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
Date of Publication
June 28, 2024
Publication Type
Article
Division/Institute
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 |
Subject(s)
Series
Physical review letters
ISSN or ISBN (if monograph)
0031-9007
Publisher
American Physical Society
Language
English
Publisher DOI
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.
File(s)
File | File Type | Format | Size | License | Publisher/Copright statement | Content | |
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PhysRevLett.132.261901.pdf | text | Adobe PDF | 713.39 KB | Attribution (CC BY 4.0) | published |