The Lee-Wick Standard Model at Finite Temperature
Abstract
The Lee-Wick Standard Model at temperatures near electroweak scale is considered, with the aim of studying the electroweak phase transition. While Lee-Wick theories possess states of negative norm, they are not pathological but instead are treated by imposing particular boundary conditions and using particular integration contours in the calculation of S-matrix elements. It is not immediately clear how to extend this prescription to formulate the theory at finite temperature; we explore two different pictures of finite-temperature LW theories, and calculate the thermodynamic variables and the (one-loop) thermal effective potential. We apply these results to study the Lee-Wick Standard Model and find that the electroweak phase transition is a continuous crossover, much like in the Standard Model. However, the high-temperature behavior is modified due to cancellations between thermal corrections arising from the negative- and positive-norm states.
Cite
@article{arxiv.1306.2642,
title = {The Lee-Wick Standard Model at Finite Temperature},
author = {Richard F. Lebed and Andrew J. Long and Russell H. TerBeek},
journal= {arXiv preprint arXiv:1306.2642},
year = {2013}
}
Comments
41 pages, 2 figures; length increased in v3 by reformatting; some discussion extended for clarity, particularly Sec 3.1; accepted to PRD