Decoupling heavy particles simultaneously

Details Decoupling heavy particles simultaneously Decoupling heavy particles simultaneously

2006-01-30

arxiv.org/abs/hep-ph/0601244v1

Nucl.Phys.Proc.Suppl.141:159-164,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 4 figures. Talk presented at the "QCD Down Under" Workshop, Barossa Valley and Adelaide, Australia, 10-19 March 2004,

Scientific paper

10.1016/j.nuclphysbps.2004.12.02

The renormalization group is extended to cases where several heavy particles are decoupled at the same time. This involves large logarithms which are scale-invariant and so cannot be eliminated by a change of renormalization scheme. A set of scale-invariant running couplings, one for each heavy particle, is constructed without reference to intermediate thresholds. The entire heavy-quark correction to the axial charge of the weak neutral current is derived to next-to-leading order, and checked in leading order by evaluating diagrams explicitly. The mechanism for cancelling contributions from the top and bottom quarks in the equal-mass limit is surprisingly non-trivial.

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