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  3. Inclusive Hadronic Decay Rate of the τ Lepton from Lattice QCD: The u[over ¯]s Flavor Channel and the Cabibbo Angle.
 

Inclusive Hadronic Decay Rate of the τ Lepton from Lattice QCD: The u[over ¯]s Flavor Channel and the Cabibbo Angle.

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BORIS DOI
10.48350/198979
Date of Publication
June 28, 2024
Publication Type
Article
Division/Institute

Institut für Theoreti...

Author
Alexandrou, Constantia
Bacchio, Simone
De Santis, Alessandro
Evangelista, Antonio
Finkenrath, Jacob
Frezzotti, Roberto
Gagliardi, Giuseppe
Garofalo, Marco
Kostrzewa, Bartosz
Lubicz, Vittorio
Romiti, Simone
Sanfilippo, Francesco
Simula, Silvano
Tantalo, Nazario
Urbach, Carsten
Wenger, Ursorcid-logo
Institut für Theoretische Physik (ITP) - Lattice Quantum Field Theory
Institut für Theoretische Physik (ITP)
Subject(s)

500 - Science::530 - ...

Series
Physical review letters
ISSN or ISBN (if monograph)
0031-9007
Publisher
American Physical Society
Language
English
Publisher DOI
10.1103/PhysRevLett.132.261901
PubMed ID
38996322
Description
We present a lattice determination of the inclusive decay rate of the process τ↦X_{us}ν_{τ} in which the τ lepton decays into a generic hadronic state X_{us} with u[over ¯]s flavor quantum numbers. Our results have been obtained in n_{f}=2+1+1 isosymmetric QCD with full nonperturbative accuracy, without any operator product expansion 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 [M. Hansen et al., Phys. Rev. D 99, 094508 (2019)PRVDAQ2470-001010.1103/PhysRevD.99.094508] that we have already successfully applied [A. Evangelista et al., Phys. Rev. D 108, 074513 (2023)PRVDAQ2470-001010.1103/PhysRevD.108.074513] to compute the inclusive decay rate of the process τ↦X_{ud}ν_{τ} in the u[over ¯]d flavor channel. By combining our first-principles theoretical results with the presently available experimental data, we extract the Cabibbo-Kobayashi-Maskawa matrix element |V_{us}|, the Cabibbo angle, with a 0.9% accuracy, dominated by the experimental error.
Handle
https://boris-portal.unibe.ch/handle/20.500.12422/179125
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PhysRevLett.132.261901.pdftextAdobe PDF713.39 KBAttribution (CC BY 4.0)publishedOpen
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