Collider signatures of the N = 3 Lee-Wick standard model

Abstract

Inspired by the Lee-Wick higher-derivative approach to quantum field theory, Grinstein, O'Connell, and Wise have illustrated the utility of introducing into the Standard Model negativenorm states that cancel quadratic divergences in loop diagrams, thus posing a potential resolution of the hierarchy problem. Subsequent work has shown that consistency with electroweak precision parameters requires many of the partner states to be too massive to be detected at the LHC. We consider the phenomenology of a yet-higher derivative theory that exhibits three poles in its bare propagators (hence N = 3), whose states alternate in norm. We examine the interference effects of W boson partners on LHC scattering cross sections, and find that the N = 3 LWSM already makes verifiable predictions at 10 fb −1 of integrated luminosity.

Precision electroweak constraints on theN=3Lee-Wick standard model

“…In comparison, only one collider physics study of the N = 3 LWSM has thus far appeared [17], a paper by the present authors generalizing the study of W boson production in Ref. [7], and showing not only that such bosons can readily be produced, but also that their mass spectrum generates a signature likely unique among known BSM models.…”

“…TrF µνD µD 16) where the superscript brackets indicate antisymmetrization of just the first and last indices (α and ν here), is equivalent to the LW Lagrangian 17) which includes all of the kinetic and mass terms, plus more involved but still fairly compact expressions for cubic and quartic terms given explicitly in Ref. [5].…”