Tamed loops: A way to obtain finite loop results without UV divergences

For loops with UV divergences, assuming that the physical contributions of loops from UV regions are insignificant, a method of UV-free scheme described by an equation is introduced to derive loop results without UV divergences in calculations, i.e., a route of the analytic continuation ${\mathcal{T}}_{\mathrm{F}}\to {\mathcal{T}}_{\mathrm{P}}$ besides the traditional route $\mathrm{\infty }-\mathrm{\infty }$ in mathematical structure. This scheme provides a new perspective to an open question of the hierarchy problem of Higgs mass, i.e., an alternative interpretation without fine-tuning within the standard model.