Investigation of $B_{u,d}\to (π, K) π$ decays within unparticle physics

Abstract

We investigate the implication of unparticle physics on the B_{u,d}\to (π, K) πdecays under the constraints of the B_{d,s}-\bar B_{d,s} mixing. We found that not only the unparticle parameters that belong to the flavor changing neutral current (FCNC) processes but also scaling dimension d_{\UP} could be constrained by the B_{d,s}-\bar B_{d,s} mixing phenomenology. Employing the minimum χ^2 analysis to the B_{u,d}\to (π, K) πdecays with the constraints of B_{d,s} mixing, we find that the puzzle of large branching ratio for B_{d}\to π^0 π^0 and the discrepancy between the standard model estimation and data for the direct CP asymmetry of B^+ \to K^+ π^0 and B_d \to π^+π^- can be resolved well. However, the mixing induced CP asymmetry of B_d\to K_S π^0 could not be well accommodated by the unparticle contributions.