The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit

Details The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit The Asymptotic Expansion of Lattice Loop Integrals Around the Continuum Limit

2002-07-17

arxiv.org/abs/hep-ph/0207201v1

Phys.Rev. D66 (2002) 074508

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 figures

Scientific paper

10.1103/PhysRevD.66.074508

We present a method of computing any one-loop integral in lattice perturbation theory by systematically expanding around its continuum limit. At any order in the expansion in the lattice spacing, the result can be written as a sum of continuum loop integrals in analytic regularization and a few genuine lattice integrals (``master integrals''). These lattice master integrals are independent of external momenta and masses and can be computed numerically. At the one-loop level, there are four master integrals in a theory with only bosonic fields, seven in HQET and sixteen in QED or QCD with Wilson fermions.

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