21,995 research outputs found
Z_p scalar dark matter from multi-Higgs-doublet models
In many models, stability of dark matter particles is protected by a
conserved Z_2 quantum number. However dark matter can be stabilized by other
discrete symmetry groups, and examples of such models with custom-tailored
field content have been proposed. Here we show that electroweak symmetry
breaking models with N Higgs doublets can readily accommodate scalar dark
matter candidates stabilized by groups Z_p with any , leading to
a variety of kinds of microscopic dynamics in the dark sector. We give examples
in which semi-annihilation or multiple semi-annihilation processes are allowed
or forbidden, which can be especially interesting in the case of asymmetric
dark matter.Comment: 10 page
Minkowski space structure of the Higgs potential in 2HDM
The Higgs potential of 2HDM keeps its generic form under the group of
transformation GL(2,C), which is larger than the usually considered
reparametrization group U(2). This reparametrization symmetry induces the
Minkowski space structure in the orbit space of 2HDM. Exploiting this property,
we present a geometric analysis of the number and properties of stationary
points of the most general 2HDM potential. In particular, we prove that
charge-breaking and neutral vacua never coexist in 2HDM and establish
conditions when the most general explicitly CP-conserving Higgs potential has
spontaneously CP-violating minima. Our analysis avoids manipulation with
high-order algebraic equations.Comment: 33 pages, 6 figures; v3: corrected a flaw in the proof of proposition
1
Extended Camassa-Holm Hierarchy and Conserved Quantities
An extension of the Camassa-Holm hierarchy is constructed in this letter. The
conserved quantities of the hierarchy are studied and a recurrent formula for
the integrals of motion is derived.Comment: 13 page
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