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

We approximately compute the normalization constant of the first infraredrenormalon of the pole mass (and the singlet static potential). Estimates ofhigher order terms in the perturbative relation between the pole mass and the$\MS$ mass (and in the relation between the singlet static potential and$\alpha_s$) are given. We define a matching scheme (the renormalon subtractedscheme) between QCD and any effective field theory with heavy quarks where,besides the usual perturbative matching, the first renormalon in the Borelplane of the pole mass is subtracted. A determination of the bottom $\MS$ quarkmass from the $\Upsilon(1S)$ system is performed with this new scheme and theerrors studied. Our result reads $m_{b,\MS}(m_{b,\MS})=4 210^{+90}_{-90}({\rmtheory})^{-25}_{+25}(\alpha_s)$ MeV. Using the mass difference between the $B$and $D$ meson, we also obtain a value for the charm quark mass:$m_{c,\MS}(m_{c,\MS})=1 210^{+70}_{-70}({\rmtheory})^{+65}_{-65}(m_{b,\MS})^{-45}_{+45}(\lambda_1)$ MeV. We finally discussupon eventual improvements of these determinations.Comment: 32 pages, LaTeX, 7 figures; Minor changes, journal versio

Determination of the bottom quark mass from the Υ(1S) system