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

Abstract

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 $μ\simeq \mt$ in $\a(\m)$, logarithmic (i.e. $\sim \log \mt$) corrections do not, and require the use of the running $\a(μ)$ in the corresponding renormalization group equation.

13 pages and one figure available by fax from [email protected] TeX file. Uses phyzzx. CERN-TH-7446/94. Section on $Z\to b\bar{b}$ is removed

References in corpus (2)

• Incorporation of QCD Effects in Basic Corrections of the Electroweak Theory
• One-loop Effective Lagrangian for a Standard Model with a Heavy Charged Scalar Singlet

Cited by in corpus (3)

• Two--Loop Electroweak Corrections to the Muon g-2: a new class of Hadronic Contributions
• An effective field theory approach to the QCD corrections to the large-$m_t$ $Zb\bar{b}$ vertex
• An effective field theory approach to the electroweak corrections at LEP energies