After an introduction recalling the theoretical motivation for low energy (100 GeV to TeV scale) supersymmetry, this review describes the theory and experimental implications of the soft supersymmetry-breaking Lagrangian of the general minimal supersymmetric standard model (MSSM). Extensions to include neutrino masses and nonminimal theories are also discussed. Topics covered include models of supersymmetry breaking, phenomenological constraints from electroweak symmetry breaking, flavor/CP violation, collider searches, and cosmological constraints including dark matter and implications for baryogenesis and inflation.

We report an error in the renormalization group equations ͑RGE's͒ ͑A13͒-͑A21͒. The normalization of the U͑1͒ gauge couplings requires that in Eqs. ͑A13͒-͑A21͒ and ͑B18͒-͑B19͒, g 1 2 should be replaced by 3 5 g 1 2 , and g 1 Ј 2 should be replaced by.47 m 2 02 Ϫ0.12 m 1 02 Ϫ0.12 m S 02 Ϫ0.41 m U 02 Ϫ0.41 m Q 02 Ϫ0.031 A 02 Ϫ0.039 A Q 02 Ϫ3.21͑ M 1/2 ͒ 2 ϩ0.034 A 0 A Q 0 ϩ0.035 A 0 M 1/2 Ϫ0.18 A Q 0 M 1/2 , ͑6͒ m S 2 ͑ M Z ͒ϭϪ0.25 m 2 02 Ϫ0.38 m 1 02 ϩ0.62 m S 02 ϩ0.12 m U 02 ϩ0.12 m Q 02 Ϫ0.11 A 02 ϩ0.017 A Q 02 ϩ0.42͑ M 1/2 ͒ 2 ϩ0.068 A 0 A Q 0 Ϫ0.1 A 0 M 1/2 ϩ0.087A Q 0 M 1/2 , ͑7͒ m U 2 ͑ M Z ͒ϭϪ0.27 m 2 02 ϩ0.05 m 1 02 ϩ0.05 m S 02 ϩ0.68 m U 02 Ϫ0.32 m Q 02 ϩ0.017 A 02 Ϫ0.032 A Q 02 ϩ4.1͑ M 1/2 ͒ 2 ϩ0.00 A 0 A Q 0 ϩ0.06 A 0 M 1/2 Ϫ0.15 A Q 0 M 1/2 , ͑8͒

We address intermediate scales within a class of string models. The intermediate scales occur due to the SM singlets S i acquiring non-zero VEVs due to radiative breaking; the mass-square m 2 i of S i is driven negative at µ RAD due to O(1) Yukawa couplings of S i to exotic particles (calculable in a class of string models). The actual VEV of S i depends on the relative magnitude of the non-renormalizable terms of the typeŜWe mainly consider the case in which the S i are charged under an additional non-anomalous U (1) ′ gauge symmetry and the VEVs occur along F -and Dflat directions. We explore various scenarios in detail, depending on the type of Yukawa couplings to the exotic particles and on the initial boundary values of the soft SUSY breaking parameters. We then address the implications of these scenarios for the µ parameter and the fermionic masses of the standard model.

The conclusions of the Physics Working Group of the International Scoping Study of a future Neutrino Factory and super-beam facility (the ISS) are presented. The ISS was carried out by the international community between NuFact05, (the 7th International Workshop on Neutrino Factories and Super-beams, Laboratori Nazionali di Frascati, Rome, 21-26 June 2005) and NuFact06 (Ivine, CA, 24-30 August 2006). The physics case for an extensive experimental programme to understand the properties of the neutrino is presented and the role of high-precision measurements of neutrino oscillations within this programme is discussed in detail. The performance of second-generation super-beam experiments, beta-beam facilities and the Neutrino Factory are evaluated and a quantitative comparison of the discovery potential of the three classes of facility is presented. High-precision studies of the properties of the muon are complementary to the study of neutrino oscillations. The Neutrino Factory has the potential to provide extremely intense muon beams and the physics potential of such beams is discussed in the final section of the report.