May 2025
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15 Reads
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1 Citation
Physical Review D
We present a measurement of the ratio of partial branching fractions of the semileptonic inclusive decays, B ¯ → X u ℓ ν ¯ to B ¯ → X c ℓ ν ¯ , where ℓ = ( e , μ ) , using the full Belle sample of 772 × 10 6 B B ¯ pairs collected at the ϒ ( 4 S ) resonance. The identification of inclusive B ¯ → X u ℓ ν ¯ decays is difficult due to the abundance of Cabibbo–Kobayashi–Maskawa-favored B ¯ → X c ℓ ν ¯ events, which share a similar event topology. To minimize dependence on the modeling of these channels, a data-driven description of B ¯ → X c ℓ ν ¯ is employed. The ratio is measured via a two-dimensional fit to the squared four-momentum transfer to the lepton pair, and the charged lepton energy in the B meson rest frame, where the latter must be larger than 1 GeV, covering approximately 86% and 78% of the B ¯ → X u ℓ ν ¯ and B ¯ → X c ℓ ν ¯ phase space, respectively. We find Δ B ( B ¯ → X u ℓ ν ¯ ) / Δ B ( B ¯ → X c ℓ ν ¯ ) = ( 1.99 ± 0.1 7 stat ± 0.1 6 syst ) × 10 − 2 , where the uncertainties are statistical and systematic, respectively. We extract | V u b | / | V c b | using two theoretical calculations for the partial decay rate of B ¯ → X u ℓ ν ¯ , finding ( | V u b | / | V c b | ) BLNP = ( 9.81 ± 0.4 2 stat ± 0.3 8 syst ± 0.5 1 Δ Γ ( B ¯ → X u ℓ ν ¯ ) ± 0.2 0 Δ Γ ( B ¯ → X c ℓ ν ¯ ) ) × 10 − 2 and ( | V u b | / | V c b | ) GGOU = ( 10.06 ± 0.4 3 stat ± 0.3 9 syst ± 0.2 3 Δ Γ ( B ¯ → X u ℓ ν ¯ ) ± 0.2 0 Δ Γ ( B ¯ → X c ℓ ν ¯ ) ) × 10 − 2 , where the third and fourth uncertainties are from the partial decay rates of B ¯ → X u ℓ ν ¯ and B ¯ → X c ℓ ν ¯ , respectively. In addition, we report the partial branching fractions separately for charged and neutral B meson decays, and for electron and muon decay channels. We place a limit on isospin breaking in B ¯ → X u ℓ ν ¯ decays, and find no indication of lepton flavor universality violation in either the charmed or charmless mode. Furthermore, we unfold the B ¯ → X u ℓ ν ¯ and B ¯ → X c ℓ ν ¯ yields and report the differential ratio in lepton energy and four-momentum transfer squared. Published by the American Physical Society 2025