Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-04-29
Phys.Lett. B563 (2003) 87-92
Physics
High Energy Physics
High Energy Physics - Phenomenology
11 pages, 4 figures, LaTeX + elsart.cls, to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(03)00637-3
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.
Eeg Jan O.
Kumericki Kresimir
Picek Ivica
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