SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays

Details SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays SCET Analysis of B -> K pi, B -> K Kbar, and B -> pi pi Decays

2005-10-19

arxiv.org/abs/hep-ph/0510241v2

Phys.Rev.D74:034010,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Added one relation for B->KK decays in the SU(3) limit. Added some references. Results and conclusions unchanged. 23 pages, 4

Scientific paper

10.1103/PhysRevD.74.034010

B -> K pi and related decays are studied in the heavy quark limit of QCD using the soft collinear effective theory (SCET). We focus on results that follow solely from integrating out the scale mb, without expanding the amplitudes for the physics at smaller scales such as alphas(sqrt{Epi LambdaQCD}). The reduction in the number of hadronic parameters in SCET leads to multiple predictions without the need of SU(3). We find that the CP-asymmetry in $B^-\to pi^0 K^-$ should have a similar magnitude and the same sign as the well measured asymmetry in $\bar B^0 \to\pi^+ K^-$. Our prediction for Br(K^+\pi^-) exceeds the current experimental value at the 2 sigma level. We also use our results to determine the corrections to the Lipkin and CP-asymmetry sum rules in the standard model and find them to be quite small, thus sharpening their utility as a tool to look for new physics.

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