Scientific curriculum
Training in the following scientific areas will be provided at the SAGEX schools. Please see the event listings for further details.
Prerequisites
- Quantum Field Theory including Feynman diagrams and traditional perturbative methods.
Basics of Amplitudes
- Kinematics and building blocks (color decomposition, spinor helicity formalism, twistor variables, momentum twistors).
- Tree-level technology, in particular recursions (off-shell currents (Berends-Giele), onshell (BCFW), CSW rules).
Loop-Level Technologies
- Amplitude decompositions (Master Integrals, IBP, Laporta algorithm).
- Computation of integral coefficients (unitarity, generalised unitarity, D-dimensional methods, OPP algorithm).
- Integration and summation strategies (Feynman and Mellin-Barnes representations, differential and difference equations, symbolic summation and integration).
- Mathematical structure of loop amplitudes (generalized polylogarithms, symbols, Hopf algebra structure, iterative and non-iterative sums).
- Computer algebra tools (FORM, Mathematica, FeynArts, FormCalc).
Specialised topics in Amplitudes
- Factorisation properties of amplitudes (soft/collinear).
- IR cancellation between real and virtual contributions.
- Landau singularities and Landau equations.
- Regge Kinematics.
- Collider physics (extracting predictions from amplitude calculations).
- Twistor actions.
- Basics of Grassmannian geometry.
- Near-collinear kinematics and the Pentagon Operator Product Expansion.
Symmetries
- Super(conformal)symmetry (on shell superspace/superamplitudes, SUSY Ward identities, SUSY BCFW recursion).
- Hidden symmetries and integrability (Dual conformal symmetry, Yangians, 2d S-matrices, N=4 SYM, ABJM).
- Asymptotic symmetries and soft theorems.
String Theory and String-inspired methods
- Basics of string amplitude computation (open and closed strings).
- KLT in string theory and field theory.
- Color-kinematics duality and double copy.
- CHY formulae.
- AdS/CFT correspondence.