Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Quark and lepton flavor physics
First-principle evaluation of inclusive hadronic $\tau$ decays in QCD+QED
M. Di Carlo*, S. Bacchio, E. Bäske, A. De Santis, A. Evangelista, R. Frezzotti, G. Gagliardi, L. Holan, V. Lubicz, L. Maio, F. Margari, A. Patella, F. Sanfilippo, S. Simula and N. Tantalo
*: corresponding author
Full text: Not available
Abstract
We present a strategy to extend lattice calculations of inclusive hadronic $\tau$ decays from isosymmetric QCD to QCD+QED.
The inclusive decay rate can be related to suitable Euclidean correlation functions, allowing for a first-principles evaluation of electromagnetic and isospin-breaking effects.
Within the RM123 framework, radiative corrections are decomposed into leptonic, factorizable and non-factorizable contributions.
We report preliminary results for the leptonic and factorizable terms in the electro-quenched approximation and discuss the remaining steps towards a complete calculation.
This programme aims at a first-principles determination of inclusive $\tau$ decay rates with direct implications for the extraction of the CKM matrix element $|V_{us}|$.
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