CP violation in Bd,ₛ → l+l- in the model III 2HDM

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We have calculated the Wilson coefficients C₁₀, CQᵢ (i=1,2) in the MS renormalization scheme in the model III 2HDM. Using the obtained Wilson coefficients, we have analyzed the CP violation in decays B⁰q→ l+l- (q=d,s) in the model. The CP asymmetry, ACP, depends on the parameters of models and ACP in Bd→ l+l- can be as large as 40% and 35% for l=τ and l=μ respectively. It can reach 4% for B⁰ₛ decays. Because in SM CP violation is smaller than or equal to O(10⁻³) which is unobservably small, an observation of CP asymmetry in the decays B⁰q → l+l- (q=d,s) would unambiguously signal the existence of new physics.