PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Poster
Direct lattice calculation of inclusive hadronic decay rates of the $\tau$ lepton
A. Evangelista*, R. Frezzotti, G. Gagliardi, V. Lubicz, F. Sanfilippo, S. Simula and N. Tantalo
Full text: pdf
Pre-published on: March 02, 2023
Published on: April 06, 2023
The inclusive hadronic decay--rates of the $\tau$ lepton are particularly interesting from the phenomenological point of view since they give access to the CKM matrix elements $V_{ud}$ and $V_{us}$. In this talk, we discuss how a recent method for the extraction of smeared spectral densities from Euclidean lattice correlators can be used to obtain a direct lattice determination of inclusive hadronic $\tau$ decay rates. We also present preliminary numerical results obtained by applying this method to correlators measured on two gauge ensembles produced by the ETMC with $N_f=2+1+1$ dynamical flavours at physical pion masses, lattice spacing $a\simeq 0.08$~fm and volumes $L\simeq 5.1$~fm and $L\simeq 7.6$~fm.
DOI: https://doi.org/10.22323/1.430.0296
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.