132,250 research outputs found
Renormalization Group Fixed Point with a Fourth Generation: Higgs-induced Bound States and Condensates
In the Standard Model with four generations, the two-loop renormalization
group equations for the Higgs quartic and Yukawa couplings have a fixed point
structure. If the masses of the fourth family are sufficiently heavy, it will
contain a natural scale in the range of a few TeV to the order
of TeV, above which the Higgs quartic and Yukawa couplings become
practically constant. We found that around the strong Yukawa
couplings make it possible for the fourth generation to form bound states,
including composite extra Higgs doublets. In this scenario the fourth
generation condensates are obtained without introducing Technicolor or other
unknown interactions.Comment: 22 pages, 10 figure
Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind
In this paper, we present results about the existence and uniqueness of
solutions of elliptic equations with transmission and Wentzell boundary
conditions. We provide Schauder estimates and existence results in H\"older
spaces. As an application, we develop an existence theory for small-amplitude
two-dimensional traveling waves in an air-water system with surface tension.
The water region is assumed to be irrotational and of finite depth, and we
permit a general distribution of vorticity in the atmosphere.Comment: 33 page
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