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Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme

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arxiv hep-ph/0607202 v1 pith:W2XMUK6U submitted 2006-07-18 hep-ph

Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme

classification hep-ph
keywords alphabetaconstantflavorloopsschemestrong-couplingthresholds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present in analytic form the matching conditions for the strong-coupling constant alpha_s^(n_f)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the coefficient beta_4 of the Callan-Symanzik beta function of quantum chromo-dynamics, we thus derive a five-loop formula for alpha_s^(n_f)(mu) together with appropriate relationships between the asymptotic scale parameters Lambda^(n_f) for different numbers of flavors n_f.

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