Possible Effects of $D^0-{\bar{D}}^0$ Mixing in Weak $B$ Decays

Abstract

$D^0-{\bar{D}}^0$ mixing at a detectable level requires the presence of new physics and may lead to some observable effects in weak decays of $B$ mesons. We show that $CP$ violation induced by $D^0-{\bar{D}}^0$ mixing can manifest itself in the decay-rate asymmetry of $B_u^{+}\to D_{L(H)}{l}^{+}{\nu }_l^{}$ vs $B_u^{-}\to D_{L(H)}{l}^{-}{\bar{\nu }}_l^{}$. A rephasing-invariant generalization of the Gronau-Wyler approach is made to determine the weak phase shift in $B_u^{\pm }\to D_{L(H)}{K}^{\pm }$, which is only sensitive to the underlying new physics in $D^0-{\bar{D}}^0$ mixing. We also demonstrate the possible effect of $D^0-{\bar{D}}^0$ mixing on $CP$ violation in decay modes of the type $B_d\to D_{L(H)}+({\pi }^0,{\rho }^0,\mathrm{etc})$. Finally the model of four quark families is taken as an example to illustrate how the new physics affects $D^0-{\bar{D}}^0$ mixing, $B_d^0-{\bar{B}}_d^0$ mixing and $CP$ asymmetries in the relevant $B$ decays.

Postscript 10 pages

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Cited by in corpus (6)

• D^0-\bar{D}^0 Mixing and CP Violation in Neutral D-meson Decays
• New CP-violating parameters in cascade decays
• Detecting new physics contributions to the D0-D0bar mixing through their effects on B decays
• Search for New Physics in CP-violating B Decays
• A Determination of the Weak Phase γfrom Color-allowed B^{\pm}_u \to DK^{\pm} Decays
• D^0 \to K^{\pm}π^{\mp} and CP Violation at a τ-charm Factory