6533b832fe1ef96bd129a418
RESEARCH PRODUCT
Confronting hadronic tau decays with non-leptonic kaon decays
A. Rodríguez-sánchezA. Rodríguez-sánchezAntonio Pichsubject
QuarkPhysicsNuclear and High Energy PhysicsParticle physicsAleph010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyHadronFOS: Physical sciences01 natural sciences3. Good healthHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Lattice (order)0103 physical sciencesCP violationHigh Energy Physics::ExperimentOperator product expansion010306 general physicsdescription
In the chiral limit, the $D=6$ contribution to the Operator Product Expansion (OPE) of the $\mathrm{VV-AA}$ correlator of quark currents only depends on two vacuum condensates, which can be related to hadronic matrix elements associated to CP violation in non-leptonic kaon decays. We use those relations to determine $\langle(\pi\pi)_{I=2}|\mathcal{Q}_{8}|K\rangle$, using the updated ALEPH spectral functions. Alternatively, we use those relations in the opposite direction. Taking the values of the matrix elements from the lattice to obtain the $D=6$ vacuum elements provides a new short-distance constraint which allows for an inclusive determination of $f_{\pi}$ and an updated value for the $D=8$ condensate.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-11-16 | Nuclear and Particle Physics Proceedings |