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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The Principle of Maximum Conformality (PMC) has been suggested in theliterature to eliminate conventional renormalization scheme-and-scaleambiguities in precision test of the QCD theory. It has been shown that byapplying the PMC single-scale-setting approach (PMCs), all non-conformal$\{\beta_i\}$-terms of the perturbative QCD series will be resummed into strongcoupling constant $\alpha_s$, which then sets the correct magnitude of$\alpha_s$ and results in a scale-fixed and scheme-invariant prediction. Inthis paper, by applying the PMCs, we present an improved analysis of thetop-quark pair production via the process $e^{+}e^{-}\to \gamma^{*}\tot\bar{t}$ near the threshold region up to next-to-next-to-next-to-leading order(N$^3$LO) QCD corrections. Near the threshold region, the top-quark velocity$v$ tends to zero, leading to Coulomb singularity. For the purpose, we firstreconstruct the analytical expression for the Coulomb-terms up to N$^{3}$LOaccuracy by using the PSLQ algorithm. We then apply the PMCs to deal with theCoulomb and non-Coulomb parts separately, and two effective coupling are fixedaccordingly. After that, the Coulomb part is resummed into aSommerfeld-Gamow-Sakharov factor, which leads to a more reasonable behaviornear the threshold region. We thus achieve a more precise and a betterunderstanding of the top-quark pair production near the threshold region.

The top-quark pair production via the $e^+ e^-$ annihilation near the threshold region using the Principle of Maximum Conformality