- Open Access
Inclusive semileptonic decays from lattice QCD: Continuum and chiral extrapolation
Phys. Rev. D 114, 034507 – Published 11 August, 2026
DOI: https://doi.org/10.1103/g6gh-t4pc
Abstract
We present results for the inclusive semileptonic decay rate from lattice QCD. Chiral and continuum extrapolations are performed using gauge ensembles generated with flavors of Möbius domain-wall fermions. Systematic errors are fully addressed including those from the integral over all possible final states. Our results are in agreement with currently available experimental data, with an error at the few-percent level.
Physics Subject Headings (PhySH)
Article Text
References (41)
- J. Brod, M. Gorbahn, and E. Stamou, Standard-model prediction of with manifest quark-mixing unitarity, Phys. Rev. Lett. 125, 171803 (2020).
- Y. Aoki et al. (Flavour Lattice Averaging Group (FLAG), FLAG review 2024, Phys. Rev. D 113, 014508 (2026).
- J. C. A. Barata and K. Fredenhagen, Particle scattering in Euclidean lattice field theories, Commun. Math. Phys. 138, 507 (1991).
- P. Gambino and S. Hashimoto, Inclusive semileptonic decays from lattice QCD, Phys. Rev. Lett. 125, 032001 (2020).
- G. Bailas, S. Hashimoto, and T. Ishikawa, Reconstruction of smeared spectral function from Euclidean correlation functions, Prog. Theor. Exp. Phys. 2020, 043B07 (2020).
- R. Kellermann, A. Barone, A. Elgaziari, S. Hashimoto, Z. Hu, A. Jüttner, and T. Kaneko, Inclusive semileptonic decays from lattice QCD: Analysis of systematic effects, Phys. Rev. D 112, 014501 (2025).
- M. Hansen, A. Lupo, and N. Tantalo, Extraction of spectral densities from lattice correlators, Phys. Rev. D 99, 094508 (2019).
- P. Gambino, S. Hashimoto, S. Mächler, M. Panero, F. Sanfilippo, S. Simula, A. Smecca, and N. Tantalo, Lattice QCD study of inclusive semileptonic decays of heavy mesons, J. High Energy Phys. 07 (2022) 083.
- A. De Santis and C. F. Groß, Lattice calculation of the inclusive decay rate: An overview, Proc. Sci., LATTICE2024 (2025) 238 [arXiv:2502.15519].
- A. De Santis et al., Inclusive semileptonic decays of the meson: A first-principles lattice QCD calculation, Phys. Rev. D 112, 054503 (2025).
- A. De Santis et al., Inclusive semileptonic decays of the meson: Lattice QCD confronts experiments, Phys. Rev. Lett. 135, 121901 (2025).
- A. Barone, S. Hashimoto, A. Jüttner, T. Kaneko, and R. Kellermann, Approaches to inclusive semileptonic -meson decays from lattice QCD, J. High Energy Phys. 07 (2023) 145.
- Y. Shamir, Chiral fermions from lattice boundaries, Nucl. Phys. B406, 90 (1993).
- V. Furman and Y. Shamir, Axial symmetries in lattice QCD with Kaplan fermions, Nucl. Phys. B439, 54 (1995).
- R. C. Brower, H. Neff, and K. Orginos, The Möbius domain wall fermion algorithm, Comput. Phys. Commun. 220, 1 (2017).
- B. Colquhoun, S. Hashimoto, T. Kaneko, and J. Koponen (JLQCD Collaboration), Form factors of and a determination of with Möbius domain-wall fermions, Phys. Rev. D 106, 054502 (2022).
- Y. Aoki, B. Colquhoun, H. Fukaya, S. Hashimoto, T. Kaneko, R. Kellermann, J. Koponen, and E. Kou (JLQCD Collaboration), semileptonic form factors from lattice QCD with Möbius domain-wall quarks, Phys. Rev. D 109, 074503 (2024).
- S. Borsanyi et al. (BMW Collaboration), High-precision scale setting in lattice QCD, J. High Energy Phys. 09 (2012) 010.
- C. Morningstar and M. J. Peardon, Analytic smearing of SU(3) link variables in lattice QCD, Phys. Rev. D 69, 054501 (2004).
- M. Tomii, G. Cossu, B. Fahy, H. Fukaya, S. Hashimoto, T. Kaneko, and J. Noaki (JLQCD Collaboration), Renormalization of domain-wall bilinear operators with short-distance current correlators, Phys. Rev. D 94, 054504 (2016).
- P. A. Boyle (UKQCD Collaboration), Conserved currents for Mobius domain wall fermions, Proc. Sci., LATTICE2014 (2015) 087.
- K. Nakayama, B. Fahy, and S. Hashimoto, Short-distance charmonium correlator on the lattice with Möbius domain-wall fermion and a determination of charm quark mass, Phys. Rev. D 94, 054507 (2016).
- M. Foster and C. Michael (UKQCD Collaboration), Quark mass dependence of hadron masses from lattice QCD, Phys. Rev. D 59, 074503 (1999).
- C. McNeile and C. Michael (UKQCD Collaboration), Decay width of light quark hybrid meson from the lattice, Phys. Rev. D 73, 074506 (2006).
- P. A. Boyle, A. Juttner, C. Kelly, and R. D. Kenway, Use of stochastic sources for the lattice determination of light quark physics, J. High Energy Phys. 08 (2008) 086.
- P. Boyle, A. Yamaguchi, G. Cossu, and A. Portelli, grid: Data parallel c++ mathematical object library, https://github.com/paboyle/Grid.
- P. Boyle, A. Yamaguchi, G. Cossu, and A. Portelli, grid: A next generation data parallel c++ QCD library, Proc. Sci. LATTICE2015 (2016) 023 [arXiv:1512.03487].
- A. Yamaguchi, P. Boyle, G. Cossu, G. Filaci, C. Lehner, and A. Portelli, grid: OneCode and FourAPIs, Proc. Sci. LATTICE2021 (2022) 035 [arXiv:2203.06777].
- A. Portelli, R. Abott, N. Asmussen, A. Barone, P. Boyle et al., aportelli/hadrons: hadrons v1.3 (2022) 10.5281/zenodo.4063666.
- P. Lepage and C. Gohlke, gplepage/lsqfit: lsqfit version 13.2.4 (2024) 10.5281/zenodo.592174.
- G. P. Lepage, B. Clark, C. T. H. Davies, K. Hornbostel, P. B. Mackenzie, C. Morningstar, and H. Trottier (HPQCD Collaboration), Constrained curve fitting, Nucl. Phys. B, Proc. Suppl. 106, 12 (2002).
- P. Lepage, gplepage/corrfitter: corrfitter version 8.2 (2021) 10.5281/zenodo.592232.
- P. Lepage, C. Gohlke, and D. Hackett, gplepage/gvar: gvar version 13.1.1 (2024) 10.5281/zenodo.592129.
This work ignores disconnected strange-quark-loop diagrams, and we label the pseudoscalar instead of or .
- R. Kellermann, A. Barone, A. Elgaziari, S. Hashimoto, Z. Hu, A. Jüttnerc, and T. Kaneko, Systematic effects in the lattice calculation of inclusive semileptonic decays, Proc. Sci. LATTICE2024 (2025) 245 [arXiv:2411.18058].
The amplitude given here differs from [6], since we found a mistake in our previous analysis. We have confirmed that the corrected amplitude does not affect the predicted finite-volume corrections from our previous work.
- M. Ablikim et al. (BESIII Collaboration), Measurement of the absolute branching fraction of inclusive semielectronic decays, Phys. Rev. D 104, 012003 (2021).
- D. M. Asner et al. (CLEO Collaboration), Measurement of absolute branching fractions of inclusive semileptonic decays of charm and charmed-strange mesons, Phys. Rev. D 81, 052007 (2010).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- Z. Hu, A. Barone, A. Elgaziari, S. Hashimoto, A. Jüttner, T. Kaneko, and R. Kellermann, Study on the -wave form factors contributing to to inclusive semileptonic decays from lattice simulations, Proc. Sci., LATTICE2024 (2025) 241 [arXiv:2501.19284].
- A. Jüttner, Standard model tests with smeared experiment and theory, arXiv:2603.15487.