One-Loop Renormalization of Lee-Wick Gauge Theory

Abstract

We examine the renormalization of Lee-Wick gauge theory to one loop order. We show that only knowledge of the wavefunction renormalization is necessary to determine the running couplings, anomalous dimensions, and vector boson masses. In particular, the logarithmic running of the Lee-Wick vector boson mass is exactly related to the running of the coupling. In the case of an asymptotically free theory, the vector boson mass runs to infinity in the ultraviolet. Thus, the UV fixed point of the pure gauge theory is an ordinary quantum field theory. We find that the coupling runs more quickly in Lee-Wick gauge theory than in ordinary gauge theory, so the Lee-Wick standard model does not naturally unify at any scale. Finally, we present results on the beta function of more general theories containing dimension six operators which differ from previous results in the literature.

17 pages, 7 figures

References in corpus (8)

• The Lee-Wick Standard Model
• Supersymmetric Models with Higher Dimensional Operators
• Neutrino Masses in the Lee-Wick Standard Model
• Flavor Changing Neutral Currents in the Lee-Wick Standard Model
• Massive Vector Scattering in Lee-Wick Gauge Theory
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
• The Lee-Wick Fields out of Gravity
• Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations

Cited by in corpus (7)

• Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model
• A Higher-Derivative Lee-Wick Standard Model
• Electroweak Precision Data and the Lee-Wick Standard Model
• Lee-Wick Theories at High Temperature
• On the dynamical breaking of chiral symmetry: a new mechanism
• Path Integrals for Potential Scattering
• Validity of Born Approximation for Nuclear Scattering in Path Integral Representation