Determination ofαsfrom the QCD static energy

Determination ofαsfrom the QCD static energy: An update

“…This last option is the approach that was taken in Ref. [5]. Alternatively, one can also take a derivative of Eq.…”

“…In order to compare results at different β values to the continuum estimate, we normalize the static energy in units of the r 1 scale using the normalization procedure described in Ref. [5]. In Fig.…”

“…In this paper we present an update of the result of Ref. [5]. The main new ingredients are: (i) we include new lattice data, with smaller lattice spacings, and reaching shorter distances, (ii) we use perturbative expressions that are better suited to compare with lattice data in this wider distance range, and (iii) we include a more detailed assessment of the different errors sources that can contribute to the uncertainty of the final result; the discussion of the different errors sources comprises, in fact, the bulk of the present paper.…”

“…In Ref. [5] we presented a novel determination of α s , based on the comparison of lattice data for the energy between two static sources in the fundamental representation of QCD, i.e. the QCD static energy, at short distances with perturbative expressions.…”

“…Keeping track of the presence of the renormalon is just a convenient way to identify which quantities have a wellbehaved perturbative expansion, and are adequate for a precise α s extraction. Recall that, in our previous analysis [5] we used the perturbative expression coming from Eq. (5) with ν constant.…”