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Semileptonic $B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell$ decay with $\pi\pi$ invariant mass spectrum
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abstract
BELLE has recently reported the measurement of the branching fraction of the semileptonic $B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell$ decay, where $\ell$ represents an electron or a muon. With the new information on the $\pi\pi$ invariant mass spectrum, we extract $|V_{ub}|=(3.31\pm 0.61)\times 10^{-3}$ in agreement with those from the other exclusive $B$ decays. In particular, we determine the non-resonant $B\to\pi\pi$ transition form factors, and predict the non-resonant branching fraction ${\cal B}(B^{-}\to\pi^{+}\pi^{-}\ell^{-}\bar\nu_\ell)=(3.5\pm 1.4^{+4.3}_{-2.4})\times 10^{-5}$, which is accessible to the BELLEII and LHCb experiments.
Forward citations
Cited by 4 Pith papers
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$B \to \rho \ell \bar{\nu}$ resonance form factors from $B \to \pi\pi \ell \bar{\nu}$ in lattice QCD
First lattice QCD calculation of B to rho semileptonic form factors with the rho treated as a resonant pi-pi state, using the Lellouch-Luscher formalism.
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Probing the elusive $\kappa/K_0^*(700)$ resonance in semileptonic $D$ decays
A reanalysis of D meson decay data extracts a D-to-kappa form factor that assigns most of the s-wave rate to the kappa and matches the tetraquark prediction.
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Flavor SU(3) analysis of the charmless semileptonic $B \to PV\ell^+\nu_\ell$ decays
The paper predicts branching ratios of charmless B to PV l nu decays mediated by axial-vector, tensor, and excited vector resonances using SU(3) flavor symmetry, finding several modes at 10^-4 to 10^-3.
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Studying the tensor resonance contributions in $B \to PP\ell^+\ell^-$ and $B \to PV\ell^+\ell^-$ decays
Tensor-resonance contributions to B → PPℓ⁺ℓ⁻ and B → PVℓ⁺ℓ⁻ are small compared with measured totals once SU(3)-related B → Tℓ⁺ℓ⁻ rates are fixed to Bs → f′₂(1525)μ⁺μ⁻.
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