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Tree-level contributions to the rare decays B+ --> pi+ nu anti-nu, B+ --> K+ nu anti-nu, and B+ --> K*+ nu anti-nu in the Standard Model

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arxiv 0908.1174 v1 pith:6N7Z2MCD submitted 2009-08-08 hep-ph

classification hep-ph
keywords anti-nucontributionsdecaystree-levelrarethoseusedaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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The tree-level contributions to the rare decays B+ --> pi+ nu anti-nu, B+ --> K+ nu anti-nu, and B+ --> K*+ nu anti-nu are analyzed and compared to those occurring in K+ --> pi+ nu anti-nu, D+ --> pi+ nu anti-nu, and Ds+ --> pi+ nu anti-nu. It is shown that these purely long-distance contributions, arising from the exchange of a charged lepton, can be significant in B+ decays for an intermediate tau, potentially blurring the distinction between the modes used to extract B --> tau nu and those used to probe the genuine short-distance b --> (s,d) nu anti-nu FCNC transitions. Numerically, the tree-level contributions are found to account for 97%, 12% and 14% of the total B+ --> pi+ nu anti-nu, B+ --> K+ nu anti-nu, and B+ --> K*+ nu anti-nu rates, respectively.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Challenging Majorana neutrino effects in $B\to K^{(\ast)}\nu\nu$ and $K\to \pi\nu\nu$ decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Belle-II's B→Kνν excess cannot be explained by dimension-7 lepton-number-violating SMEFT operators without fine-tuning neutrino masses, while a light sterile-neutrino extension can, with testable decay spectra.

  2. A Dispersive Look at Rare $B$-meson Semileptonic Decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Lattice-only Dispersive Matrix form factors enlarge large-recoil uncertainties and, with new angular data, favour long-distance hadronic effects over a short-distance C9 New Physics shift.

  3. Are the new particles heavy or light in $b \to s E_{\mathrm{miss}}$?

    hep-ph 2024-12 conditional novelty 6.0 of 10

    The K* longitudinal polarization fraction separates heavy NP, light vector, and ALP explanations of the Belle-II B+ to K+ missing-energy excess, while the Lambda_b to Lambda polarization tags operator chirality.

  4. On the Interplay of Constraints from $B_s$, $D$, and $K$ Meson Mixing in $Z^\prime$ Models with Implications for $b\to s \nu\bar\nu$ Transitions

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In Z' models with suppressed B_s mixing, SU(2)L and SMEFT RG correlations tie the B_s, D, and K sectors together and predict B to K(K*) nu nu enhancements of up to 20% when b to s mu mu rates are suppressed.

  5. Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions

    hep-ph 2024-12 conditional novelty 6.0 of 10

    New subleading-power corrections to B to K* form factors from SCET sum rules yield SM branching fractions BR(Bbar0 to Kbar*0 nu nubar)=8.09(96)e-6 and F_L=0.44(4).

  6. Probing $B^+ \to K^+$ semi-leptonic FCNC decay with new physics effects under PQCD approach

    hep-ph 2024-12 conditional novelty 5.0 of 10

    An improved PQCD plus lattice calculation of B to K semileptonic FCNC form factors confirms a 2.7 sigma excess in B+ to K+ nu nubar and a deficit in B+ to K+ l+ l-, and rules out single-leptoquark explanations using B...

  7. The rare decay $B^+ \to K^+\ell^+\ell^-(\nu\bar{\nu})$ under the QCD sum rules approach

    hep-ph 2024-11 conditional novelty 4.0 of 10

    A QCD light-cone sum-rule calculation with the authors' kaon distribution amplitudes predicts B(B+ to K+ nu nubar) = 4.14 x 10^-6 and B(B+ to K+ l+l-) around 6.6 x 10^-7, consistent with other SM estimates.

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