Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-02-10
Physics
High Energy Physics
High Energy Physics - Phenomenology
RevTeX, 17 pages, 7 figures. High resolution figures available upon request
Scientific paper
We study the radiative $B \to K \eta^{(\prime)} \gamma$ decays, which are important to investigate CP violation, and are also relevant to assess the role of the exclusive modes induced by the $b \to s \gamma$ transition to saturate the inclusive $B \to X_s \gamma$ decay rate. Moreover, these channels do not display the same hierarchy as $B \to K \eta^{(\prime)}$ modes, for which the decay into $\eta^\prime$ is enhanced with respect to one into $\eta$. The three-body radiative decays reverse the role: we find that this experimentally observed behaviour (although affected by a large uncertainty in the case of the $\eta^\prime$) is reproduced in the theoretical analysis. We compute a $B^* \to K$ form factor, needed for this study, using light-cone QCD sum rules, and discuss a relation expected to hold in the large energy limit for the light meson. Finally, we examine $B\to K \eta \gamma$ in two extensions of the standard model with universal extra dimensions, to obtain bounds for the compactification radii of such new physics models.
Biancofiore Pietro
Colangelo Pietro
Fazio Fulvia de
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