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On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory

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Jack Laiho, Amarjit Soni

High Energy Physics - Phenomenology · Submitted 12 Mar 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that lattice calculation of K --> pi pi and $epe$ amplitudes for (8,1) and (27,1) operators to O(p^4) in chiral perturbation theory is feasible when one uses K --> pi pi computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two and three point functions, namely K --> 0, K --> pi (with momentum) and K - bar{K}.

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arXiv IDhep-ph/0203106 (version 3)
Pith ID4EBLJYKH, Pith's permanent record of this paper and its review
CitationAmarjit Soni, Jack Laiho. "On lattice extraction of K --> pi pi amplitudes to O(p^4) in Chiral Perturbation Theory." arXiv:hep-ph/0203106 (2002). https://pith.science/paper/4EBLJYKH
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,454 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.47 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.09 · mentions code or data availability 0.03.

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arXiv listing abstract v3. Results and the main claim are underlined; .

We show that lattice calculation of K --> pi pi and $epe$ amplitudes for (8,1) and (27,1) operators to O(p^4) in chiral perturbation theory is feasible when one uses K --> pi pi computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two and three point functions, namely K --> 0, K --> pi (with momentum) and K - bar{K}. Explicit expressions for the finite logarithms emerging from our O(p^4) analysis to the above amplitudes are also given.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We show that lattice calculation of K --> pi pi and $epe$ amplitudes for (8,1) and (27,1) operators to O(p^4) in chiral perturbation theory is feasible when one uses K --> pi pi computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two and three point functions, namely K --> 0, K --> pi (with momentum) and K - bar{K}. contribution 0.64 0.80 0.89 asserted 0.96
s1 Explicit expressions for the finite logarithms emerging from our O(p^4) analysis to the above amplitudes are also given. result 0.56 0.92 0.07 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.68 · evidence from proof or derivation 0.96.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

We show that lattice calculation of K --> pi pi and $epe$ amplitudes for (8,1) and (27,1) operators to O(p^4) in chiral perturbation theory is feasible when one uses K --> pi pi computations at the two unphysical kinematics allowed by the Maiani-Testa theorem, along with the usual (computable) two and three point functions, namely K --> 0, K --> pi (with momentum) and K - bar{K}. Explicit expressions for the finite logarithms emerging from our O(p^4) analysis to the above amplitudes are also given.

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4 arXiv papers cite this in 6 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 4 sentences without a confident label

Uses its method or tool 1 paper
  • For $ℳ_(27,1)^log$ we use Eq. (C5) in [ref] , (where we have added logarithmic terms from $(m_K^2-m_π^2)_1-loop$ by hand as necessitated by Eq. ([ref]) and corrected a factor of $1/f^2$ in equation (A2)), and for $ℳ_(8,8)^log$ we use Eq. (E3) in [ref] .

    Lattice determination of the $K \to (\pi\pi)_{I=2}$ Decay Amplitude $A_2$ · Finite-Volume Corrections · 0.88

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