Short and Long Distance Interplay in Inclusive $B\to X_d\gamma$ Decays

Abstract

We analyze the short and long distance contributions to inclusive $B\to X_d\gamma$ decay, paying particular attention to the dependence on the Cabibbo-Kobayashi-Maskawa parameter $V_{td}$. We discuss penguin diagrams with internal $u$ and $c$ quarks in the framework of the effective field theory. We also estimate the size of possible long range contributions by using vector meson dominance.

content and results UNCHANGED: only shortened, to fit Phys. Lett. B standards; 9 pages, latex

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• CP Asymmetries in $b\to (s/d)$ Transitions as a Test of CKM CP Violation
• Long Distance Contribution to $s\to d\gamma$ and Implications for ${\Omega }^{-}\to {\Xi }^{-}\gamma ,B_s\to B_d^{\ast }\gamma$ and $b\to s\gamma$
• Flavour Changing Neutral Current Processes in B Decays
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