QCD corrections to large-$m_t$ electroweak effects in $Δr$. An effective field theory point of view

Details QCD corrections to large-$m_t$ electroweak effects in $Δr$. An effective field theory point of view QCD corrections to large-$m_t$ electroweak effects in $Δr$. An effective field theory point of view

1994-09-16

arxiv.org/abs/hep-ph/9409340v2

Phys.Lett. B343 (1995) 339-345

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages and one figure available by fax from peris@cernvm.cern.ch TeX file. Uses phyzzx. CERN-TH-7446/94. Section on $Z\to b

Scientific paper

10.1016/0370-2693(94)01400-7

By using effective field theory techniques for the standard model, we discuss the issue of what $\mu$ scale is the appropriate one in the QCD corrections to the large-$\mt$ electroweak contributions to $\Delta r$. This needs the construction of an effective field theory below the top quark. We argue that, while matching corrections do verify the simple prescription of taking $\mu \simeq \mt$ in $\a(\m)$, logarithmic (i.e. $\sim \log \mt$) corrections do not, and require the use of the running $\a(\mu)$ in the corresponding renormalization group equation.

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