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• W1979622022 abstract "We consider a variant of the standard electroweak theory in which the Higgs sector has been modified so that there is a classically stable weak scale soliton. We explore fermion-number-violating processes which involve soliton decay. A soliton can decay by tunneling under the sphaleron barrier, or the decay can be collision induced if the energy is sufficient for the barrier to be traversed. We present a classical solution to the Minkowski space equations of motion in which a soliton is kicked over the barrier by an incoming pulse. This pulse corresponds to a quantum coherent state with a mean number of $W$ quanta $ensuremath{sim}frac{2.5}{{g}^{2}}$ where $g$ is the SU(2) gauge coupling constant. We also give a self-contained treatment of the relationship between classical solutions, including those in which solitons are destroyed, and tree-level quantum amplitudes. Furthermore, we consider a limit in which we can reliably estimate the amplitude for soliton decay induced by collision with a single $W$ boson. This amplitude depends on $g$ like $mathrm{exp}(ensuremath{-}c{g}^{ensuremath{-}frac{1}{3}})$, and is larger than that for spontaneous decay via tunneling in the same limit. Finally, we show that in soliton decays light $mathrm{SU}{(2)}_{L}$ doublet fermions are anomalously produced. Thus we have a calculation of a two-body process with energy above the sphaleron barrier in which fermion number is violated." @default.
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• W1979622022 date "1996-10-15" @default.
• W1979622022 modified "2023-09-25" @default.
• W1979622022 title "Collision-induced decays of electroweak solitons: Fermion number violation with two and few initial particles" @default.
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• W1979622022 doi "https://doi.org/10.1103/physrevd.54.5336" @default.
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