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In Type IIB flux compactification realizing the metastable de Sitter (dS)vacuum, the uplift potential can be generated by $\overline{\rm D3}$-branes atthe tip of Klebanov-Strassler throat. Then the uplift potential obeys thescaling law with respect to the tower mass scale $m_{\rm sc}$, which can be theKaluza-Klein (KK) mass scale associated with the throat containing$\overline{\rm D3}$-branes or the bulk tower mass scales, depending on thewarping of the throat. On the other hand, in the presence of another throat ofstronger warping, the KK mass scale associated with this throat is lower than$m_{\rm sc}$. Nevertheless, the Higuchi bound and the condition that the towermass scale is higher than the gravitino mass provide the upper bound on $m_{\rmsc}$ determined by the lowest tower mass scale (or gravitino mass). This boundalso can be interpreted as the lower bound on the lowest tower mass scaledetermined by $m_{\rm sc}$. We investigate this bound in detail when the throatcontaining $\overline{\rm D3}$-branes is strongly and weakly warped,respectively.

Bounds on tower mass scales in the presence of throats of different warping