Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages, 17 figures, added references, published version

Scientific paper

10.1088/1126-6708/2002/12/020

We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation and subsequently rolls down its potential barrier. Neglecting the expansion, we perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions with an added phenomenological C and P violating term during this stage of so-called tachyonic preheating. The results suggest that even the sign of the Chern-Simons and thus baryon number is dependent on the ratio of the Higgs to W mass. We also discuss the appropriate choice of vacuum initial conditions for classical simulations.

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