Home > Looking at the QCD corrections for large M$_{t}$ : an effective lagrangian point of view |
Article | |
Report number | hep-ph/9504347 ; CERN-TH-95-92 ; CERN-TH-95-092 ; CERN-TH-95-92 |
Title | Looking at the QCD corrections for large M$_{t}$ : an effective lagrangian point of view |
Author(s) | Peris, S. (CERN) |
Publication | 1995 |
Imprint | 20 Apr 1995 |
Number of pages | 18 |
In: | Workshop on Perspectives for Electroweak Interactions in $e^{+} e^{-}$ Collisions, Ringberg, Germany, 5 - 8 Feb 1995, pp.79-95 |
Subject category | Particle Physics - Phenomenology |
Abstract | We discuss the QCD corrections to the large-$m_t$ electroweak contributions to $\Delta r$ and to the process $Z\to b \bar b$ as two of the most representative examples. This needs the construction of an effetive field theory below the top quark. We discuss the issue of what $\mu$ scale is the appropriate one at every stage and argue that, while matching corrections do verify the simple prescription of taking $\mu \simeq m_t$ in $\alpha_s(\mu)$, logarithmic (i.e. $\sim \log m_t$) corrections do not, and require the use of the running $\alpha_s(\mu)$ in the corresponding renormalization group equations. In particular we obtain the $\alpha_s$ correction to the non-universal $\log m_t$ contribution to the $Zb\bar b$ vertex. |