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([ref]) with the SM thermal sphaleron rate in the symmetric phase [ref] , $Γ_th ∼25 α_w^5 T^4$, and with the rate from a quenched EW crossover [ref] , $Γ_tach ≡α_w^4 T_eff^4$, where $T_eff$ parametrizes the efficiency of baryon number violation induced by the tachyonic instability and depends on the amount of quenching of the EW crossover.","intent_p":0.83,"contests_p":null},{"arxiv_id":"1009.2358","title":"Standard Model CP-violation and Cold Electroweak Baryogenesis","url":"/paper/1009.2358","section":"Initial conditions","sentence":"Whereas in [ref] the CP-violation vanishes when $A_μ=0$, in the present case, there is a nonzero term which includes the electric field $E$, namely","intent_p":0.85,"contests_p":null},{"arxiv_id":"1906.04080","title":"Baryogenesis and helical magnetogenesis from the electroweak transition of the minimal Standard Model","url":"/paper/1906.04080","section":"Pure gauge sphalerons and their explosion","sentence":"B⃗^2=96 ρ^4 (ρ^2+r^2)^4 We note that the specific expressions for pure-gauge sphaleron explosions were compared with numerical real-time simulations [ref] where they occur inside the “hot spots\" with very good agreement [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"1105.5546","title":"Real-time Fermions for Baryogenesis Simulations","url":"/paper/1105.5546","section":"Application: Cold Electroweak Baryogenesis in 1+1 dimensions","sentence":"This is very similar to the case in the 3+1 dimensional SU(2)-Higgs model [ref] , where the gauge field is much more complicated dynamically than the model considered here.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":18,"sentences":19,"quotes":[{"arxiv_id":"1009.2358","title":"Standard Model CP-violation and Cold Electroweak Baryogenesis","url":"/paper/1009.2358","section":"Introduction","sentence":"Cold Electroweak Baryogenesis is realized if the temperature is well below the electroweak scale when the electroweak transition happens [ref] (further developed in [ref] ).","intent_p":0.89,"contests_p":null},{"arxiv_id":"1203.5012","title":"Cold Electroweak Baryogenesis in the Two Higgs-Doublet Model","url":"/paper/1203.5012","section":"Introduction","sentence":"The “cold” scenario was originally an attempt to bypass the lack of a strong equilibrium phase transition by invoking an out-of-equilibrium process such as preheating after inflation, and necessary CP-violation was introduced through a hypothetical higher order bosonic operator [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"1407.0030","title":"Baryogenesis from Strong CP Violation and the QCD Axion","url":"/paper/1407.0030","section":"The Higgs quench from a Higgs-scalar coupling","sentence":"We summarize here briefly the main features of cold baryogenesis and refer the reader to the specific literature for more details [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"0909.4199","title":"Cold electroweak baryogenesis with Standard Model CP violation","url":"/paper/0909.4199","section":"Introduction","sentence":"In this case, not the temperature dependence of the free energy but the inflation field turns the effective squared Higgs mass parameter negative [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"2409.05851","title":"QCD-sourced tachyonic phase transition in a supercooled Universe","url":"/paper/2409.05851","section":"QCD-induced tachyonic instability","sentence":"Let us now outline the dynamics of the tachyonic phase transition, which is similar to that in models of tachyonic preheating [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":36},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. 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