Penguin Loops for Nonleptonic B-Decays in the Standard Model: Is there a Penguin Puzzle?

Understand

We compute standard model penguin amplitudes in nonleptonic B-decays to light charmless mesons using tree amplitude data to fix hadronic parameters.

• The leading calculation is carried out for the alphas(mb) penguin contributions from charm quark, up quark, and magnetic penguin loops in the NDR and HV renormalization schemes.
• Power suppressed penguins that are proportional to the chiral condensate are also computed using a new factorization formula for these terms, which is derived working to all orders in alphas(sqrt{mb\Lambda}).
• We demonstrate using SCET1 that this formula exhibits only small perturbative phases and does not have endpoint singularities.