Search

For a number of years, there has been a certain inconsistency among the measurements of the branching ratios and CP asymmetries of the four B → π K decays ( B → π K, B → π K, B → π K, B → π K). In this paper, we re-examine this B → π K puzzle. We find that the key unknown parameter is | C /T |, the ratio of color-suppressed and color-allowed tree amplitudes. If this ratio is large, | C /T | = 0 .5, the SM can explain the data. But if it is small, | C /T | = 0 .2, the SM cannot explain the B → π K puzzle -new physics (NP) is needed. The two types of NP that can contribute to B → π K at tree level are Z bosons and diquarks. Z models can explain the puzzle if the Z couples to right-handed uū and/or $$ d\overline{d} $$ , with g ≠ g. Interestingly, half of the many Z models proposed to explain the present anomalies in b → sμ μ decays have the required Z couplings to uū and/or $$ d\overline{d} $$ . Such models could potentially explain both the b → sμ μ anomalies and the B → π K puzzle. The addition of a color sextet diquark that couples to ud can also explain the puzzle. [ABSTRACT FROM AUTHOR]