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Improving bounds on flavor changing vertices in the two Higgs doublet model from B^0-\bar{B}^0 mixing
Authors:RA Diaz  R Martinez  CE Sandoval
Institution:1. Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia
2. II. Institut für Theoretische Physik, Universit?t Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany
Abstract:We find some constraints on the flavor changing vertices of the two Higgs doublet model, from the ${\Delta}M_{B_{\text{d}}}$ measurement. Although bounds from this observable have already been considered, this paper takes into account the role of a new operator not included previously, as well as the vertices $\xi_{bb}$ , $\xi_{tc}$ and $\xi_{sb}$ . Using the Cheng–Sher parametrization, we find that for a relatively light charged Higgs boson (200–300 GeV), we obtain $\vert\lambda_{tt}\vert\lesssim1$ , while the parameter $\lambda_{bb}$ could have values up to about 50. In addition, we use bounds for $\lambda_{tt}$ and $\lambda_{bb}$ obtained from $B^0\rightarrow X_s\gamma$ at next to leading order, and study the case where the only vanishing vertex factors are the ones involving quarks from the first family. We obtain that ${\Delta} M_{B_{\text{d}}}$ is not sensitive to the change of the parameter $\lambda_{sb}$ , while $\vert\lambda_{tc}\vert\lesssim1$ .
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