Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-06-18
Phys.Rev.D78:111501,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
4+1 pages, 7 figures, update to ICHEP08 data, to appear as Rapid Communication in Physical Review D
Scientific paper
10.1103/PhysRevD.78.111501
Using isospin relations, we predict the Standard-Model correlation between S_{pi^0 K_S}=(sin 2beta)_{pi^0 K_S} and A_{pi^0 K_S}, the mixing-induced and direct CP asymmetries of B^0-> pi^0 K_S. The calculation uses flavour SU(3) only to fix the isospin-3/2 amplitude through the B^\pm->pi^\pm pi^0 branching ratio, and thus has a small irreducible theoretical error. It can reach percent level precision thanks to expected future lattice-QCD progress for the calculation of the relevant SU(3)-breaking form-factor ratio, and serves as a benchmark for new-physics searches. We obtain an interesting picture in the A_{pi^0 K_S} - S_{pi^0 K_S} plane, where the current experimental data show a discrepancy with the Standard Model, and comment on the direct CP asymmetries of B^0->pi^-K^+ and B^+ -> pi^0 K^+. A modified electroweak penguin with a large new CP-violating phase can explain the discrepancy and allows us to accommodate also the corresponding data for other b->s penguin-dominated decays.
Fleischer Robert
Jäger Sebastian
Pirjol Dan
Zupan Jure
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