Bₛ,d-Bₛ,d mixings and Bₛ,d→ℓ+ℓ- decays within the Manohar-Wise model

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In this paper, we perform a complete one-loop computation of the short-distance Wilson coefficients for Bₛ,d-Bₛ,d mixings and Bₛ,d→ℓ+ℓ- decays in the Manohar-Wise model, which extends the SM scalar sector by a colour-octet and weak-doublet scalar. Based on these calculations, combined constraints on the model parameters are derived from the current flavour data, including the Bₛ,d-Bₛ,d mixings, Bₛ,d→μ+μ-, B→ Xₛγ, B→ Kγ, B→ργ, and Z→ b b decays. The future sensitivity to the model is also explored in the observables achievable with 50 fb⁻¹ of LHCb and 50 ab⁻¹ of Belle-II data. We find that the Manohar-Wise model could explain the current data, especially when the couplings of the charged colour-octet scalars to quarks are complex, with the resulting χ² min being significantly smaller than that of the SM. Finally, we investigate correlations among the two isospin asymmetries Δ(K*γ) and Δ(ργ), as well as the averaged time-integrated branching ratios B(Bₛ,d→ μ+μ-); some of them are found to be quite strong and could, therefore, provide further insights into the model, once more precise experimental measurements and theoretical predictions for these observables are available in the future.