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/

Zendy Plus

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

Zendy Tools

Zendy Open

In the paper, we study the properties of the top-quark $\overline{\rm MS}$running mass computed from its on-shell mass by using both the four-loop$\overline{\rm MS}$-on-shell relation and the principle of maximum conformality(PMC) scale-setting approach. The PMC adopts the renormalization group equationto set the correct magnitude of the strong running coupling of the perturbativeseries, its prediction avoids the conventional renormalization scale ambiguity,and thus a more precise pQCD prediction can be achieved. After applying the PMCto the four-loop $\overline{\rm MS}$-on-shell relation and taking the top-quarkon-shell mass $M_t=172.9\pm0.4$ GeV as an input, we obtain the renormalizationscale-invariant $\overline{\rm MS}$ running mass at the scale $m_t$, e.g.,$m_t(m_t)\simeq 162.6\pm 0.4$ GeV, in which the error is the squared average ofthose from $\Delta \alpha_s(M_Z)$, $\Delta M_t$, and the approximate error fromthe uncalculated five-loop terms predicted by using the Pad\'{e} approximationapproach.

physical review. d/physical review. d.

Determination of the top-quark $\overline{\rm MS}$ running mass via its  perturbative relation to the on-shell mass with the help of principle of  maximum conformality