Eur. Phys. J. C (2006) 45: 693-700
https://doi.org/10.1140/epjc/s2005-02432-5

Theoretical Physics

Annihilation contribution and B → a ₀π, f ₀ K decays

¹ Instituto de Física, Universidad de Guanajuato, Loma del Bosque 103, Lomas del Campestre, 37150, León, Guanajuato, México
² Depto. de Física, Universidad Industrial de Santander, A.A. 678, Bucaramanga, Colombia

^* e-mail: delepine@fisica.ugto.mx

Received: 17 May 2005
Published online: 24 January 2006

Abstract

We analyze the and B ^–,0 → f ₀ K ^–,0 decays and show that a consistent phenomenological picture can be obtained within the factorization approximation. In this approach the O ₆ operator provides the dominant contributions to the suppressed channel . An estimate of the annihilation form factor using perturbative QCD indicates that this contribution is not negligible, moreover interference with other penguin contributions includes a free parameter since the phase of the annihilation amplitude is not determined. Assumptions based on SU(2) isospin symmetry provide relations between different B decays involving one scalar and one pseudoscalar meson.