Monodromy--like Relations for Finite Loop Amplitudes

Abstract

We investigate the existence of relations for finite one-loop amplitudes in Yang-Mills theory. Using a diagrammatic formalism and a remarkable connection between tree and loop level, we deduce sequences of amplitude relations for any number of external legs.

24 pages, 6 figures, v2 typos corrected, reference added

References in corpus (6)

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• Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program
• All tree-level amplitudes in N=4 SYM
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Cited by in corpus (25)

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• Colour-Kinematics Duality for One-Loop Rational Amplitudes
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory
• Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
• N >= 4 Supergravity Amplitudes from Gauge Theory at One Loop
• BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
• Tree-level amplitudes from the pure spinor superstring
• New Formulas for Amplitudes from Higher-Dimensional Operators
• New relations for scattering amplitudes in Yang-Mills theory at loop level
• All-loop group-theory constraints for color-ordered SU(N) gauge-theory amplitudes
• SU(N) group-theory constraints on color-ordered five-point amplitudes at all loop orders
• Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts
• Dual-color decompositions at one-loop level in Yang-Mills theory
• On Primary Relations at Tree-level in String Theory and Field Theory
• BCJ Identities and $d$-Dimensional Generalized Unitarity
• A minimal approach to the scattering of physical massless bosons
• Symmetric-group decomposition of SU(N) group-theory constraints on four-, five-, and six-point color-ordered amplitudes
• Note on symmetric BCJ numerator
• One-loop SYM-supergravity relation for five-point amplitudes
• Plahte Diagrams for String Scattering Amplitudes
• KK-like relations of ${\alpha }^{\prime }$ corrections to disk amplitudes