Improved heavy quark action

Details Improved heavy quark action Improved heavy quark action

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006slft.confe.171c&link_type=abstract

Proceedings of the XXIVth International Symposium on Lattice Field Theory. July 23-28, 2006, Tucson, Arizona., p.171.1

Computer Science

Scientific paper

Building upon the work of the Fermilab and Tsukuba groups, we discuss improved lattice actions capable of describing onium and heavy-light systems with errors of order (pa)2 but accurate to arbitrary order in (ma)n , where a is the lattice spacing, p is the spatial momentum of the heavy quark(s) and m the heavy quark mass. We demonstrate using both a tree-level example and an inductive proof that this accuracy can be achieved for hadronic masses using an action containing only three mass-dependent parameters: the bare quark mass (m0 ), an anisotropy coefficient (ζ ) of the Dirac spatial derivative term and a coefficient (cP ) of the chromomagnetic Pauli term. Further improvement terms are needed to calculate matrix elements involving spinor fields or composite operators. This represents a simplification of earlier results and makes practical the non-perturbative evaluation of these coefficients.

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