Built on

T. Kitahara, T. Okui, G. Perez, Y. Soreq, and K. Tobioka, “New physics implications of recent search for K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} at KOTO”, Phys. Rev. Lett. 124
Original
1909
Earlier work this paper cites.
Y. Liao, X.D. Ma, and H. L. Wang, “Effective field theory approach to lepton number violating decays K ± → π ∓ l ± l ± K^{\pm}\rightarrow\pi^{\mp}l^{\pm}l^{\pm} : short-distance contribution”, JHEP 2001
Original
1909
Earlier work this paper cites.
D. Egana-Ugrinovic, S. Homiller, and P. Meade, “Light Scalars and the KOTO Anomaly”, Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
P.S.B. Dev, R.N. Mohapatra, and Y. Zhang, “Constraints on long-lived light scalars with flavor-changing couplings and the KOTO anomaly”, Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
T. Li, X.D. Ma, and M.A. Schmidt, “Implication of K → π ν ν ¯ K\to\pi\nu\bar{\nu} for generic neutrino interactions in effective field theories”, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
J. Gasser and H. Leutwyler, “Chiral Perturbation Theory to One Loop”, Annals Phys. 158
1984
Earlier work this paper cites.
J. Gasser and H. Leutwyler, “Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark”, Nucl. Phys. B 250
1985
Earlier work this paper cites.
W. Buchmuller and D. Wyler, “Effective Lagrangian Analysis of New Interactions and Flavor Conservation”, Nucl. Phys. B 268
1986
Earlier work this paper cites.
J.S. Hagelin and L.S. Littenberg, “Rare Kaon Decays”, Prog. Part. Nucl. Phys. 23
1989
Earlier work this paper cites.
L.S. Littenberg, “The CP Violating Decay K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} ”, Phys. Rev. D 39
1989
Earlier work this paper cites.
D. Rein and L.M. Sehgal, “Long Distance Contributions to the Decay K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Rev. D 39
1989
Earlier work this paper cites.
J. Kambor, J.H. Missimer, and D. Wyler, “The Chiral Loop Expansion of the Nonleptonic Weak Interactions of Mesons”, Nucl. Phys. B 346
1990
Earlier work this paper cites.
M. Lu and M.B. Wise, “Long distance contributions to K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Lett. B 324
1994
Earlier work this paper cites.
Y. Grossman and Y. Nir, “ K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} beyond the standard model”, Phys. Lett. B 398
1997
Earlier work this paper cites.
G. Buchalla and G. Isidori, “The CP conserving contribution to K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} n the standard model”, Phys. Lett. B 440
1998
Earlier work this paper cites.

Similar

A.F. Falk, A. Lewandowski, and A.A. Petrov, “Effects from the charm scale in K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Lett. B 505
2001
Cited alongside, same era.
J. Liu, N. McGinnis, C.E.M. Wagner, and X.P. Wang, “A Light Scalar Explanation of ( g − 2 ) μ (g-2)_{\mu} and the KOTO Anomaly”, JHEP 2004
Original
2001
Cited alongside, same era.
Y. Jho, S.M. Lee, S.C. Park, Y. Park, and P.Y. Tseng, “Light gauge boson interpretation for ( g − 2 ) μ (g-2)_{\mu} and the K L → π 0 K_{L}\to\pi^{0} + (invisible) anomaly at the J-PARC KOTO experiment”, JHEP 2004
Original
2001
Cited alongside, same era.
J. Cline, M. Puel, and T. Toma, “A little theory of everything, with heavy neutral leptons”, JHEP 2005
Original
2001
Cited alongside, same era.
X.G. He, X.D. Ma, J. Tandean, and G. Valencia, “Breaking the Grossman-Nir Bound in Kaon Decays”, JHEP 04

Then

J. Brod, M. Gorbahn, and E. Stamou, “Two-Loop Electroweak Corrections for the K → π ν ν ¯ K\to\pi\nu\bar{\nu} Decays”, Phys. Rev. D 83
Original
2011
Later among the works it cites.
A.J. Buras, M. Gorbahn, U. Haisch, and U. Nierste, “Charm quark contribution to K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} at next-to-next-to-leading order”, JHEP 0611
2012
Later among the works it cites.
K. Fuyuto, W.S. Hou, and M. Kohda, “Loophole in K → π ν ν ¯ K\to\pi\nu\bar{\nu} Search and New Weak Leptonic Forces”, Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
A. Kobach, “Baryon Number, Lepton Number, and Operator Dimension in the Standard Model”, Phys. Lett. B 758
Original
2016
Later among the works it cites.
M.L. Graesser, “An electroweak basis for neutrinoless double β \beta decay”, JHEP 1708

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2020

Evading the Grossman-Nir bound with $\Delta I=3/2$ new physics

He, Xiao-Gang, Ma, Xiao-Dong, Tandean, Jusak et al.

Understand

Rare kaon decays with missing energy, $K\to\pi$+$E_{\rm miss}$, have received considerable attention because their rates can be calculated quite precisely within the standard model (SM), where the missing energy is carried away by an undetected neutrino-antineutrino pair.

Beyond the SM, clean theoretical predictions can also be made regarding these processes.
One such prediction is the so-called Grossman-Nir (GN) bound, which states that the branching fractions of the $K_L$ and $K^+$ modes must satisfy the relation $\mathcal{B}(K_L\to\pi^0$+$E_{\rm miss})\lesssim4.3\,\mathcal{B}(K^+\to\pi^+$+$E_{\rm miss})$ and applies within and beyond the SM, as long as the hadronic transitions change isospin by $\Delta I=1/2$.
In this paper we extend the study of these modes to include new-physics scenarios where the missing energy is due to unobserved lepton-number-violating neutrino pairs, invisible light new scalars, or pairs of such scalars.

Built on

T. Kitahara, T. Okui, G. Perez, Y. Soreq, and K. Tobioka, “New physics implications of recent search for K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} at KOTO”, Phys. Rev. Lett. 124
Original
1909
Earlier work this paper cites.
Y. Liao, X.D. Ma, and H. L. Wang, “Effective field theory approach to lepton number violating decays K ± → π ∓ l ± l ± K^{\pm}\rightarrow\pi^{\mp}l^{\pm}l^{\pm} : short-distance contribution”, JHEP 2001
Original
1909
Earlier work this paper cites.
D. Egana-Ugrinovic, S. Homiller, and P. Meade, “Light Scalars and the KOTO Anomaly”, Phys. Rev. Lett. 124
Original
1911
Earlier work this paper cites.
P.S.B. Dev, R.N. Mohapatra, and Y. Zhang, “Constraints on long-lived light scalars with flavor-changing couplings and the KOTO anomaly”, Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
T. Li, X.D. Ma, and M.A. Schmidt, “Implication of K → π ν ν ¯ K\to\pi\nu\bar{\nu} for generic neutrino interactions in effective field theories”, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
J. Gasser and H. Leutwyler, “Chiral Perturbation Theory to One Loop”, Annals Phys. 158
1984
Earlier work this paper cites.
J. Gasser and H. Leutwyler, “Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark”, Nucl. Phys. B 250
1985
Earlier work this paper cites.
W. Buchmuller and D. Wyler, “Effective Lagrangian Analysis of New Interactions and Flavor Conservation”, Nucl. Phys. B 268
1986
Earlier work this paper cites.
J.S. Hagelin and L.S. Littenberg, “Rare Kaon Decays”, Prog. Part. Nucl. Phys. 23
1989
Earlier work this paper cites.
L.S. Littenberg, “The CP Violating Decay K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} ”, Phys. Rev. D 39
1989
Earlier work this paper cites.
D. Rein and L.M. Sehgal, “Long Distance Contributions to the Decay K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Rev. D 39
1989
Earlier work this paper cites.
J. Kambor, J.H. Missimer, and D. Wyler, “The Chiral Loop Expansion of the Nonleptonic Weak Interactions of Mesons”, Nucl. Phys. B 346
1990
Earlier work this paper cites.
M. Lu and M.B. Wise, “Long distance contributions to K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Lett. B 324
1994
Earlier work this paper cites.
Y. Grossman and Y. Nir, “ K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} beyond the standard model”, Phys. Lett. B 398
1997
Earlier work this paper cites.
G. Buchalla and G. Isidori, “The CP conserving contribution to K L → π 0 ν ν ¯ K_{L}\to\pi^{0}\nu\bar{\nu} n the standard model”, Phys. Lett. B 440
1998
Earlier work this paper cites.

Similar

A.F. Falk, A. Lewandowski, and A.A. Petrov, “Effects from the charm scale in K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Lett. B 505
2001
Cited alongside, same era.
J. Liu, N. McGinnis, C.E.M. Wagner, and X.P. Wang, “A Light Scalar Explanation of ( g − 2 ) μ (g-2)_{\mu} and the KOTO Anomaly”, JHEP 2004
Original
2001
Cited alongside, same era.
Y. Jho, S.M. Lee, S.C. Park, Y. Park, and P.Y. Tseng, “Light gauge boson interpretation for ( g − 2 ) μ (g-2)_{\mu} and the K L → π 0 K_{L}\to\pi^{0} + (invisible) anomaly at the J-PARC KOTO experiment”, JHEP 2004
Original
2001
Cited alongside, same era.
J. Cline, M. Puel, and T. Toma, “A little theory of everything, with heavy neutral leptons”, JHEP 2005
Original
2001
Cited alongside, same era.
X.G. He, X.D. Ma, J. Tandean, and G. Valencia, “Breaking the Grossman-Nir Bound in Kaon Decays”, JHEP 04

Then

J. Brod, M. Gorbahn, and E. Stamou, “Two-Loop Electroweak Corrections for the K → π ν ν ¯ K\to\pi\nu\bar{\nu} Decays”, Phys. Rev. D 83
Original
2011
Later among the works it cites.
A.J. Buras, M. Gorbahn, U. Haisch, and U. Nierste, “Charm quark contribution to K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} at next-to-next-to-leading order”, JHEP 0611
2012
Later among the works it cites.
K. Fuyuto, W.S. Hou, and M. Kohda, “Loophole in K → π ν ν ¯ K\to\pi\nu\bar{\nu} Search and New Weak Leptonic Forces”, Phys. Rev. Lett. 114
Original
2015
Later among the works it cites.
A. Kobach, “Baryon Number, Lepton Number, and Operator Dimension in the Standard Model”, Phys. Lett. B 758
Original
2016
Later among the works it cites.
M.L. Graesser, “An electroweak basis for neutrinoless double β \beta decay”, JHEP 1708

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2002

Cited alongside, same era.

V. Cirigliano, G. Ecker, H. Neufeld, and A. Pich, “Isospin breaking in K → π π K\to\pi\pi decays”, Eur. Phys. J. C 33

2004

Cited alongside, same era.

G. Isidori, F. Mescia, and C. Smith, “Light-quark loops in K → π ν ν ¯ K\to\pi\nu\bar{\nu} ”, Nucl. Phys. B 718

2005

Cited alongside, same era.

J. Charles et al

2005

Cited alongside, same era.

Y. Liao, H.L. Wang, C.Y. Yao, and J. Zhang, “An imprint of a new light particle at KOTO?”, [arXiv:2005.00753 [hep-ph]]

Original

2005

Cited alongside, same era.

R. Ziegler, J. Zupan, and R. Zwicky, “Three Exceptions to the Grossman-Nir Bound”, arXiv:2005.00451 [hep-ph]

Original

2005

Cited alongside, same era.

J. Brod and M. Gorbahn, “Electroweak Corrections to the Charm Quark Contribution to K + → π + ν ν ¯ K^{+}\to\pi^{+}\nu\bar{\nu} ”, Phys. Rev. D 78

Original

2008

Cited alongside, same era.

A.V. Artamonov et al

Original

2008

Cited alongside, same era.

Original

2017