Abstract
We analyze Higgs condensate bubble expansion during a first-orderelectroweak phase transition in the early Universe. The interaction ofparticles with the bubble wall can be accompanied by the emission ofmultiple soft gauge bosons. When computed at fixed order inperturbation theory, this process exhibits large logarithmicenhancements which must be resummed to all orders when the wallvelocity is large. We perform this resummation both analytically andnumerically at leading logarithmic accuracy. The numerical simulationis achieved by means of a particle shower in the broken phase of theelectroweak theory. The two approaches agree to the 10% level. Forfast-moving walls, we find the scaling of the thermal pressure exertedagainst the wall to be P~γ2T4, independent of theparticle masses, implying a significantly slower terminal velocitythan previously suggested.
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