Improved Standard-Model prediction for K$_{L}$ → ℓ$^{+}$ℓ$^{−}$

Hoferichter, Martin; Hoid, Bai-Long; de Elvira, Jacobo Ruiz

doi:10.1007/JHEP04(2024)071

Improved Standard-Model prediction for K $_{L}$ → ℓ $^{+}$ ℓ $^{−}$

Oct 26, 2023

39 pages

Published in:

JHEP 04 (2024) 071,
JHEP 04 (2024) 071

Published: Apr 12, 2024

e-Print:

2310.17689 [hep-ph]

DOI:

10.1007/JHEP04(2024)071

Report number:

IPARCOS-UCM-23-089

View in:

ADS Abstract Service

reference search12 citations

Citations per year

Abstract: (Springer)

We present a comprehensive calculation of the K

_{L}

→ γ

^{∗}

γ

^{∗}

form factor in dispersion theory, using input from the leptonic decays K

_{L}

→ ℓ

^{+}

ℓ

^{−}

γ,

{K}_{L}\to {{\ell}}_{1}^{+}{{\ell}}_{1}^{-}{{\ell}}_{2}^{+}{{\ell}}_{2}^{-}

, the hadronic mode K

_{L}

→ π

^{+}

π

^{−}

γ, the normalization K

_{L}

→ γγ, and the matching to asymptotic constraints. As key result we obtain an improved determination of the long-distance contribution to K

_{L}

→ ℓ

^{+}

ℓ

^{−}

, leading to the Standard-Model predictions Br[K

_{L}

→ μ

^{+}

μ

^{−}

] =

{7.44}_{-0.34}^{+0.41}

× 10

^{−9}

, Br[K

_{L}

→ e

^{+}

e

^{−}

] = 8.46(37) × 10

^{−12}

, and more stringent limits on physics beyond the Standard Model. We provide a detailed breakdown of the current uncertainty, and delineate how future experiments and the interplay with lattice QCD could help further improve the precision.

Note:

39 pages, 6 figures; version published in JHEP

Kaons
Rare Decays
flavor: violation
K0(L): form factor
K0(L): leptonic decay
K0(L): radiative decay
K0(L): branching ratio
decay: flavor changing
neutral current: flavor changing
photon: virtual

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Improved Standard-Model prediction for KL_{L}L​ → ℓ+^{+}+ℓ−^{−}−

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Improved Standard-Model prediction for K $_{L}$ → ℓ $^{+}$ ℓ $^{−}$