English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In Refs. [1,2] we determined the infinite volume coefficients of theperturbative expansions of the self-energies of static sources in thefundamental and adjoint representations in SU(3) gluodynamics to order$\alpha^{20}$. We used numerical stochastic perturbation theory [3], where weemployed a new second order integrator and twisted boundary conditions. Theexpansions were obtained in lattice regularization with the Wilson action andtwo different discretizations of the covariant time derivative within thePolyakov loop. Overall, we obtained four different perturbative series. For allof them the high order coefficients displayed the factorial growth predicted bythe conjectured renormalon picture, based on the operator product expansion.This enabled us to determine the normalization constants of the leadinginfrared renormalons of heavy quark and heavy gluino pole masses. Here wepresent improved determinations of the normalization constants and theperturbative coefficients by incorporating the four-loop beta-functioncoefficient (which we also determine) in the fit function.

The static quark self-energy at O($\alpha^{20}$) in perturbation theory