 3 × 10 −11 is still about two orders of magnitude away from the current experimental upper bound. One way to continue to make progress towards the construction of a KUT is by improving the accuracy in the calculation of 𝜀 ′ . Another way which is the primary focus here is via studies of 𝐾 0 → 𝜋 0 𝜇 + 𝜇 − . LHCb, J-PARC, the proposed HIKE project, phenomenology, and in fact precision studies on the lattice can all play a very important role in this context.

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Section: 𝐾 → 𝜇 + 𝜇 −mentioning

confidence: 99%

Rare K decays off and on the lattice

Soni,

Schacht

2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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A precision relation between Γ(K → μ+μ−)(t) and $$ \mathcal{B}\left({K}_L\to {\mu}^{+}{\mu}^{-}\right)/\mathcal{B}\left({K}_L\to \gamma \gamma \right) $$

Dery

Ghosh

Grossman

et al. 2023

J. High Energ. Phys.

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We find that the phase appearing in the unitarity relation between $$ \mathcal{B}\left({K}_L\to {\mu}^{+}{\mu}^{-}\right) $$ B K L → μ + μ − and $$ \mathcal{B}\left({K}_L\to \gamma \gamma \right) $$ B K L → γγ is equal to the phase shift in the interference term of the time- dependent K → μ+μ− decay. A probe of this relation at future kaon facilities constitutes a Standard Model test with a theory precision of about 2%. The phase has further importance for sensitivity studies regarding the measurement of the time-dependent K → μ+μ− decay rate to extract the CKM matrix element combination $$ \mid {V}_{ts}{V}_{td}\sin \left(\beta +{\beta}_s\right)\mid \approx {A}^2{\lambda}^5\overline{\eta} $$ ∣ V ts V td sin β + β s ∣ ≈ A 2 λ 5 η ¯ . We find a model-independent theoretically clean prediction, cos2φ0 = 0.96 ± 0.03. The quoted error is a combination of the theoretical and experimental errors, and both of them are expected to shrink in the future. Using input from the large-NC limit within chiral perturbation theory, we find a theory preference towards solutions with negative cos φ0, reducing a four-fold ambiguity in the angle φ0 to a two-fold one.

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K → μ⁺μ⁻ as a third kaon golden mode

Dery

2023

J. Phys.: Conf. Ser.

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Recent progress has demonstrated that the K → μ + μ − decay carries clean short-distance information, attainable from a measurement of time-dependence sensitive to KL − KS interference effects. We review the ingredients that go into this proposed extraction, and discuss the sensitivity to the CKM parameter η ¯ as well as to various NP scenarios.

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K → μ+μ− beyond the standard model

Cited by 4 publications

References 25 publications

Rare K decays off and on the lattice

Rare K decays off and on the lattice

A precision relation between Γ(K → μ+μ−)(t) and $$ \mathcal{B}\left({K}_L\to {\mu}^{+}{\mu}^{-}\right)/\mathcal{B}\left({K}_L\to \gamma \gamma \right) $$

K → μ⁺μ⁻ as a third kaon golden mode

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K → μ+μ− beyond the standard model

Cited by 4 publications

References 25 publications

Rare K decays off and on the lattice

Rare K decays off and on the lattice

A precision relation between Γ(K → μ+μ−)(t) and $$ \mathcal{B}\left({K}_L\to {\mu}^{+}{\mu}^{-}\right)/\mathcal{B}\left({K}_L\to \gamma \gamma \right) $$

K → μ+μ− as a third kaon golden mode

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K → μ⁺μ⁻ as a third kaon golden mode