The B-CP Puzzles in QCD Factorization

TL;DR

This paper investigates the discrepancies in CP asymmetry predictions within QCD factorization for B meson decays, exploring power corrections like penguin annihilation and soft effects to resolve these puzzles.

Contribution

It introduces two types of power correction effects to address CP violation sign discrepancies and decay rate issues in B meson decay predictions.

Findings

Power corrections improve agreement with observed decay rates.

Penguin annihilation and soft corrections help resolve CP puzzle signs.

Enhanced theoretical understanding of B decay mechanisms.

Abstract

Within the framework of QCD factorization (QCDF), power corrections due to penguin annihilation can account for theobserved rates of penguin-dominated two-body decays of $B$ mesons and direct CP asymmetries $A_{CP}(K^-\pi^+)$, $A_{CP}((K^{*-}\pi^+)$, $A_{CP}((K^-\rho^0)$ and $A_{CP}((\pi^+\pi^-)$. However, the predicted direct CP-violating effects in QCDF for $B^-\to K^-\pi^0,K^-\eta,\pi^-\eta$ and $\bar B^0\to\pi^0\pi^0$ are wrong in signs when confronted with experiment. We consider two different types of power correction effects in order to resolve the CP puzzles and rate deficit problems with penguin-dominated two-body decays of $B$ mesons and color-suppressed tree-dominated $\pi^0\pi^0$ and $\rho^0\pi^0$ modes: penguin annihilation and soft corrections to the color-suppressed tree amplitude.