One-loop soft theorems via dual superconformal symmetry

2015/11/20 by Andreas Brandhuber, Edward Hughes, Bill Spence +1
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Geometry #Helicity #Loop (graph theory) #Mathematical physics #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Planar #Quantum mechanics #Symmetry (geometry) #Theoretical physics #Universality (dynamical systems) #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep03(2016)084

40 pages, 5 figures

arxiv created 2015/11/20 · openalex publication_date 2016/03/01 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study soft theorems at one loop in planar N=4 super Yang-Mills theory through finite order in the infrared regulator and to subleading order in the soft parameter δ. In particular, we derive a universal constraint from dual superconformal symmetry, which we use to bootstrap subleading log δ behaviour. Moreover, we determine the complete infrared-finite subleading soft contribution of n-point MHV amplitudes using momentum twistors. Finally, we compute the subleading log δ behaviour of one-loop NMHV ratio functions at six and seven points, finding that universality holds within but not between helicity sectors.

Citations

• Evidence for a New Soft Graviton Theorem
• Efficient Tree-Amplitudes in N=4: Automatic BCFW Recursion in Mathematica
• Proof of the dual conformal anomaly of one-loop amplitudes in 𝒩 = 4 SYM
• Multi-soft theorems in gauge theory from MHV diagrams
• On single and double soft behaviors in NLSM
• On planar gluon amplitudes/Wilson loops duality
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Dual superconformal invariance, momentum twistors and Grassmannians
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• The infrared divergence phenomena and high-energy processes
• Two-loop QCD corrections to the helicity amplitudes for H → 3 partons
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Degenerate Systems and Mass Singularities
• Note on the Radiation Field of the Electron
• Soft Theorems from Effective Field Theory
• Soft theorem for the graviton, dilaton and the Kalb-Ramond field in the bosonic string