LEADING VACUUM-POLARIZATION CONTRIBUTIONS TO THE RELATION BETWEEN POLE AND RUNNING MASSES

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dc.creatorPhilippides, K.
dc.creatorSirlin, A.
dc.date1995-03-25
dc.date.accessioned2026-07-07T12:20:57Z
dc.date.available2026-07-07T12:20:57Z
dc.descriptionThe vacuum--polarization contributions of ${\cal O}(b^{n-1} \al_s^n)$ to the relation between the pole--mass $M$ of a quark and the \MS parameter $\mh (M)$ are evaluated by a straightforward method. They are found to approximate very well the exact answer, known through ${\cal O}(\al_s^2)$, thus providing a simple physical interpretation. Results are also given for the cases when the vacuum--polarization contributions are defined by the pinch technique prescription and specific background field gauges. Assuming that the terms $n \geq 3$ are also dominant, we evaluate $M_t/\hat{m}_t(M_t)$, compare the results with those of optimization methods, briefly discuss $M_b/\mh_b (M_b)$, and estimate the irreducible errors in the perturbative series. Implications for the electroweak amplitude $Δρ$ are emphasized. An update of the QCD corrections to this amplitude, including an estimate of the theoretical error, is given.
dc.description27 pages, 1 figure and 5 tables all included in the text in a compressed ps file
dc.identifierhttps://arxiv.org/abs/hep-ph/9503434
dc.identifierhttp://arxiv.org/abs/hep-ph/9503434
dc.identifierNucl.Phys.B450:3-20,1995
dc.identifierdoi:10.1016/0550-3213(95)00264-S
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213218
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLEADING VACUUM-POLARIZATION CONTRIBUTIONS TO THE RELATION BETWEEN POLE AND RUNNING MASSES
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