can be written as a sum of contributions characterized by $Q$ and $R$, where $Q$ and $R$ indicate the presence of an intermediate meson or baryon state of mass, $m_Q$ or $M_R$, respectively. The previous computations [@Semke2005; @Semke:2011ez; @Semke:2012gs; @Lutz:2012mq; @Lutz:2014oxa] are based on the Passarino-Veltman reduction scheme. Results that are consistent with the expected chiral power as deduced by conventional dimensional counting rules are obtained by a minimal subtraction of the scalar loop diagrams that define the Passarino-Veltman reduction [@Semke2005]. At the one-loop level expressions can always be cast into a form where the scale dependence of a given diagram is exclusively determined by the coefficient in front of the scalar tadpole term $\bar I_Q$, a structure already encountered here in (\[def-tadpole-integral\]). It was argued in [@Semke2005] that tadpole terms involving a ’heavy’ particle mass, i.e. $M_R$ in our case, can be dropped consistently without violating chiral Ward identities. Scale independent results are obtained once suitable counter terms of chiral order $Q^4$ and higher are activated. The leading chiral order of the one-loop diagrams starts at chiral order $Q^3$, where one does not expect a scale dependence. Thus at this order all terms proportional to $m_Q^{2\,n}\,\bar I_Q$ with $n 