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Article
Report number	arXiv:2312.17401 ; KEK-TH-2590
Title	Chebyshev and Backus-Gilbert reconstruction for inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD
Author(s)	Barone, Alessandro (U. Mainz, PRISMA ; Southampton U.) ; Hashimoto, Shoji (KEK, Tsukuba ; Sokendai, Tsukuba) ; Jüttner, Andreas (Southampton U. ; CERN) ; Kaneko, Takashi (KEK, Tsukuba ; Sokendai, Tsukuba ; KMI, Nagoya) ; Kellermann, Ryan (KEK, Tsukuba ; Sokendai, Tsukuba)
Publication	2024-05-04
Imprint	2023-12-28
Number of pages	10
Note	10 pages, 6 figures, 40th International Symposium on Lattice Field Theory - Lattice2023
In:	PoS LATTICE2023 (2024) pp.236
In:	40th International Symposium on Lattice Field Theory (Lattice 2023), Fermilab, Batavia, IL, United States, 30 Jul - 5 Aug 2023, pp.236
DOI	10.22323/1.453.0236
Subject category	hep-lat ; Particle Physics - Lattice
Abstract	We present a study on the nonperturbative calculation of observables for inclusive semileptonic decays of $B_{(s)}$ mesons using lattice QCD. We focus on the comparison of two different methods to analyse the lattice data of Euclidean correlation functions, specifically Chebyshev and Backus-Gilbert approaches. This type of computation may eventually provide new insight into the long-standing tension between the inclusive and exclusive determinations of the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements $|V_{cb}|$ and $|V_{ub}|$. We report the results from a pilot lattice computation for the decay $B_s \rightarrow X_c \, l\nu_l$, where the valence quark masses are approximately tuned to their physical values using the relativistic-heavy quark action for the $b$ quark and the domain-wall formalism for the other valence quarks. We address the computation of the total decay rate as well as leptonic and hadronic moments, discussing similarities and differences between the two analysis techniques.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) CC-BY-NC-ND-4.0

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