The
phenomenological Minimal Supersymmetric Standard Model (pMSSM) provides a broad
perspective on supersymmetric phenomenology. We have generated two large sets
of pMSSM models with neutralino and gravitino LSPs, with sparticle masses
extending up to 4 TeV. In this talk, I will discuss the implications of
searches for supersymmetry and the Higgs, with particular attention to
naturalness. In particular, we find that while sparticle spectra with
moderately light stops are still allowed, such stops are difficult to find
experimentally because of a wide array of possible cascade decays.
The question of finite range gravity, or equivalently,
whether graviton can have a non-zero mass, has been one of the major challenges
in classical field theory for the last 70 years.
Generically, a massive gravity theory contains an extra
degree in addition to the 5 polarizations of massive graviton, which turns out
to be a ghost. Recently, de Rham, Gabadadze and Tolley constructed a nonlinear
theory of massive gravity, which successfully eliminates the ghost. Moreover,
the theory has also phenomenological relevance, since the graviton mass may
account for the accelerated expansion of the present universe, providing an
alternative to dark energy. I will present self-accelerating cosmological
solutions in the framework of this theory. The cosmological perturbations
around these backgrounds have an interesting behavior: instead of the 5 degrees
of freedom expected from a massive spin-2 field, only the 2 gravity wave
polarizations are dynamical, at linear level. However, nonlinear analysis of
the extra modes reveal the existence of ghost instabilities. This implies that
a consistent universe solution in this theory should be inhomogeneous and/or
anisotropic.
We shall follow the
growth of probability theory and applications from the 1650s onwards, in
parallel with the development of statistical inference. Bayesian,
Neyman-Pearson hypothesis testing and Fisherian likelihood methods will all be
covered, with an emphasis on relating theory to a wide range of
applications. Practical sessions will use SciPy and feature
closed-form solutions, iterative and Monte Carlo simulation methods.
We shall follow the
growth of probability theory and applications from the 1650s onwards, in
parallel with the development of statistical inference. Bayesian,
Neyman-Pearson hypothesis testing and Fisherian likelihood methods will all be
covered, with an emphasis on relating theory to a wide range of
applications. Practical sessions will use SciPy and feature
closed-form solutions, iterative and Monte Carlo simulation methods.
We shall follow the
growth of probability theory and applications from the 1650s onwards, in
parallel with the development of statistical inference. Bayesian,
Neyman-Pearson hypothesis testing and Fisherian likelihood methods will all be
covered, with an emphasis on relating theory to a wide range of
applications. Practical sessions will use SciPy and feature
closed-form solutions, iterative and Monte Carlo simulation methods.
We review recent breakthroughs in understanding
some general features of the Renormalization Group and of Quantum Field Theory.
We discuss some applications of these new results and their deep connection to
the entanglement of the Quantum Field Theory vacuum.