Particle theory

Abstract:

We study the topological conditions for general Calabi-Yaus to get a non-supersymmetric AdS exponentially large volume minimum of the scalar potential in flux compactifications of IIB string theory. We show that negative Euler number and the existence of at least one blow-up mode resolving point-like singularities are necessary and sufficient conditions for moduli stabilisation with exponentially large volumes. We also analyse the general effects of string loop corrections on this scenario. While the combination of alpha' and nonperturbative corrections are sufficient to stabilise blow-up modes and the overall volume, quantum corrections are needed to stabilise other directions transverse to the overall volume. This allows exponentially large volume minima to be realised for fibration Calabi-Yaus, with the various moduli of the fibration all being stabilised at exponentially large values. String loop corrections may also play a role in stabilising 4-cycles which support chiral matter and cannot enter directly into the non-perturbative superpotential. We illustrate these ideas by studying the scalar potential for various Calabi-Yau three-folds including K3 fibrations and briefly discuss the potential phenomenological and cosmological implications of our results.

Abstract:

Inspired by the success of analytical models for non-perturbative effects, used to investigate event shape variables at LEP and HERA, we apply them to a study of jets at hadron colliders such as the Tevatron and the LHC. We find that simple analytical estimates are able to shed considerable light on issues that could previously be tackled only through Monte-Carlo simulations, for example the role of different non-perturbative effects in various jet algorithms. In this context, we also provide testable numerical results for the commonly studied inclusive-jet $p_t$ distribution, and we introduce new observables that could be employed to verify our calculations.