Beyond Part III

Young Researchers in Mathematics 2009

16-18 April 2009

Centre for Mathematical Sciences, Cambridge

High Energy Physics (general) Session

Talks will be in MR11.



Flavour Physics in a Warped Extra Dimension - Flip Tanedo

We present techniques for generating realistic models of flavour physics on a Randall-Sundrum background. In particular, we shall present novel results for loop diagrams of bulk fields and the manifest finiteness of the process μ-> eγ contrary to conventional wisdom from naive dimensional analysis.

Brane Worlds Interacting With Bulk Fields - Leo van Nierop

In Brane-world models, the interactions between bulk fields and the brane are often ignored. However, such interactions can have strong effects on the vacuum when the brane action favors a different configuration than the bulk. I will present a model in which the Higgs field is replaced by a 6-dimensional scalar doublet which is free in the bulk, but favors a broken electroweak symmetry on the brane. This model casts a different light on the electroweak hierarchy problem, and changes some of the Higgs physics predictions of the standard model.

MSSM Model Selection - Matthew Dolan

We discuss the use of the Bayesian evidence as a technique of model testing. In particular we confront the three most popular mechanisms (gauge, gravity and anomaly) of supersymmetry breaking mediation with experimental data and remark on the implications of our fits.

A Model Behind the Standard Model - Michael Baker

The standard model is an incredibly successful theory. It is not, however, considered a complete theory since it is built from many ad hoc assumptions, contains around twenty free parameters and does not account for gravity. I will introduce a model which provides a geometric basis for the Higgs field through an enlarged symmetry group. I will show how this leads to three generations of fermions, a conserved baryon-lepton number and, time permitting, a reduction in the number of free parameters.

Zombie Physics: Can the Dead Walk? - Eoin Kerrane

Dynamical Symmetry Breaking has been suggested as a solution to the gauge hierarchy problem since the 1980s. Efforts to construct a model which results in the correct Standard Model mass spectrum while evading electroweak precision constraints have been unsuccessful. These constraints can be avoided however if novel non-QCD-like dynamics of the additional gauge interactions are assumed. We review the mechanism of Dynamical Symmetry Breaking and describe ongoing non-perturbative searches for near-conformal behaviour of gauge theories with fermions in higher representations.

Superamplitudes - Panagiotis Katsaroumpas

Identifying and measuring new physics at the Large Hadron Collider will require quantitatively reliable predictions for Standard Model background processes. New powerful on-shell techniques that can be used in various quantum field theories,allow us to build perturbative scattering amplitudes in a recursive fashion. Maximally supersymmetric theories are the perfect lab for developing and testing these techniques, while recent discoveries have revealed unexpected beauty in their amplitudes. I will present this on-shell technology, and focus on its recent generalisation to manifestly supersymmetric relations, which allows us to calculate superamplitudes more efficiently.

A Quantum Algorithm to Solve Nonlinear Differential Equations (accessible talk) - Sarah Leyton

In this talk I will give a basic introduction to Quantum Information theory. In particular I will briefly describe some well known Quantum algorithms before giving a comprehensive presentation of a quantum algorithm to solve systems of nonlinear differential equations.

From Klein Polynomials to Carbon-12 - Nick Manton (keynote speaker)

It is well-known that through stereographic projection, one can put a complex coordinate z on a spherical surface. Felix Klein studied the complex coordinates of the vertices, edge centres and face centres of each platonic solid this way, and found that they are the roots of rather simple polynomials in z. Related to these Klein polynomials there are some further, rational functions of z (ratios of polynomials), which have the same symmetries as the platonic solids.

Recently, it has been discovered that various model physical systems, in chemistry, condensed matter, nuclear and particle physics, have smooth structures with the same symmetries as platonic solids. The Klein polynomials and related rational functions are very useful for describing them mathematically.

The talk will end with a brief discussion of a model for atomic nuclei in which the protons and neutrons are regarded as close enough together to partially merge into a symmetric structure of this type, called a Skyrmion. Various small nuclei, up to carbon-12 and a bit larger, have been modelled this way.