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We evaluate dominant two-loop corrections to the triple Higgs coupling andstrength of a first-order electroweak phase transition in the inert Higgsdoublet model. It is found that sunset diagrams can predominantly enhance theformer and reduce the latter. As a result, the triple Higgs coupling normalizedby the standard model value at two-loop level is more enhanced than thecorresponding one-loop value.

Radiative Corrections to Triple Higgs Coupling and Electroweak Phase Transition: Beyond One-loop Analysis