  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. A
structure in the invariant mass distribution of $\rm{B_s^0 \pi^+}$ has been
observed by the D0 Collaboration with a mass value of 5568 MeV but not
confirmed by any of the latest searches from the other Collaborations. Limits
have 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 the
decay $\rm{X^{\pm}(5568) \rightarrow B^0_s\pi^\pm}$.
  By applying a statistical combination of limits set by the three LHC
experiments, 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 including
the CDF result in the combination is also discussed.
