Scattering amplitudes in gauge theories with and without supersymmetry
arXiv:1409.8087
Abstract
This thesis aims at providing better understanding of the perturbative expansion of gauge theories with and without supersymmetry. At tree level, the BCFW recursion relations are analyzed with respect to their validity for general off-shell objects in Yang-Mills theory, which is a significant step away from their established zone of applicability. Unphysical poles constitute a new potential problem in addition to the boundary behavior issue, common to the on-shell case as well. For an infinite family of massive fermion currents, both obstacles are shown to be avoided under the certain conditions, which provides a natural recursion relation. At one loop, scattering amplitudes can be calculated from unitarity cuts through their expansion into known scalar integrals with free coefficients. A powerful method to obtain these coefficients, namely spinor integration, is discussed and rederived in a somewhat novel form. It is then used to compute analytically the infinite series of one-loop gluon amplitudes in N = 1 super-Yang-Mills theory with exactly three negative helicities. The final part of this thesis concerns the intriguing relationship between gluon and graviton scattering amplitudes, which involves a beautiful duality between the color and kinematic content of gauge theories. This BCJ duality is extended to include particles in the fundamental representation of the gauge group, which is shown to relieve the restriction of the BCJ construction to factorizable gravities and thus give access to amplitudes in generic (super-)gravity theories.
arXiv comment111 pages, PhD thesis defended on 12/09/2014
References in corpus (88)
- Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
- Scattering Amplitudes with Open Loops
- New Relations for Gauge-Theory Amplitudes
- Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
- Multi-Parton Amplitudes in Gauge Theories
- MHV Vertices And Tree Amplitudes In Gauge Theory
- Dimensionally Regulated Pentagon Integrals
- Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
- The Amplituhedron
- An Automated Implementation of On-Shell Methods for One-Loop Amplitudes
- Automation of one-loop QCD corrections
- Gravity as the Square of Gauge Theory
- Minimal Basis for Gauge Theory Amplitudes
- Scattering Equations and KLT Orthogonality
- Direct extraction of one-loop integral coefficients
- On Tree Amplitudes in Gauge Theory and Gravity
- GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond
- D-dimensional unitarity cut method
- Helac-nlo
- Explicit BCJ Numerators from Pure Spinors
- Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
- Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
- Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity
- Open & Closed vs. Pure Open String Disk Amplitudes
- Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report
- Into the Amplituhedron
- The Ultraviolet Properties of N=4 Supergravity at Four Loops
- The Cut-Constructible Part of QCD Amplitudes
- Consistency Conditions on the S-Matrix of Massless Particles
- E7(7) constraints on counterterms in N=8 supergravity
- Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- Color-kinematic Duality for Form Factors
- Closed String Amplitudes as Single-Valued Open String Amplitudes
- Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
- One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
- On the Coupling of Gravitons to Matter
- Maximal Unitarity at Two Loops
- N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
- Generalized unitarity for N=4 super-amplitudes
- All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
- Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
- New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
- Tree Level Recursion Relations In General Relativity
- The No-Triangle Hypothesis for N=8 Supergravity
- The Structure of n-Point One-Loop Open Superstring Amplitudes
- The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
- Loop amplitudes in gauge theories: modern analytic approaches
- Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory
- A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
- All tree-level amplitudes in massless QCD
- On duality symmetries of supergravity invariants
- Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories
- Double-Cut of Scattering Amplitudes and Stokes' Theorem
- Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality
- Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter
- Exploring the S-Matrix of Massless Particles
- BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
- SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
- RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
- On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
- A "Twistor String" Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA
- Compact multigluonic scattering amplitudes with heavy scalars and fermions
- All-Multiplicity One-Loop Corrections to MHV Amplitudes in QCD
- Fundamental BCJ Relation in N=4 SYM From The Connected Formulation
- Multigluonic scattering amplitudes of heavy quarks
- Polynomial Structures in One-Loop Amplitudes
- A note on the boundary contribution with bad deformation in gauge theory
- Getting more flavour out of one-flavour QCD
- On powercounting in perturbative quantum gravity theories through color-kinematic duality
- Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
- Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
- The Next-to-Simplest Quantum Field Theories
- The critical ultraviolet behaviour of N=8 supergravity amplitudes
- On-shell supersymmetry for massive multiplets
- One-loop four-graviton amplitudes in N=4 supergravity models
- All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
- The Unitarity Method using a Canonical Basis Approach
- Graviton emission in Einstein-Hilbert gravity
- Unitarity Method with Spurious Pole
- External leg corrections in the unitarity method
- Massive Quark-Gluon Scattering Amplitudes at Tree Level
- Consistency conditions from generalized-unitarity
- Dyck Words and Multi-Quark Primitive Amplitudes
- Recursion relations for the general tree-level amplitudes in QCD with massive dirac fields
- Boundary Behaviors for General Off-shell Amplitudes in Yang-Mills Theory