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Inclusive semileptonic decays of the Ds meson: A first-principles lattice QCD calculation

Alessandro De Santis1,2, Antonio Evangelista3, Roberto Frezzotti3, Giuseppe Gagliardi4,5, Paolo Gambino6, Marco Garofalo7, Christiane Franziska Groß7, Bartosz Kostrzewa7, Vittorio Lubicz4,5 et al.

Francesca Margari3, Marco Panero6,8, Francesco Sanfilippo5, Silvano Simula5, Antonio Smecca9, Nazario Tantalo3, and Carsten Urbach7

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Phys. Rev. D 112, 054503 – Published 15 September, 2025

DOI: https://doi.org/10.1103/3cxg-k322

Abstract

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 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 this paper we conclude that it is nowadays possible to study heavy mesons inclusive semileptonic decays on the lattice at a phenomenologically relevant level of accuracy. The phenomenological implications of our physical results are the subject of a companion Letter [A. De Santis et al., Inclusive semileptonic decays of the Ds meson: Lattice QCD confronts experiments, Phys. Rev. Lett. 135, 121901 (2025).].

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Inclusive Semileptonic Decays of the Ds Meson: Lattice QCD Confronts Experiments

Alessandro De Santis, Antonio Evangelista, Roberto Frezzotti, Giuseppe Gagliardi, Paolo Gambino, Marco Garofalo, Christiane Franziska Groß, Bartosz Kostrzewa, Vittorio Lubicz, Francesca Margari, Marco Panero, Francesco Sanfilippo, Silvano Simula, Antonio Smecca, Nazario Tantalo, and Carsten Urbach
Phys. Rev. Lett. 135, 121901 (2025)

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Phys. Rev. D 112, 054503– Published 15 September, 2025
  • Received 24 April 2025
  • Accepted 14 August 2025
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