Tree-level contributions to the rare decays B+→π+νν¯, B+→K+νν¯, and B+→K*+νν¯ in the Standard Model

2009/08/08 by Jernej F. Kamenik, Christopher Smith · 1 voice · 2 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Combinatorics #Lepton #Mathematics #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Tree (set theory) #hep-ph

paper · pdf · doi:10.1016/j.physletb.2009.09.041

published as Phys.Lett.B680:471-475,2009 · 5 pages, 6 figures

arxiv created 2009/08/08 · arxiv published 2009/08/08 · arxiv updated 2009/08/08 · openalex publication_date 2009/09/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Review of Particle Physics
• B→Vγbeyond QCD factorization
• Improved estimates of rareKdecay matrix elements fromKℓ3decays
• Rare charm decays in the standard model and beyond
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Particle-antiparticle mixing, CP violation and rare K and B decays in a minimal theory of fermion masses
• The anatomy of quark flavour observables in 331 models in the flavour precision era

Discussions

• Except there are nonlocal contributions mimicking B⁺→ K⁺νν̅! Kamenik and Smith calculated them in arxiv.org/abs/0908.1174. They arise from doubly-weak processes, dominantly with a tau. Luckily, they o [bsky, 0 points, 1 comments]

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