Combined time-integrated CP asymmetry A_CP and B(K_S to mu mu) measurements, using known B(K_L to mu mu) and B(K_L to gamma gamma), extract the short-distance amplitude |A^2 lambda^5 eta-bar| and resolve the discrete ambiguity in the SM prediction for B(K_L to mu mu).
Three-loop QCD corrections to B_s -> mu^+ mu^-
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abstract
The decay B_s -> mu^+ mu^- in the Standard Model is generated by the well-known W-box and Z-penguin diagrams that give rise to an effective quark-lepton operator Q_A at low energies. We compute QCD corrections of order alpha_s^2 to its Wilson coefficient C_A. It requires performing three-loop matching between the full and effective theories. Including the new corrections makes C_A more stable with respect to the matching scale mu_0 at which the top-quark mass and alpha_s are renormalized. The corresponding uncertainty in |C_A|^2 gets reduced from around 1.8% to less than 0.2%. Our results are directly applicable to all the B_{s(d)} -> l^+ l^- decay modes.
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CP violation in $K\to\mu^+\mu^-$ with and without time dependence through a tagged analysis
Combined time-integrated CP asymmetry A_CP and B(K_S to mu mu) measurements, using known B(K_L to mu mu) and B(K_L to gamma gamma), extract the short-distance amplitude |A^2 lambda^5 eta-bar| and resolve the discrete ambiguity in the SM prediction for B(K_L to mu mu).