In a toy complex-scalar model, 1-loop dimension-6 matching corrections compete with 2-loop quartic corrections and dominate 3-loop thermal-mass corrections for strong phase transitions.
3d physics and the electroweak phase transition: a framework for lattice Monte Carlo analysis
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abstract
We discuss a framework relying on both perturbative and non-perturbative lattice computations which will be able to reliably determine the parameters of the EW phase transition. A motivation for the use of 3d effective theory in the lattice simulations, rather than the complete 4d one, is provided. We introduce and compute on the 2-loop level a number of gauge-invariant order parameters -- condensates, which can be measured with high accuracy in MC simulations. The relation between MSbar and lattice condensates is found, together with the relation between lattice couplings and continuum parameters (the constant physics curves). These relations are exact in the continuum limit.
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Phase Transitions in Dimensional Reduction up to Three Loops
In a toy complex-scalar model, 1-loop dimension-6 matching corrections compete with 2-loop quartic corrections and dominate 3-loop thermal-mass corrections for strong phase transitions.