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

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- β0 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 MS¯ anomalous dimension of the QED electron field depends on the gauge parameter only at one loop.

Note:

9 pages, no figures. v2: discussion of gauge invariance in QED extended, references added/ v3: QED gauge invariance completely proved/ v4: 1 reference added/ v5: several typos in the Appendix fixed

QCD
HQET
Bloch-Nordsieck model
Bloch–Nordsieck model
quantum chromodynamics
heavy quark
HQET model
higher-order: 3
quantum electrodynamics

References(24)

Figures(0)

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