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Penguin contribution to the width difference and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math> asymmetry in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>B</mml:mi><mml:mi>q</mml:mi></mml:msub><mml:mo>−</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>B</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover><mml:mi>q</mml:mi></mml:msub></mml:math> mixing at order <mml:math…
We present new contributions to the decay matrix element ${\mathrm{\ensuremath{\Gamma}}}_{12}^{q}$ of the ${B}_{q}\ensuremath{-}{\overline{B}}_{q}$ mixing complex, where $q=d$ or $s$. Our new results constitute the order ${\ensuremath{\alpha}}_{s}^{2}{N}_{f}$ corrections to the penguin contributions to the Wilson coefficients entering ${\mathrm{\ensuremath{\Gamma}}}_{12}^{q}$ with full dependence on the charm quark mass. This is the first step …