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, Urs (2024). Inclusive Hadronic Decay Rate of the τ Lepton from Lattice QCD: The u[over ¯]s Flavor Channel and the Cabibbo Angle. Physical review letters, 132(261901) American Physical Society 10.1103/PhysRevLett.132.261901
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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.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Wenger, Urs |
Subjects: |
500 Science > 530 Physics |
ISSN: |
0031-9007 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Pubmed Import |
Date Deposited: |
18 Jul 2024 16:10 |
Last Modified: |
19 Jul 2024 04:11 |
Publisher DOI: |
10.1103/PhysRevLett.132.261901 |
PubMed ID: |
38996322 |
BORIS DOI: |
10.48350/198979 |
URI: |
https://boris.unibe.ch/id/eprint/198979 |
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