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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This contribution attempts to determine the $b$-quark pole mass $M_b$ and\MSbar running mass $\overline{m}_b$ with two different approaches at thenext-to-next-to-leading order (NNLO) corrections. At the first approach, wederive a relation between the $b$-quark pole mass $M_b$ and its \MSbar runningmass $\overline{m}_b$ at the NNLO corrections based on the perturbative QuantumChromo Dynamics (pQCD) predictions. At the second approach, we extractnumerical values of the $b$-quark pole and \MSbar running masses based on theNNLO phenomenology of H1 and ZEUS Collaborations combined beauty vertexproduction experimental data. Then we discuss about the compatibility betweenthe pQCD theory results and phenomenology approach in determination of the$b$-quark pole and \MSbar running masses at the NNLO corrections. Also, weinvestigate the role and influence of the $b$-quark mass as an extra degree offreedom added to the input parameters of the Standard Model Lagrangian, on theimprovement of the uncertainty band of the proton parton distribution functions(PDFs) and particularly on the gluon distribution.

NNLO compatibility between pQCD theory and phenomenology in determination of the $b$-quark pole and \MSbar running masses