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A statistical combination of the search results for the narrow$\rm{X^{\pm}(5568)}$ resonance decaying into $\rm{B_s^0 \pi^+}$ is reported,based on published results from the ATLAS, CMS, CDF and LHCb Collaborations. Astructure in the invariant mass distribution of $\rm{B_s^0 \pi^+}$ has beenobserved by the D0 Collaboration with a mass value of 5568 MeV but notconfirmed by any of the latest searches from the other Collaborations. Limitshave been set on the relative production rate $\rm{\rho_X}$ of the$\rm{X^{\pm}(5568)}$ and $\rm{B^0_s}$ states, times the branching ratio for thedecay $\rm{X^{\pm}(5568) \rightarrow B^0_s\pi^\pm}$.  By applying a statistical combination of limits set by the three LHCexperiments, we derive a limit at 95\% Confidence Level of $\rho_X < 0.0092$for $p_T(B^0_s)>$ 10 GeV, and $\rho_X < 0.0091$ for $p_T(B^0_s)>$ 15 GeV,superseding the previous most stringent upper limits. The effect of includingthe CDF result in the combination is also discussed.

Statistical combination of searches for the $\rm{X^{\pm}(5568)}$ state decaying into $\rm{B^0_s \pi^\pm}$