Supplementary data for "Inclusive semileptonic decays of the Ds meson"
Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, and GSI Helmholtz Centre for Heavy Ion Research
Dipartimento di Fisica & INFN, Università di Roma "Tor Vergata"
Dipartimento di Matematica e Fisica, Università Roma Tre and INFN, Sezione di Roma Tre
Dipartimento di Fisica, Università di Torino & INFN, Sezione di Torino
HISKP (Theory) & Bethe Centre for Theoretical Physics, Rheinische Friedrich-Wilhelms-Universität Bonn
Dipartimento di Fisica, Università di Torino & INFN, Sezione di Torino and Department of Physics & Helsinki Institute of Physics, University of Helsinki
Department of Physics, Faculty of Science and Engineering, Swansea University (Singleton Park Campus)
Here we supplement the bootstrapsamples of the stability analyses done in the papers arXiv:2504.06063 and arXiv:2504.06064. In the papers, we present the results of a first-principles theoretical study of the inclusive semileptonic decays of the Ds meson. We performed a state-of-the-art lattice QCD calculation using the gauge ensembles produced by the Extended Twisted Mass Collaboration (ETMC) with dynamical light, strange and charm quarks with physical masses and employed the so-called Hansen-Lupo-Tantalo (HLT) method to extract the decay rate and the first two lepton-energy moments from the relevant Euclidean correlators. We have carefully taken into account all sources of systematic errors, including the ones associated with the continuum and infinite-volume extrapolations and with the HLT spectral reconstruction method. We obtained results in very good agreement with the currently available experimental determinations and with a total accuracy at the few-percent level, of the same order of magnitude of the experimental error. Our total error is dominated by the lattice QCD simulations statistical uncertainties and is certainly improvable. From the results presented and thoroughly discussed in the papers we conclude that it is nowadays possible to study heavy mesons inclusive semileptonic decays on the lattice at a phenomenologically relevant level of accuracy.
De Santis, A., Evangelista, A., Frezzotti, R., Gagliardi, G., Gambino, P., Garofalo, M., Groß, C. F., Kostrzewa, B., Lubicz, V., Margari, F., Panero, M., Sanfilippo, F., Simula, S., Smecca, A., Tantalo, N., & Urbach, C. (2025). Inclusive semileptonic decays of the Ds meson: A first-principles lattice QCD calculation.
De Santis, A., Evangelista, A., Frezzotti, R., Gagliardi, G., Gambino, P., Garofalo, M., Groß, C. F., Kostrzewa, B., Lubicz, V., Margari, F., Panero, M., Sanfilippo, F., Simula, S., Smecca, A., Tantalo, N., & Urbach, C. (2025). Inclusive semileptonic decays of the Ds meson: Lattice QCD confronts experiments.