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Probing new physics with the kaon decays $K\to\pi\pi\!\not\!\!E$
High Energy Physics - Phenomenology · Submitted 1 Sep 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Nevertheless, we point out that appreciable manifestations from beyond the standard model induced by the corresponding operators with mainly parity-odd $ds$ quark bilinears could still occur in $K\to\pi\pi\!\not\!\!E$ modes, on which there are only minimal empirical details at present.
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The abstract, sentence by sentence
The latest search for the rare kaon decay $K^+\to\pi^+\nu\bar\nu$ by the NA62 experiment has produced evidence for it with a branching fraction consistent with the prediction of the standard model. The new result implies that in this decay, with the $\nu\bar\nu$ pair appearing as missing energy ($\not\!\!E$), the room for possible new physics is no longer sizable and that therefore its contributions to underlying four-particle $s\to d\!\not\!\!E$ operators with parity-even $ds$ quark bilinears have become significantly constrained. Nevertheless, we point out that appreciable manifestations from beyond the standard model induced by the corresponding operators with mainly parity-odd $ds$ quark bilinears could still occur in $K\to\pi\pi\!\not\!\!E$ modes, on which there are only minimal empirical details at present. We find in particular that new physics of this kind may enhance the branching fraction of $K_L\to\pi^0\pi^0\!\not\!\!E$ to values reaching its current experimental upper limit and the branching fractions of $K^+\to\pi^+\pi^0\!\not\!\!E$ and $K_L\to\pi^+\pi^-\!\not\!\!E$ to the levels of $10^{-7}$ and $10^{-6}$, respectively. Thus, quests for these decays in existing kaon facilities such as KOTO and NA62 or future ones could provide valuable information complementary to that gained from $K\to\pi\!\not\!\!E$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The latest search for the rare kaon decay $K^+\to\pi^+\nu\bar\nu$ by the NA62 experiment has produced evidence for it with a branching fraction consistent with the prediction of the standard model. | background 0.96 | 0.06 | 0.05 | asserted 0.60 |
| s1 | The new result implies that in this decay, with the $\nu\bar\nu$ pair appearing as missing energy ($\not\!\!E$), the room for possible new physics is no longer sizable and that therefore its contributions to underlying four-particle $s\to d\!\not\!\!E$ operators with parity-even $ds$ quark bilinears have become significantly constrained. | interpretation 0.78 | 0.16 | 0.21 | asserted 0.60 |
| s2 | Nevertheless, we point out that appreciable manifestations from beyond the standard model induced by the corresponding operators with mainly parity-odd $ds$ quark bilinears could still occur in $K\to\pi\pi\!\not\!\!E$ modes, on which there are only minimal empirical details at present. | gap 0.74 | 0.31 | 0.43 | hedged possibility 0.99 |
| s3 | We find in particular that new physics of this kind may enhance the branching fraction of $K_L\to\pi^0\pi^0\!\not\!\!E$ to values reaching its current experimental upper limit and the branching fractions of $K^+\to\pi^+\pi^0\!\not\!\!E$ and $K_L\to\pi^+\pi^-\!\not\!\!E$ to the levels of $10^{-7}$ and $10^{-6}$, respectively. | result 0.98 | 0.92 | 0.36 | hedged possibility 0.89 |
| s4 | Thus, quests for these decays in existing kaon facilities such as KOTO and NA62 or future ones could provide valuable information complementary to that gained from $K\to\pi\!\not\!\!E$. | future work 0.93 | 0.18 | 0.23 | hedged possibility 0.95 |
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The paper
Original abstract
The latest search for the rare kaon decay $K^+\to\pi^+\nu\bar\nu$ by the NA62 experiment has produced evidence for it with a branching fraction consistent with the prediction of the standard model. The new result implies that in this decay, with the $\nu\bar\nu$ pair appearing as missing energy ($\not\!\!E$), the room for possible new physics is no longer sizable and that therefore its contributions to underlying four-particle $s\to d\!\not\!\!E$ operators with parity-even $ds$ quark bilinears have become significantly constrained. Nevertheless, we point out that appreciable manifestations from beyond the standard model induced by the corresponding operators with mainly parity-odd $ds$ quark bilinears could still occur in $K\to\pi\pi\!\not\!\!E$ modes, on which there are only minimal empirical details at present. We find in particular that new physics of this kind may enhance the branching fraction of $K_L\to\pi^0\pi^0\!\not\!\!E$ to values reaching its current experimental upper limit and the branching fractions of $K^+\to\pi^+\pi^0\!\not\!\!E$ and $K_L\to\pi^+\pi^-\!\not\!\!E$ to the levels of $10^{-7}$ and $10^{-6}$, respectively. Thus, quests for these decays in existing kaon facilities such as KOTO and NA62 or future ones could provide valuable information complementary to that gained from $K\to\pi\!\not\!\!E$.
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References
How the literature uses it
4 arXiv papers cite this in 4 sentences
What it cites · 40 sentences without a confident label
Uses the method or tool of 2 papers
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They can be estimated with the aid of flavor-SU(3) chiral perturbation theory at leading order [ref] .
FCNC portals to the dark sector · Decay amplitudes and rates · 0.96
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They can be estimated with the aid of flavor-SU(3) chiral perturbation theory at leading order [ref] .
Rare hyperon decays with missing energy · Decay amplitudes and rates · 0.96
Uses data or values from 6 papers
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The former [ref] has set $ℬ(K_L→π^0νν̅)_koto<3.0×10^-9$ at 90% confidence level (CL), exceeding but not far from the SM expectation [ref] of $ℬ(K_L→π^0νν̅)_sm=(3.4±0.6)×10^-11$.
Search for $K_L \!\to\! \pi^0 \nu \overline{\nu}$ and $K_L \!\to\! \pi^0 X^0$ Decays at the J-PARC KOTO Experiment · Introduction · 0.92
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The former [ref] has set $ℬ(K_L→π^0νν̅)_koto<3.0×10^-9$ at 90% confidence level (CL), exceeding but not far from the SM expectation [ref] of $ℬ(K_L→π^0νν̅)_sm=(3.4±0.6)×10^-11$.
$K^+\to\pi^+\nu\bar\nu$ and $K_L\to\pi^0\nu\bar\nu$ in the Standard Model: Status and Perspectives · Introduction · 0.92
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Nevertheless, from the existing data [ref] on the visible decay channels of $K_L,S$ one can obtain indirect upper bounds on their invisible branching fractions [ref] .
Search for invisible decays of $\pi^0, \eta, \eta', K_S$ and $K_L$: A probe of new physics and tests using the Bell-Steinberger relation · SM predictions and empirical information · 0.80
Compares with 3 papers
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We remark that the $'=$ possibility has previously been considered in Refs. [ref] and our formulas above applied to that case agree with those given therein in the $m_=0$ limit.
Rare hyperon decays with missing energy · Decay amplitudes and rates · 0.96
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We remark that the $'=$ possibility has previously been considered in Refs. [ref] and our formulas above applied to that case agree with those given therein in the $m_=0$ limit.
FCNC portals to the dark sector · Decay amplitudes and rates · 0.96
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We comment that the $ϕ'=ϕ$ possibility has also been considered before in Refs. [ref] and our formulas above applied to that case are consistent with those obtained therein for $m_ϕ=0$.
Flavor-changing hyperon decays with light invisible bosons · Decay amplitudes and rates · 0.95
Cites as background 6 papers
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These reactions are known to be dominated by short-distance physics [ref] and arise primarily from the quark transition $s→dE$.
Kaon Decays in the Standard Model · Introduction · 0.81
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These reactions are known to be dominated by short-distance physics [ref] and arise primarily from the quark transition $s→dE$.
Rare hyperon decays with missing energy · Introduction · 0.81
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These reactions are known to be dominated by short-distance physics [ref] and arise primarily from the quark transition $s→dE$.
Flavor-changing hyperon decays with light invisible bosons · Introduction · 0.81
Discussion
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