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arXiv · 2501.19284

Study on the $P$-wave form factors contributing to $ B_s $ to $D_s$ inclusive semileptonic decays from lattice simulations

Zhi Hu·Alessandro. Barone·Ahmed Elgaziari·Shoji Hashimoto·Andreas Jüttner·Takashi Kaneko·Ryan Kellermann
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Abstract

We present a pilot study on extracting the form factors of the semileptonic decay of a $ B_s $ meson to the $P$-wave $ D_s^{**} $ states from $B_s$ four-point correlators. With their inclusive nature, four-point correlators include contributions from all possible final states. From the extracted $ P $-wave form factors, we obtain numerical results for the corresponding Isgur-Wise form factors. The results suggest significant contributions from radial excitations to the Uraltsev sum rule at zero-recoil. In this pilot study, a coarse lattice of $ 24^3\times 64 $ with lattice spacing of $0.11\,\mathrm{fm}$ is used for the analysis.

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Zhi Hu, Alessandro. Barone, Ahmed Elgaziari, Shoji Hashimoto, Andreas Jüttner, Takashi Kaneko, Ryan Kellermann. 2025-01-31. Study on the $P$-wave form factors contributing to $ B_s $ to $D_s$ inclusive semileptonic decays from lattice simulations. https://arxiv.org/abs/2501.19284

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