Direct lattice calculation of inclusive hadronic decay rates of the τ lepton

2023/01/02 by Evangelista, Antonio, Frezzotti, Roberto, Gagliardi, Giuseppe +4
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)

paper · doi:10.48550/arxiv.2301.00796

Abstract

The inclusive hadronic decay-rates of the τ 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 τ 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≃ 0.08 fm and volumes L≃ 5.1 fm and L≃ 7.6 fm.

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