We present a strategy to extend lattice calculations of inclusive hadronic τ 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 τ decay rates with direct implications for the extraction of the CKM matrix element ∣Vus∣.
@article{arxiv.2603.29016,
title = {First-principle evaluation of inclusive hadronic $\tau$ decays in QCD+QED},
author = {Matteo Di Carlo and Simone Bacchio and Erik Bäske and Alessandro De Santis and Antonio Evangelista and Roberto Frezzotti and Giuseppe Gagliardi and Lukas Holan and Vittorio Lubicz and Lorenzo Maio and Francesca Margari and Agostino Patella and Francesco Sanfilippo and Silvano Simula and Nazario Tantalo},
journal= {arXiv preprint arXiv:2603.29016},
year = {2026}
}
Comments
10 pages, 2 figures, contribution to 42nd International Symposium on Lattice Field Theory (Lattice 2025), TIFR Mumbai, India, 2025