Penguin diagrams, charmless<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>decays, and the “missing charm puzzle”
Penguin diagrams, charmless<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>decays, and the “missing charm puzzle”
We calculate the contributions of penguin diagrams with internal $u$ or $c$ quarks to various inclusive charmless $B$-decay rates. Further we analyze the influence of the chromomagnetic dipole operator ${Q}_{8}$ on these rates. We find that the rates corresponding to $\overline{B}\ensuremath{\rightarrow}{X}_{u\ifmmode \bar{u}\else \={u}\fi{}s},$ $\overline{B}\ensuremath{\rightarrow}{X}_{d\overline{d}s},$ $\overline{B}\ensuremath{\rightarrow}{X}_{s\overline{s}s},$ $\overline{B}\ensuremath{\rightarrow}{X}_{s\overline{s}d},$ and $\overline{B}\ensuremath{\rightarrow}{X}_{d\overline{d}d}$ are dominated …