Two-loop renormalization of the effective field theory of a static quark
Abstract
We give a recurrence relation for two-loop integrals encountered in the effective field theory of an infinitely heavy quark. Q, interacting with gluons and NL massless quarks, q, from which we obtain exact two-loop results, in any dimension and covariant gauge, for the propagator of Q and the vertex function of the heavy-light current J---QΛq, at zero q-momentum. The anomalous dimension of the Q-field agrees with the recent result of Broadhurst, Gray and Schilcher. The anomalous dimension of the current is γ~J≡d logZ~J/d logμ=-αs/π[1+(127+56ζ(2)-10NL/72)αs/π+O(α2s)] which gives the new two-loop correction to the result of Voloshin and Shifman.
Permanent address: Institute of Nuclear Physics, SU-630 090 Novosibirsk, USSR.- Publication:
-
Physics Letters B
- Pub Date:
- September 1991
- DOI:
- 10.1016/0370-2693(91)90532-U
- arXiv:
- arXiv:hep-ph/9908362
- Bibcode:
- 1991PhLB..267..105B
- Keywords:
-
- High Energy Physics - Phenomenology
- E-Print:
- Old preprint