15,455 research outputs found
Higgs Naturalness and Dark Matter Stability by Scale Invariance
Extending the spacetime symmetries of standard model (SM) by scale invariance
(SI) may address the Higgs naturalness problem. In this article we attempt to
embed accidental dark matter (DM) into SISM, requiring that the symmetry
protecting DM stability is accidental due to the model structure rather than
imposed by hand. In this framework, if the light SM-like Higgs boson is the
pseudo Goldstone boson of SI spontaneously breaking, we can even pine down the
model, two-Higgs-doublets plus a real singlet: The singlet is the DM candidate
and the extra Higgs doublet triggers electroweak symmetry breaking via the
Coleman-Weinberg mechanism; Moreover, it dominates DM dynamics. We study
spontaneously breaking of SI using the Gillard-Weinberg approach and find that
the second doublet should acquire vacuum expectation value near the weak scale.
Moreover, its components should acquire masses around 380 GeV except for a
light CP-odd Higgs boson. Based on these features, we explore viable ways to
achieve the correct relic density of DM, facing stringent constraints from
direct detections of DM. For instance, DM annihilates into near the
SM-like Higgs boson pole, or into a pair of CP-odd Higgs boson with mass above
that pole.Comment: Journal version, with a major revision. Discussions on
phenomenologies of scale invariant 2HDM+S are substantially change
Fine gradings of complex simple Lie algebras and Finite Root Systems
A -grading on a complex semisimple Lie algebra , where is a finite
abelian group, is called quasi-good if each homogeneous component is
1-dimensional and 0 is not in the support of the grading.
Analogous to classical root systems, we define a finite root system to be
some subset of a finite symplectic abelian group satisfying certain axioms.
There always corresponds to a semisimple Lie algebra together with a
quasi-good grading on it. Thus one can construct nice basis of by means
of finite root systems.
We classify finite maximal abelian subgroups in \Aut(L) for complex
simple Lie algebras such that the grading induced by the action of on
is quasi-good, and show that the set of roots of in is always a
finite root system. There are five series of such finite maximal abelian
subgroups, which occur only if is a classical simple Lie algebra
Shakeout: A New Approach to Regularized Deep Neural Network Training
Recent years have witnessed the success of deep neural networks in dealing
with a plenty of practical problems. Dropout has played an essential role in
many successful deep neural networks, by inducing regularization in the model
training. In this paper, we present a new regularized training approach:
Shakeout. Instead of randomly discarding units as Dropout does at the training
stage, Shakeout randomly chooses to enhance or reverse each unit's contribution
to the next layer. This minor modification of Dropout has the statistical
trait: the regularizer induced by Shakeout adaptively combines , and
regularization terms. Our classification experiments with representative
deep architectures on image datasets MNIST, CIFAR-10 and ImageNet show that
Shakeout deals with over-fitting effectively and outperforms Dropout. We
empirically demonstrate that Shakeout leads to sparser weights under both
unsupervised and supervised settings. Shakeout also leads to the grouping
effect of the input units in a layer. Considering the weights in reflecting the
importance of connections, Shakeout is superior to Dropout, which is valuable
for the deep model compression. Moreover, we demonstrate that Shakeout can
effectively reduce the instability of the training process of the deep
architecture.Comment: Appears at T-PAMI 201
How Different is Japanese Corporate Finance? An Investigation of the Information Content of New Security Issues
This paper studies the shareholder wealth effects associated with 875 new security issues in Japan from January 1, 1985 to May 31, 1991. The sample includes public equity, private equity, rights offerings, straight debt, warrant debt and convertible debt issues. Contrary to the U.S., the announcement of convertible debt issues is accompanied by a significant positive abnormal return of 1.05%. The announcement of equity issues has a positive abnormal return of 0.45%, significant at the 0.10 level, but this positive abnormal return can be attributed to one year in our sample and is offset by a negative issue date abnormal return of -1.01%. The abnormal returns are negatively related to firm size, so that for equity issues (but not for convertible debt issues), large Japanese firms have significant negative announcement abnormal returns. Our evidence is consistent with the view that Japanese managers decide to issue shares based on different considerations than American managers.
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