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Title: Light quark loops in $${K}^{\pm}\to {\pi}^{\pm}\nu \overline{\nu}$$ from vector meson dominance and update on the Kaon Unitarity Triangle

Journal Article · · Journal of High Energy Physics (Online)
ORCiD logo [1]; ORCiD logo [2]
  1. Indiana Univ., Bloomington, IN (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  2. Brookhaven National Laboratory (BNL), Upton, NY (United States)

We use vector meson dominance to calculate non-perturbative contributions to the branching ratio of the rare decay $$K$$± → π±$$v\overline{v}$$ stemming from matrix elements involving up-quark loops. The importance of this observable as well as of K0 → π0l+l- and of the direct CP violation parameter ϵ'K is then discussed in the context of a Unitarity Triangle sqtudy based on Kaon sector observables only.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0012704
OSTI ID:
2484016
Report Number(s):
BNL--226452-2024-JAAM
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2024; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (68)

Long-distance contribution to $$K^ + \to \pi ^ + v\bar v$$ decay and O(p 4) terms in CHPTdecay and O(p 4) terms in CHPT journal April 1997
Two-pion contribution to hadronic vacuum polarization journal February 2019
On the amplitudes for the CP-conserving K±(KS) → π±(π0)ℓ+ℓ− rare decay modes journal February 2019
Isospin-violating contributions to ∈′/∈ journal February 2020
Beyond the Standard Model prospects for kaon physics at future experiments journal February 2024
Rare b decays meet high-mass Drell-Yan journal May 2023
K + → π + ν ν ¯ $$ {K}^{+}\to {\pi}^{+}\nu \overline{\nu} $$ and K L → π 0 ν ν ¯ $$ {K}_L\to {\pi}^0\nu \overline{\nu} $$ in the Standard Model: status and perspectives journal November 2015
New UTfit analysis of the unitarity triangle in the Cabibbo–Kobayashi–Maskawa scheme journal February 2023
Rare kaon decays journal January 1989
Chiral lagrangians for massive spin-1 fields journal June 1989
Vector meson exchange in radiative kaon decays and chiral perturbation theory journal March 1990
Comments on long distance contribution to journal August 1995
Chiral perturbation theory: Expansions in the mass of the strange quark journal January 1985
K → πℓ+ℓ− decays in the effective chiral lagrangian of the standard model journal January 1987
The role of resonances in chiral perturbation theory journal July 1989
Strong CP-violation in an effective chiral lagrangian approach journal December 1991
Resonances in the weak chiral lagrangian journal April 1993
QCD corrections to rare K- and B-decays for arbitrary top quark mass journal July 1993
Nambu-Jona-Lasinio-like models and the low-energy effective action of QCD journal February 1993
The rare decays beyond leading logarithms journal January 1994
Hidden local symmetry at loop journal July 2003
QCD corrections to FCNC decays mediated by Z-penguins and W-boxes journal April 1999
Pion-pion scattering at low energy journal December 1997
The rare decays and B → l+l−: an update journal May 1999
Extracting short-distance physics from KL,S→π0e+e− decays journal November 2003
Light-quark loops in journal July 2005
Vector meson decays from the extended chiral quark model journal July 2006
Emerging lattice approach to the K-unitarity triangle journal August 2016
More indications for lepton nonuniversality in b → sℓ+ℓ− journal January 2022
The anomalous magnetic moment of the muon in the Standard Model journal December 2020
Leading hadronic contribution to the muon magnetic moment from lattice QCD journal April 2021
The vector and scalar form factors of the pion to two loops journal May 1998
The decays K →π l + l beyond leading order in the chiral expansion journal August 1998
Charm quark contribution to K + →π + νbar nu at next-to-next-to-leading order journal November 2006
KOTO II at J-PARC : toward measurement of the branching ratio of KL→π0νν¯ journal February 2023
Neutral Vector Mesons and the Hadronic Electromagnetic Current journal May 1967
Field-Current Identities and Algebra of Fields journal November 1967
Vector-Meson-Dominance Predictions on Inelastic Electron-Proton Scattering journal October 1969
Windows on the hadronic vacuum polarization contribution to the muon anomalous magnetic moment journal October 2022
Window observable for the hadronic vacuum polarization contribution to the muon g−2 from lattice QCD journal December 2022
Constraints on lepton universality violation from rare B decays journal March 2023
Lattice calculation of the short and intermediate time-distance hadronic vacuum polarization contributions to the muon magnetic moment using twisted-mass fermions journal April 2023
Application of chiral perturbation theory to K→2π decays journal November 1985
Large-Nchigher-order weak chiral Lagrangians coupled to external electromagnetic fields: Applications to radiative kaon decays journal July 1990
Improved estimates of rare K decay matrix elements from K ℓ 3 decays journal August 2007
Study ofτ−→VP−ντin the framework of resonance chiral theory journal August 2008
Two-loop electroweak corrections for the K → π ν ν ¯ decays journal February 2011
Prospects for a lattice computation of rare kaon decay amplitudes: K → π ℓ + ℓ − decays journal November 2015
Estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD journal April 2016
Hadronic vacuum polarization contribution to a μ from full lattice QCD journal August 2017
Unitary Symmetry and Leptonic Decays journal June 1963
Calculation of the Hadronic Vacuum Polarization Contribution to the Muon Anomalous Magnetic Moment journal July 2018
Standard-Model Prediction of ε K with Manifest Quark-Mixing Unitarity journal October 2020
Finite-Width Corrections to the Vector-Meson-Dominance Prediction for ρ → e + e − journal July 1968
Rare Decay K + → π + ν ν ¯ at the Next-to-Next-to-Leading Order in QCD journal December 2005
A dispersive analysis of the pion vector form factor and $$\tau ^{-}\rightarrow K^{-}K_{S}\nu _{\tau }$$ τ - → K - K S ν τ decay journal May 2019
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
To (b)e or not to (b)e: no electrons at LHCb journal July 2023
Workshop summary: Kaons@CERN 2023 journal April 2024
The rare decay $K_{\mathrm{L}} \rightarrow\pi^{0} \mu^{ + } \mu^{-}$ within the SM journal July 2004
Long Distance Contribution to at O(p4) in ChPT journal April 1999
C P -Violation in the Renormalizable Theory of Weak Interaction journal February 1973
Rare Kaon Decays journal September 2021
Rare K- (vs.) B-decays conference February 2008
Progress on the lattice QCD calculation of the rare kaon decays: K+ -> pi+ nu nu-bar
  • Christ, Norman H.; Feng, Xu; Lawson, Andrew
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016) https://doi.org/10.22323/1.256.0306
conference December 2016
Updated Standard Model Prediction for $K \to \pi \nu \bar{\nu}$ and $\epsilon_K$
  • Gorbahn, Martin; Brod, Joachim; Stamou, Emmanuel
  • Proceedings of 19th International Conference on B-Physics at Frontier Machines — PoS(BEAUTY2020) https://doi.org/10.22323/1.391.0056
conference October 2021
Recent CKMfitter updates on global fits of the CKM matrix conference January 2023
Rare K decays off and on the lattice conference December 2023