Constraining Charming Penguins in Charmless B Decays

Abstract

We discuss the correlations of charming penguin contributions to $B\to \pi \pi$, $\pi K$ and KK using approximate flavor SU(3) symmetry. Strong constraints are found from the direct CP asymmetries especially in $\pi K$ modes. We make a global fit to the latest data and find that only a small charming penguin is allowed, and the size of color-suppressed tree amplitude (C) relative to tree amplitudes (T) remains large $C/T\simeq 0.6$, which disfavors the possibility of a large charming penguin as an explanation for the $\pi \pi$ puzzle. We show that a small charming penguin can still have sizable effect in the time-dependence CP asymmetries in KK mode.

Comments: 22 pages, 6 figures, references added