Next-to-soft corrections to high energy scattering in QCD and gravity

Abstract

We examine the Regge (high energy) limit of 4-point scattering in both QCD and gravity, using recently developed techniques to systematically compute all corrections up to next-to-leading power in the exchanged momentum i.e. beyond the eikonal approximation. We consider the situation of two scalar particles of arbitrary mass, thus generalising previous calculations in the literature. In QCD, our calculation describes power-suppressed corrections to the Reggeisation of the gluon. In gravity, we confirm a previous conjecture that next-to-soft corrections correspond to two independent deflection angles for the incoming particles. Our calculations in QCD and gravity are consistent with the well-known double copy relating amplitudes in the two theories.

37 pages, 9 figures

References in corpus (19)

• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Soft sub-leading divergences in Yang-Mills amplitudes
• Subleading soft theorem in arbitrary dimension from scattering equations
• Small x Resummation with Quarks: Deep-Inelastic Scattering
• The method of regions and next-to-soft corrections in Drell-Yan production
• Forward Jet Production at the Large Hadron Collider
• The azimuthal decorrelation of jets widely separated in rapidity as a test of the BFKL kernel
• Diagrammatic insights into next-to-soft corrections
• Towards an S-matrix Description of Gravitational Collapse
• Perturbative gravity at null infinity
• A Global Fit to Scattering Data with NLL BFKL Resummations
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Small-$x$ resummation from HELL
• Analyzing high-energy factorization beyond next-to-leading logarithmic accuracy
• High-energy string-brane scattering: leading eikonal and beyond
• Four-point Amplitudes in N=8 Supergravity and Wilson Loops
• Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes
• Higgs Boson Production in Association with Multiple Hard Jets

Cited by in corpus (30)

• Radiation Reaction from Soft Theorems
• The Kerr-Schild double copy in curved spacetime
• On an Exponential Representation of the Gravitational S-Matrix
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Compton Black-Hole Scattering for $s\le 5/2$
• The partial Bondi gauge: Further enlarging the asymptotic structure of gravity
• Classical Solutions and their Double Copy in Split Signature
• Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
• Sub-subleading Soft Graviton Theorem from Asymptotic Einstein's Equations
• A double copy for asymptotic symmetries in the self-dual sector
• Weyl doubling
• Subleading Soft Theorem for Multiple Soft Gravitons
• Light bending from eikonal in worldline quantum field theory
• Asymptotic dynamics on the worldline for spinning particles
• Graviton particle statistics and coherent states from classical scattering amplitudes
• Bethe-Salpeter equation for classical gravitational bound states
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• More on the Classical Double Copy in Three Spacetime Dimensions
• The single copy of the gravitational holonomy
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Large Gauge Effects and the Structure of Amplitudes
• Celestial $w_{1+\infty }$ charges and the subleading structure of asymptotically-flat spacetimes
• Soft Graviton Emission at High and Low Energies in Yukawa and Scalar Theories
• Quantization Conditions and the Double Copy
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• The Weyl double copy from twistor space
• A functional approach to the next to eikonal approximation of high energy gravitational scattering
• Yang-Mills observables: from KMOC to eikonal through EFT
• Double soft graviton factors from the gravitational Wilson line