$B \to D^*\ellν_\ell$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks
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arXiv
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| Auteurs principaux: | , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910469953945600 |
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| author | Aoki, Y. Colquhoun, B. Fukaya, H. Hashimoto, S. Kaneko, T. Kellermann, R. Koponen, J. Kou, E. |
| author_facet | Aoki, Y. Colquhoun, B. Fukaya, H. Hashimoto, S. Kaneko, T. Kellermann, R. Koponen, J. Kou, E. |
| contents | We calculate the form factors for the $B \to D^*\ellν_\ell$ decay in 2+1 flavor lattice QCD. For all quark flavors, we employ the Möbius domain-wall action, which preserves chiral symmetry to a good precision. Our gauge ensembles are generated at three lattice cutoffs $a^{-1} \sim 2.5$, 3.6 and 4.5 GeV with pion masses as low as $M_π\sim 230$ MeV. The physical lattice size $L$ satisfies the condition $M_πL \geq 4$ to control finite volume effects (FVEs), while we simulate a smaller size at the smallest $M_π$ to directly examine FVEs. The bottom quark masses are chosen in a range from the physical charm quark mass to $0.7 a^{-1}$ to control discretization effects. We extrapolate the form factors to the continuum limit and physical quark masses based on heavy meson chiral perturbation theory at next-to-leading order. Then the recoil parameter dependence is parametrized using a model independent form leading to our estimate of the decay rate ratio between the tau ($\ell = τ$) and light lepton ($\ell = e,μ$) channels $R(D^*) = 0.252(22)$ in the Standard Model. A simultaneous fit with recent data from the Belle experiment yields $|V_{cb}| = 39.19(91)\times 10^{-3}$, which is consistent with previous exclusive determinations, and shows good consistency in the kinematical distribution of the differential decay rate between the lattice and experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_05657 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $B \to D^*\ellν_\ell$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks Aoki, Y. Colquhoun, B. Fukaya, H. Hashimoto, S. Kaneko, T. Kellermann, R. Koponen, J. Kou, E. High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We calculate the form factors for the $B \to D^*\ellν_\ell$ decay in 2+1 flavor lattice QCD. For all quark flavors, we employ the Möbius domain-wall action, which preserves chiral symmetry to a good precision. Our gauge ensembles are generated at three lattice cutoffs $a^{-1} \sim 2.5$, 3.6 and 4.5 GeV with pion masses as low as $M_π\sim 230$ MeV. The physical lattice size $L$ satisfies the condition $M_πL \geq 4$ to control finite volume effects (FVEs), while we simulate a smaller size at the smallest $M_π$ to directly examine FVEs. The bottom quark masses are chosen in a range from the physical charm quark mass to $0.7 a^{-1}$ to control discretization effects. We extrapolate the form factors to the continuum limit and physical quark masses based on heavy meson chiral perturbation theory at next-to-leading order. Then the recoil parameter dependence is parametrized using a model independent form leading to our estimate of the decay rate ratio between the tau ($\ell = τ$) and light lepton ($\ell = e,μ$) channels $R(D^*) = 0.252(22)$ in the Standard Model. A simultaneous fit with recent data from the Belle experiment yields $|V_{cb}| = 39.19(91)\times 10^{-3}$, which is consistent with previous exclusive determinations, and shows good consistency in the kinematical distribution of the differential decay rate between the lattice and experimental data. |
| title | $B \to D^*\ellν_\ell$ semileptonic form factors from lattice QCD with Möbius domain-wall quarks |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2306.05657 |