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• W4384155106 abstract "A bstract We present a novel method for precisely determining the QCD running coupling from R uds measurements in electron-positron annihilation. When calculating the fixed-order perturbative QCD (pQCD) approximant of R uds , its effective coupling constant $$ {alpha}_sleft({Q}_{ast}^2right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mfenced> <mml:msubsup> <mml:mi>Q</mml:mi> <mml:mo>∗</mml:mo> <mml:mn>2</mml:mn> </mml:msubsup> </mml:mfenced> </mml:math> is determined by using the principle of maximum conformality, a systematic scale-setting method for gauge theories, whose resultant pQCD series satisfies all the requirements of renormalization group. Contribution due to the uncalculated higher-order (UHO) terms is estimated by using the Bayesian analysis. Using R uds data measured by the KEDR detector at 22 centre-of-mass energies between 1 . 84 GeV and 3 . 72 GeV, we obtain $$ {alpha}_sleft({M}_Z^2right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>α</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:mfenced> <mml:msubsup> <mml:mi>M</mml:mi> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> </mml:mfenced> </mml:math> = $$ {0.1227}_{-0.0132}^{+0.0117}left(exp .right)pm 0.0016left(textrm{the}.right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mn>0.1227</mml:mn> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>0.0132</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>0.0117</mml:mn> </mml:mrow> </mml:msubsup> <mml:mfenced> <mml:mrow> <mml:mo>exp</mml:mo> <mml:mo>.</mml:mo> </mml:mrow> </mml:mfenced> <mml:mo>±</mml:mo> <mml:mn>0.0016</mml:mn> <mml:mfenced> <mml:mrow> <mml:mtext>the</mml:mtext> <mml:mo>.</mml:mo> </mml:mrow> </mml:mfenced> </mml:math> , where the theoretical uncertainty (the.) is negligible compared to the experimental one (exp.). Numerical analyses confirm that the new method for calculating R uds removes conventional renormalization scale ambiguity, and the residual scale dependence due to the UHO-terms will also be highly suppressed due to a more convergent pQCD series. This leads to a significant stabilization of the perturbative series, and a significant reduction of theoretical uncertainty. It thus provides a reliable theoretical basis for precise determination of the QCD running coupling from R uds measurements at future Tau-Charm Facility. It can also be applied for the precise determination of the hadronic contributions to muon g − 2 and QED coupling $$ alpha left({M}_Z^2right) $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>α</mml:mi> <mml:mfenced> <mml:msubsup> <mml:mi>M</mml:mi> <mml:mi>Z</mml:mi> <mml:mn>2</mml:mn> </mml:msubsup> </mml:mfenced> </mml:math> within the tau-charm energy range." @default.
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• W4384155106 date "2023-07-12" @default.
• W4384155106 modified "2023-09-27" @default.
• W4384155106 title "Novel method to reliably determine the QCD coupling from Ruds measurements and its effects to muon g − 2 and $$ alpha left({M}_Z^2right) $$ within the tau-charm energy region" @default.
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• W4384155106 doi "https://doi.org/10.1007/jhep07(2023)109" @default.
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