Nonperturbative Matching for Field Theories with Heavy Fermions

Details Nonperturbative Matching for Field Theories with Heavy Fermions Nonperturbative Matching for Field Theories with Heavy Fermions

1993-10-27

arxiv.org/abs/hep-ph/9310364v1

Phys.Rev.D49:2457-2461,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, no figures, uses harvmac, Harvard University Preprint HUTP-93/A030

Scientific paper

10.1103/PhysRevD.49.2457

We examine a paradox, suggested by Banks and Dabholkar, concerning nonperturbative effects in an effective field theory which is obtained by integrating out a generation of heavy fermions, where the heavy fermion masses arise from Yukawa couplings. They argue that light fermions in the effective theory appear to decay via instanton processes, whereas their decay is forbidden in the full theory. We resolve this paradox by showing that such processes in fact do not occur in the effective theory, due to matching corrections which cause the relevant light field configurations to have infinite action.

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