Matching heavy-quark fields in QCD and HQET at three loops

Details Matching heavy-quark fields in QCD and HQET at three loops Matching heavy-quark fields in QCD and HQET at three loops

2010-04-15

arxiv.org/abs/1004.2662v5

Phys.Lett.B692:161-165,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, no figures. v2: discussion of gauge invariance in QED extended, references added; v3: QED gauge invariance completely

Scientific paper

10.1016/j.physletb.2010.07.032

The relation between the heavy-quark field in QCD and the corresponding field in HQET is derived up to three loops, and to all orders in the large-$\beta_0$ limit. The corresponding relation between the QED electron field and the Bloch--Nordsieck one is gauge invariant to all orders. We also prove that the $\bar{\text{MS}}$ anomalous dimension of the QED electron field depends on the gauge parameter only at one loop.

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