2003/04/29 by J. O. Eeg, Krešimir Kumerički, K. Kumericki +2 · 1 citation
Physics and Astronomy · #Amplitude #Anomaly (physics) #Black Holes and Theoretical Physics #Combinatorics #Electroweak interaction #Gluon #Graph #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Vertex (graph theory) #hep-ph
paper · pdf · doi:10.1016/s0370-2693(03)00637-3
published as Phys.Lett. B563 (2003) 87-92 · 11 pages, 4 figures, LaTeX + elsart.cls, to appear in Phys. Lett. B
arxiv created 2003/04/29 · openalex publication_date 2003/05/19 · arxiv updated 2009/11/30 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
In addressing the B --> eta' K puzzle, there has been a considerable hope in the literature to resolve it by the QCD anomaly contribution to the b --> s eta' amplitude. This contribution corresponds to the electroweak b --> s g* g* transition followed by the off-shell gluon fusion g* g* --> eta'. In the present paper we perform a critical reassessment of this issue. We show that for the hard virtual gluons in a loop there is a well defined short distance amplitude corresponding to a remnant of the QCD anomaly. However, we find that it cannot account for the measured amplitude. In addition, we point out that the reduction of the gluon fusion vertex for the off-shell gluons is compensated by an absence of the claimed suppression in the electroweak vertex, and that some nonperturbative contributions related to the QCD anomaly may still be viable in explaining the physical B --> eta' K amplitude.