Achieving effective renormalization scale and scheme independence via the Principle of Observable Effective Matching

Understand

In this work, we explicate a new approach for eliminating renormalization scale and scheme (RSS) dependence in observables.

• We develop this approach by matching RSS dependent observables (such as cross-sections and decay rates) to a theory which is independent of both these forms of dependencies.
• We term the fundamental basis behind this approach as the principle of observable effective matching (POEM), which entails matching of a scale- and scheme-dependent observable with the fully physical scale (PS) and dynamical scale-dependent theory at loop orders at which RSS independence is guaranteed.
• This is aimed toward achieving so-called "effective" RSS-independent expressions as the resulting dynamical dependence is derived from a particular order in RSS-dependent perturbation theory.