Chiral Perturbation Theory Beyond One Loop

The existing Chiral Perturbation Theory (ChPT) calculations at order $p^6$ are reviewed. The principles of ChPT and how they are used are introduced. The main part is a review of the two- and three-flavour full two-loop calculations and their comparison with experiment. We restrict the discussion to the mesonic purely strong and semileptonic sector. The review concludes by mentioning the existing results in finite volume, finite temperature and partially quenched ChPT.Comment: 66 pages, review article, some references added plus a few discussions extende

Efficiency and income redistribution in the single-peaked preferences model with several commodities

Abstract We consider the problem of allocating m infinitely divisible commodities among agents with single-peaked preferences. We propose a variation on the Mas-Colell's Walrasian solution with slacks to characterize the efficient allocations. Our solution allows us to associate with each efficient allocation an income redistribution. We prove that the original solution proposed by Mas-Colell is the efficient selection which requires an income redistribution where the maximum payoff and the maximum subsidy are smallest. This generalizes a derivation of the Uniform Rule by Schummer and Thomson

Search for a heavy gauge boson decaying to a charged lepton and a neutrino in 1 fb-1 of pp collisions at √s = 7 TeV using the ATLAS detector

The ATLAS detector at the LHC is used to search for high-mass states, such as heavy charged gauge bosons (W'), decaying to a charged lepton (electron or muon) and a neutrino. Results are presented based on the analysis of pp collisions at a center-of-mass energy of 7 TeV corresponding to an integrated luminosity of 1.04 fb-1. No excess above Standard Model expectations is observed. A W' with Sequential Standard Model couplings is excluded at the 95% confidence level for masses up to 2.15 TeV