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Precise Determination of |V{us}| from Lattice Calculations of Pseudoscalar Decay Constants
High Energy Physics - Phenomenology · Submitted 27 Feb 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value for the CKM quark mixing matrix element |V{us}|=0.2236(30) or if 3 generation unitarity is assumed |V{us}|=0.2238(30).
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The abstract, sentence by sentence
Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value for the CKM quark mixing matrix element |V{us}|=0.2236(30) or if 3 generation unitarity is assumed |V{us}|=0.2238(30). Comparison with other determinations of that fundamental parameter, implications, and an outlook for future improvements are given.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value for the CKM quark mixing matrix element |V{us}|=0.2236(30) or if 3 generation unitarity is assumed |V{us}|=0.2238(30). | result 0.99 | 0.72 | 0.95 | asserted 1.00 |
| s1 | Comparison with other determinations of that fundamental parameter, implications, and an outlook for future improvements are given. | future work 0.48 | 0.33 | 0.03 | asserted 0.55 |
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The paper
Original abstract
Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value for the CKM quark mixing matrix element |V{us}|=0.2236(30) or if 3 generation unitarity is assumed |V{us}|=0.2238(30). Comparison with other determinations of that fundamental parameter, implications, and an outlook for future improvements are given.
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References
How the literature uses it
41 arXiv papers cite this in 49 sentences
Papers citing it · 35 sentences without a confident label
Uses its data or values 8 papers
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Our result for the ratio $f_K/f_π$ can be combined with the experimental measurement of $Γ(K →μν̅_μ(γ))/Γ(π→μν̅_μ(γ))$ [ref] to get a determination of the ratio $|V_us|/|V_ud|$ [ref] .
Light quark masses and pseudoscalar decay constants from Nf=2 Lattice QCD with twisted mass fermions · Physical results · 1.00
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In the $K_ℓ2$ case $δ_em=-0.0070(35)$ [ref] , while the four $δ^K ℓ_em$ are given in Table [ref], together with the isospin-breaking corrections due to $m_u ≠ m_d$, denoted by $δ^K_SU(2)$.
Precision tests of the Standard Model with leptonic and semileptonic kaon decays · $K_ℓ3$ and $K_ℓ2$ rates within the SM · 1.00
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[ref] , while the long-distance electromagnetic corrections, $δ_em=0.9930(35)$ [ref] and $δ^K ℓ_em$, as well as the isospin-breaking ones, $δ^K_SU(2)$, have been recently revised in ref.
Precision tests of Standard Model with leptonic and semileptonic kaon decays · $K_ℓ2$ and $K_ℓ3$ phenomenology · 0.81
Compares with it 1 paper
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This would match the precision of the current extraction of $|V_us / V_ud|$ from the axial channels [ref]
PIONEER: Studies of Rare Pion Decays · PiBeta · 0.81
Cites it as background 4 papers
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For example, the ratio of the kaon and pion decay constants, $F_K, F_π$, respectively, may be related to the ratio of light and strange CKM matrix elements $|V_us|, |V_ud|$ via [ref] , [equation] In this expression, $l=e,μ$, the one-loop radiative quantum electrodynamics (QED) correction is $δ_EM$ [ref] and $_̣SU(2)$ is the strong isospin breaking correction that relates $F_K^2/F_π^2$ in the isospin limit to $F_K^+^2/F_π^+^2$ that includes $m_d-m_u$ corrections [ref] [equation]
$F_K / F_\pi$ from M\"{o}bius domain-wall fermions solved on gradient-flowed HISQ ensembles · Introduction · 0.94
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The magnitude of the largest off-diagonal element of this matrix, , has historically been measured from three-body kaon () and hyperon decays [ref] . has also been extracted from a comparison of the radiative inclusive rates of two-body kaon () and pion decays, along with lattice-QCD results of the meson decay constants [ref] .
Measurement of |V_us| using hadronic tau decays from BaBar & Belle · Introduction · 0.93
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In 2004, Marciano pointed out a window of opportunity for determining $|V_us/V_ud|$ from the ratio of leptonic decay rates $Γ(K→μν̅(γ))/Γ(π→μν̅(γ))$ [ref] .
Kaon physics: a lattice perspective · $|V_us/V_ud|$ from $K, π→μν̅$ · 0.80
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