31,174 research outputs found
Asymptotic normality of extreme value estimators on
Consider i.i.d. random elements on . We show that, under an
appropriate strengthening of the domain of attraction condition, natural
estimators of the extreme-value index, which is now a continuous function, and
the normalizing functions have a Gaussian process as limiting distribution. A
key tool is the weak convergence of a weighted tail empirical process, which
makes it possible to obtain the results uniformly on . Detailed examples
are also presented.Comment: Published at http://dx.doi.org/10.1214/009053605000000831 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
The 125 GeV Higgs and Electroweak Phase Transition Model Classes
Recently, the ATLAS and CMS detectors have discovered a bosonic particle
which, to a reasonable degree of statistical uncertainty, fits the profile of
the Standard Model Higgs. One obvious implication is that models which predict
a significant departure from Standard Model phenomenology, such as large exotic
(e.g., invisible) Higgs decay or mixing with a hidden sector scalar, are
already ruled out. This observation threatens the viability of electroweak
baryogenesis, which favors, for example, a lighter Higgs and a Higgs coupled to
or mixed with light scalars. To assess the broad impact of these constraints,
we propose a scheme for classifying models of the electroweak phase transition
and impose constraints on a class-by-class basis. We find that models, such as
the MSSM, which rely on thermal loop effects are severely constrained by the
measurement of a 125 GeV Higgs. Models which rely on tree-level effects from a
light singlet are also restricted by invisible decay and mixing constraints.
Moreover, we find that the parametric region favored by electroweak
baryogenesis often coincides with an enhanced symmetry point with a distinctive
phenomenological character. In particular, enhancements arising through an
approximate continuous symmetry are phenomenologically disfavored, in contrast
with enhancements from discrete symmetries. We also comment on the excess of
diphoton events observed by ATLAS and CMS. We note that although Higgs portal
models can accommodate both enhanced diphoton decay and a strongly first order
electroweak phase transition, the former favors a negative Higgs portal
coupling whereas the latter favors a positive one, and therefore these two
constraints are at tension with one another.Comment: 35 pages, 7 figure
Improved transfer matrix method without numerical instability
A new improved transfer matrix method (TMM) is presented. It is shown that
the method not only overcomes the numerical instability found in the original
TMM, but also greatly improves the scalability of computation. The new improved
TMM has no extra cost of computing time as the length of homogeneous scattering
region becomes large. The comparison between the scattering matrix method(SMM)
and our new TMM is given. It clearly shows that our new method is much faster
than SMM.Comment: 5 pages,3 figure
Strongly First Order Phase Transitions Near an Enhanced Discrete Symmetry Point
We propose a group theoretic condition which may be applied to extensions of
the Standard Model in order to locate regions of parameter space in which the
electroweak phase transition is strongly first order, such that electroweak
baryogenesis may be a viable mechanism for generating the baryon asymmetry of
the universe. Specifically, we demonstrate that the viable corners of parameter
space may be identified by their proximity to an enhanced discrete symmetry
point. At this point, the global symmetry group of the theory is extended by a
discrete group under which the scalar sector is non-trivially charged, and the
discrete symmetry is spontaneously broken such that the discrete symmetry
relates degenerate electroweak preserving and breaking vacua. This idea is used
to investigate several specific models of the electroweak symmetry breaking
sector. The phase transitions identified through this method suggest
implications for other relics such as dark matter and gravitational waves.Comment: 17 pages, 4 figure
Global well-posedness for KdV in Sobolev Spaces of negative index
The initial value problem for the Korteweg-deVries equation on the line is
shown to be globally well-posed for rough data. In particular, we show global
well-posedness for initial data in H^s({\mathbb{R}), -3/10<s.Comment: 5 pages. Electronic Journal of Differential equations (submitted
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