96,350 research outputs found
Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
In this paper we are concerned with convergence of solutions of the Poisson
equation with Neumann boundary conditions in a two-dimensional thin domain
exhibiting highly oscillatory behavior in part of its boundary. We deal with
the resonant case in which the height, amplitude and period of the oscillations
are all of the same order which is given by a small parameter .
Applying an appropriate corrector approach we get strong convergence when we
replace the original solutions by a kind of first-order expansion through the
Multiple-Scale Method.Comment: to appear in Quarterly of Applied Mathematic
Discrete and continuous symmetries in multi-Higgs-doublet models
We consider the Higgs sector of multi-Higgs-doublet models in the presence of
simple symmetries relating the various fields. We construct basis invariant
observables which may in principle be used to detect these symmetries for any
number of doublets. A categorization of the symmetries into classes is
required, which we perform in detail for the case of two and three Higgs
doublets.Comment: 13 pages, RevTex, references adde
in the complex two Higgs doublet model
The latest LHC data confirmed the existence of a Higgs-like particle and made
interesting measurements on its decays into , , , , and . It is expected that a decay into might be measured at the next LHC round, for which there already exists
an upper bound. The Higgs-like particle could be a mixture of scalar with a
relatively large component of pseudoscalar. We compute the decay of such a
mixed state into , and we study its properties in the context of the
complex two Higgs doublet model, analysing the effect of the current
measurements on the four versions of this model. We show that a measurement of
the rate at a level consistent with the SM can be used
to place interesting constraints on the pseudoscalar component. We also comment
on the issue of a wrong sign Yukawa coupling for the bottom in Type II models.Comment: 31 pages, 15 figure
A reappraisal of the wrong-sign coupling and the study of
It has been pointed out recently that current experiments still allow for a
two Higgs doublet model where the coupling () is
negative; a sign opposite to that of the Standard Model. Due to the importance
of delayed decoupling in the coupling, improved measurements will have a strong impact on this issue. For the
same reason, measurements or even bounds on are
potentially interesting. In this article, we revisit this problem, highlighting
the crucial importance of , which can be understood with
simple arguments. We show that the impacts on models of both and are very sensitive to
input values for the gluon fusion production mechanism; in contrast, and are not. We also
inquire if the search for and its interplay with will impact the sign of the coupling.
Finally, we study these issues in the context of the Flipped two Higgs doublet
model.Comment: 13 pages, pdf figure
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