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

Abstract

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 $\infty - \infty$ 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.