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- W1567010006 abstract "Recently the full $O({ensuremath{alpha}}_{S}^{5}m,{ensuremath{alpha}}_{S}^{5}mmathrm{log}{ensuremath{alpha}}_{S})$ correction to the heavy quarkonium $1S$ energy level has been computed (except the ${a}_{3}$ term in the QCD potential). We point out that the full correction (including the $mathrm{log}{ensuremath{alpha}}_{S}$ term) is approximated well by the large-${ensuremath{beta}}_{0}$ approximation. Based on the assumption that this feature holds up to higher orders, we discuss why the top quark pole mass cannot be determined to better than $O({ensuremath{Lambda}}_{mathrm{QCD}})$ accuracy at a future ${e}^{+}{e}^{ensuremath{-}}$ collider, while the modified minimal-subtraction $(overline{mathrm{MS}})$ mass can be determined to about 40 MeV accuracy (provided the 4-loop $overline{mathrm{MS}}$-pole mass relation will be computed in due time)." @default.
- W1567010006 created "2016-06-24" @default.
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- W1567010006 date "2003-04-11" @default.
- W1567010006 modified "2023-09-24" @default.
- W1567010006 title "Top quark mass determination and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>O</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msubsup><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mi>m</mml:mi><mml:mo>)</mml:mo></mml:math>correction to the toponium<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mn>1</mml:mn><mml:mi>S</mml:mi></mml:…" @default.
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- W1567010006 doi "https://doi.org/10.1103/physrevd.67.071501" @default.
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