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A supersymmetric 5D SU(5) grand unification is considered. The SU(5) isbroken down to $G_{SM}=SU(3)\times SU(2)\times U(1)$ by the $Z_2\times Z_2'$assignment of the bulk field(s). The matter fields are located at the fixedpoint(s). In the bulk, a Higgs multiplet $\bar 5_H$(containing the bottomdoublet $H_1$) and the SU(5) gauge multiplet are located. At one fixed point,$H_2$(the top doublet) and the standard model matter multiplets are presented.Because of the difference of the locations of $H_1$ and $H_2$, one can obtain ahierarchy between top and bottom Yukawa couplings. We also present apossibility to understand the $s-\mu$ mass puzzle in this framework of thesplit multiplet.Comment: LaTeX file of 17 pages including 3 eps figures. A note is added and  typo errors corrected. To appear in Euro. Phys. J.

Top–bottom mass hierarchy, $s-\mu$ puzzle and gauge coupling unification with split multiplets