Model-independent constraints on the weak phase {alpha} (or {phi}{sub 2}) and QCD penguin pollution in B{yields}{pi}{pi} decays

We present an algebraic isospin approach towards a more straightforward and model-independent determination of the weak phase {alpha} (or {phi}{sub 2}) and QCD penguin pollution in B{yields}{pi}{pi} decays. The world averages of current experimental data allow us to impose some useful constraints on the isospin parameters of B{yields}{pi}{pi} transitions. We find that the magnitude of {alpha} (or {phi}{sub 2}) extracted from the indirect CP violation in the {pi}{sup +}{pi}{sup -} mode is in agreement with the standard-model expectation from other indirect measurements, but its fourfold discrete ambiguity has to be resolved in the near future.