A Higher-Derivative Lee-Wick Standard Model

Details A Higher-Derivative Lee-Wick Standard Model A Higher-Derivative Lee-Wick Standard Model

2008-11-25

arxiv.org/abs/0811.4150v2

JHEP 0901:043,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 1 figure, ReVTeX. v2: references and discussion of divergence cancellation added

Scientific paper

10.1088/1126-6708/2009/01/043

The Lee-Wick Standard Model assumes a minimal set of higher-derivative quadratic terms that produce a negative-norm partner for each Standard Model particle. Here we introduce additional terms of one higher order in the derivative expansion that give each Standard Model particle two Lee-Wick partners: one with negative and one with positive norm. These states collectively cancel unwanted quadratic divergences and resolve the hierarchy problem as in the minimal theory. We show how this next-to-minimal higher-derivative theory may be reformulated via an auxiliary field approach and written as a Lagrangian with interactions of dimension four or less. This mapping provides a convenient framework for studies of the formal and phenomenological properties of the theory.

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