Logarithmic corrections to O($a^2$) effects in lattice QCD with unrooted Staggered quarks

We derive the asymptotic lattice-spacing dependence $a^2[2b_0{\bar{g}}^2(1\mathrm{/}a){]}^{{\widehat{\gamma }}_i}$ relevant for spectral quantities of lattice QCD, when using unrooted Staggered quarks. Without taking any effects from matching into account we find ${\min }_i{\widehat{\gamma }}_i\approx -0.273,-0.301,-0.913,-2.614$ for $N_{\mathrm{f}}=0,4,8,12$ respectively. Common statements in the literature on the absence of mass-dimension~5 operators from the on-shell basis of the Symanzik Effective Field Theory action are being clarified for a description using strictly local tastes, here playing the role of continuum quark flavours. Potential impact of $\mathrm{O}(a)$ EOM-vanishing terms beyond spectral quantities is being discussed.