Running couplings for the simultaneous decoupling of heavy quarks

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pages, 1 figure, version to appear in PLB. Pages 8-11 and Fig. 1 are new, with consequent changes to the abstract, page 2,

Scientific paper

10.1016/j.physletb.2006.01.064

Scale-invariant running couplings are constructed for several quarks being decoupled together, without reference to intermediate thresholds. Large-momentum scales can also be included. The result is a multi-scale generalization of the renormalization group applicable to any order. Inconsistencies in the usual decoupling procedure with a single running coupling can then be avoided, e.g. when cancelling anomalous corrections from t,b quarks to the axial charge of the proton.

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