- #1
Valeriia Lukashenko
- 8
- 1
Homework Statement
Consider decay ##\bar{B^0_s}\rightarrow D^+_s \pi^-## and calculate its mixing-induces CP asymmetry.
Homework Equations
$$\xi_f^{s}=e^{i\theta_{M_{12}}} \frac{A(\bar{B^0_q}\rightarrow f)}{A(B^0_q \rightarrow f)}=\pm e^{-i\phi_s}\frac{ e^{i\phi_1}|A_1|e^{i\delta_1}+e^{i\phi_2}|A_2|e^{i\delta_2}}{e^{-i\phi_1}|A_1|e^{i\delta_1}+e^{-i\phi_2}|A_2|e^{i\delta_2}}$$
$$\phi_s=2\arg(V^*_{ts}V_{tb})$$
##\phi_1, \phi_2## are CKM phases.
The Attempt at a Solution
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I could easily draw diagram for ##\bar{B^0_s}\rightarrow D^+_s \pi^-##, but I got stuck on drawing ##B^0_s \rightarrow D^+_s \pi^-##. I couldn't find this decay in pdg. But I need it to evaluate ## \xi_f^{s}##. How should I evaluate ##B^0_s\rightarrow D^+_s \pi^-## amplitude then?