SU(3) analysis of four-quark operators: $K\to\pi\pi$ and vacuum matrix elements - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of High Energy Physics Année : 2021

SU(3) analysis of four-quark operators: $K\to\pi\pi$ and vacuum matrix elements

Résumé

Hadronic matrix elements of local four-quark operators play a central role in non-leptonic kaon decays, while vacuum matrix elements involving the same kind of operators appear in inclusive dispersion relations, such as those relevant in τ-decay analyses. Using an SU(3)$_{L}$ ⊗ SU(3)$_{R}$ decomposition of the operators, we derive generic relations between these matrix elements, extending well-known results that link observables in the two different sectors. Two relevant phenomenological applications are presented. First, we determine the electroweak-penguin contribution to the kaon CP-violating ratio ε′/ε, using the measured hadronic spectral functions in τ decay. Second, we fit our SU(3) dynamical parameters to the most recent lattice data on K → ππ matrix elements. The comparison of this numerical fit with results from previous analytical approaches provides an interesting anatomy of the ∆I = $ \frac{1}{2} $ enhancement, confirming old suggestions about its underlying dynamical origin.

Dates et versions

hal-03164365 , version 1 (09-03-2021)

Identifiants

Citer

Antonio Pich, Antonio Rodríguez-Sánchez. SU(3) analysis of four-quark operators: $K\to\pi\pi$ and vacuum matrix elements. Journal of High Energy Physics, 2021, 06, pp.005. ⟨10.1007/JHEP06(2021)005⟩. ⟨hal-03164365⟩
44 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More