2024/03/08 by Constantia Alexandrou, Simone Bacchio, Alexandrou, C. +29
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2403.05404
openalex publication_date 2024/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a lattice determination of the inclusive decay rate of the process τ↦ Xus ντ in which the τ lepton decays into a generic hadronic state Xus with u s flavour quantum numbers. Our results have been obtained in nf=2+1+1 iso-symmetric QCD with full non-perturbative accuracy, without any OPE approximation and, except for the presently missing long-distance isospin-breaking corrections, include a solid estimate of all sources of theoretical uncertainties. This has been possible by using the Hansen-Lupo-Tantalo method [1] that we have already successfully applied in [2] to compute the inclusive decay rate of the process τ↦ Xud ντ in the u d flavour channel. By combining our first-principles theoretical results with the presently-available experimental data we extract the CKM matrix element \vert Vus\vert, the Cabibbo angle, with a 0.9% accuracy, dominated by the experimental error.